diff --git "a/data/dm_maths/full_data/1383_11255.jsonl" "b/data/dm_maths/full_data/1383_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1383_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the common denominator of -53\/37485 and 31\/4228?\nAnswer: 22640940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -10*r - 4*r + 7 - 17 - 3*r. What is the hundreds digit of q(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 10 = -0*d - 5*q, d + 12*q - 13*q + 6 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 + -47. Let c = 169 - 1857\/11. Let f = 2 + -1.9. What is the nearest to f in m, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3136485 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2585371 to 3 dps.\nAnswer: -1.259","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -402*f = -399*f - 336. Let x be 31*(-1 - (1 - 1)). Let p = -17 - x. Calculate the highest common factor of p and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1620501, -3241001, -4861501, -6482001, -8102501, -9723001?\n\"Answer: -1620500*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -469 divided by -1996.\nAnswer: 469\/1996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbbmmam. What is prob of picking 1 a and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 + 9 + 0 + 8. What is the remainder when (237\/9)\/(2\/p) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 108860 or 108861?\nAnswer: 108861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3140 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25650178?\nAnswer: 2, 17, 754417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -313.5 + 314. Let w = 0.4 - 10.4. What is the smallest value in 0, w, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjqy when four letters picked without replacement from qjqyjvjyqjjvvvyq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/341, 3, 1, 44.\nAnswer: 2\/341, 1, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-87*g + g - 13*g)*(2*g + 2*g - 3*g) + (1 + 1 + 12)*(-2 + 25*g**2 - 24*g**2 - 6) in the form y*g + u*g**2 + t and give u.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/(-14) + 6\/(-21)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1616 to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1)*m**(-2\/29))\/(m*m**(1\/4)*m*m)**(-11\/2) assuming m is positive.\nAnswer: m**(4595\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1782575136.\nAnswer: 2, 3, 19, 199, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 6:40 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*z + 2*z. What is the third derivative of -25*c**5 - 7*c**5 - 6*c**2 - 34*c**2 - z*c**5 wrt c?\nAnswer: -2220*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*a**2*k - 17*a**2 + a - 129*k**2 + 74 wrt k.\nAnswer: -8*a**2 - 258*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -142, 4, 44, -5 in ascending order.\nAnswer: -142, -5, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l**(-4\/5)*l*l)\/l*l*l\/(l*((l*l*l**(-12)\/l)\/l)\/l)*(l*l**1\/l)\/(((l**(10\/7)\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(692\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-352)\/(-2816)*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.12653 + -0.12803. Let x = i + -4. Round x to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from nnpnnnppnnn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a day in seconds?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (2 + -3) - -97 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-72))\/(-13)*(-108)\/81*18\/(-16)\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10644 + -10639. Solve -8*p - 3*j + 3 = -i*p, 2*p = 4*j + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 14, -5, 6 in ascending order.\nAnswer: -5, 3, 4, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*d - 11577*d + 32 - 32.\nAnswer: -11809*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -19898, -5, -268 in increasing order.\nAnswer: -19898, -268, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -382 (b) 7\/2 (c) -0.2 (d) 0.23 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2493923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*a - a - 15 = 0, 2*s + 3*a = -9. Let c(t) = 2*t + 263. Is c(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.127. Let p = 0.16 - 0.216. Let t = p + y. Round t to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12186\/5 + 365599\/150. Find the common denominator of -37\/50 and r.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34999972.9 rounded to the nearest 10000?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -7. Let w = 0.1008 + 29.8992. Let d = p - w. Which is greater: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 103 = 5*r, 136 = 4*q - 4*r - 0*r. Let x = 11 - q. What are the prime factors of (-1 - -6)*(1 - x)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234581 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 923 + -280. What is the remainder when f is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -1525447 and -1525428 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*j = -234, f - 5*j - 42 = -0*f. Let m be ((-19)\/(-4))\/(3\/36). Let q = m - f. Solve 3 = r - q*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/47 - (-4250750)\/163090?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - (-6)\/9)*15. Calculate the greatest common divisor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 740*d + 11773291 + 3*d**3 - 11773291 + 1380*d - 52*d**4 wrt d.\nAnswer: -624*d**2 + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174579?\nAnswer: 3, 58193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24035*o = -24249*o - 6634 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 8. Let x be n(-2). Solve -4*p - 24 = -8*p + x*i, -3*i = -p + 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 2 = 4*n. Let w = -10 - n. Does 4 divide (-1)\/w + 56\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8140585 is divided by 949.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.7 - 0.8. Let c = 0.4 - n. Let l = c + -1.7. What is l rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2280 = 437*f - 338*f - 4353 for f.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*h**3 - 355*h**3 - 282*h**3 + 151*h**3.\nAnswer: -698*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0434863 and 1178.5.\nAnswer: 1178.4565137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 + -111 - (-1 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -774*a**6 + 229*a**4 + 25*a**2 + 349*a.\nAnswer: -92880*a**3 + 5496*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -19*a**9\/72 - a**8\/336 - 25*a**5\/3 + 554*a**2 + 2*a. Find the third derivative of l(r) wrt r.\nAnswer: -15960*r**3 - 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4043 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 79199.04 milliseconds?\nAnswer: 79199040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/8282820 and 143\/8610.\nAnswer: 8282820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -12*j. Let z(a) be the second derivative of -a**4\/6 - 13*a. Calculate z(v(b)).\nAnswer: -288*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.63 + 4.54. Let s = -22.91 - -23. Let t = s + z. Which is the third smallest value? (a) -0.2 (b) t (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 96.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, 1, 7 in descending order.\nAnswer: 7, 1, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30790, 246341, 831410, 1970755, 3849134, 6651305?\nAnswer: 10562026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*t**3 + 6379*d**2*t + 2*d**2 + 70*d*t**3 - 2*d*t**2 + d + 46*t**3 + 2*t**2 wrt d.\nAnswer: 4*t**3 + 12758*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2441519547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 3*k + 2. Let u be s(-4). Let c be (5 + u)\/((-1)\/(-3)). Let w = 19 - c. Calculate the highest common divisor of 25 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9241 + 97*i + 39*i - 9247)*(2*i + 0*i + 0*i) to the form n + a*i**2 + j*i and give a.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -9*u + 13. Solve -3*m + 15 = -5*o + u*o, m - 5*o = 13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.5.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 c when four letters picked without replacement from {c: 3, x: 1, g: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 45 = -5*c, -2*c = 5*z - c - 99. Suppose -1972*y + 1969*y + 60 = 0. What is the lowest common multiple of z and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s*s**1)\/s)*s**(-7\/3))\/(s\/(s*s\/((s\/(s**(-16)*s))\/s))*s\/(s*s*(s*s**(-9\/5)*s)\/s)) assuming s is positive.\nAnswer: s**(-257\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, y: 2, f: 2, t: 5, s: 7}. Give prob of picking 1 t, 1 f, 1 s, and 1 z.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38633098 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 4679115.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16742 + -16747. Let g = 3 - 3. Which is the third biggest value? (a) g (b) j (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2850 and 16625?\nAnswer: 99750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18913 is divided by 6293.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-428)\/107)\/(896\/48).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 31*j**2 + 58*j - 1126. Determine a(32).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fefeeeeeeefeefefee. What is prob of picking 2 e and 1 f?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2456 divided by -4?\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 0 - (-12)\/3. Suppose 0 = f*m - 2*j - 36, 0 = 3*m - 6*m - j + 27. Which is smaller: m or 10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9563921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -38535950 and 0.3.\nAnswer: -38535949.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20128 is divided by 6703.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-4) - (2 + -1). Suppose j - 155 = 6*j - 5*q, -2*j - 56 = -y*q. Let d = j - -85. What is the greatest common divisor of d and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 2*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*t - 713 = -440 + 588. Sort t, 3, 26 in increasing order.\nAnswer: 3, t, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 405392?\nAnswer: 81078.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03 and -5577064?\nAnswer: 5577064.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.18? (a) 2 (b) 43 (c) 0.2 (d) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28881733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*t + 5 = 0, 0 = o - 5*o + 4*t + 16. Suppose o*m - 24 = -4*f, 2*m - 1 = 3*f - 2. Solve m*v + 4 = -4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101111 (base 2) to base 12.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 1410*p**2.\nAnswer: -p**2*(p + 1410)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as 270810?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -153 and -2.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -13, -7, 3, 17, 35, 57?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -85 (b) 22 (c) 1 (d) 5 (e) -9\/4 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 7. Let a be t\/(-54)*4\/(-2). Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599818.5 months in millennia?\nAnswer: 49.984875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/(-117) + 209756\/90. Let n = q + -2318. What is the common denominator of n and -101\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (324648\/(-568134))\/((-2)\/(-133)*(-3)\/3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 307 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4303094885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01011587 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 19. Let a = p - 10. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 58025?\nAnswer: 6\/11605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2926\/154 - 282776\/14872.\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = -3*s - 47, -9 = -w - 72*s + 68*s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 5.8 and -3\/413368 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 7*y**2 + 4*y - 1. Give r(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/2)\/(-15) - (-2)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - v)*(0 + 0 - 2) + 69 - 69 + 17*v + (-v - 2*v + 4*v)*(0 + 2 - 1) + 2 + 8*v - 2 - 3 + 3 - v as x + d*v and give d.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4821804 is divided by 4821783?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 1e42c?\nAnswer: -1e431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*v - 802 - 1354 = -427 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.7227 rounded to 1 decimal place?\nAnswer: -26.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 32*l - 201. Let s be p(33). Let g = -951 - -589. Let n = s - g. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19728 by -4932.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -403 + 459. Calculate the lowest common multiple of v and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3002248149 to the nearest integer?\nAnswer: 54793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 53 = 17*k. Solve k = -p + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7511414 rounded to 3 dps?\nAnswer: 0.751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/203)\/(9\/((-486)\/(-72))*15\/10).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 4308\/14 + (8\/(-52))\/(28\/(-52))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -68, -12, -2\/3, 3\/2?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1107 divided by -369.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 21*m + 5. Is (-4 - -2) + -1 + (675 - m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19232.27 litres in millilitres?\nAnswer: 19232270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4253, 4261, 4281, 4319, 4381?\nAnswer: 4473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 101 divided by -1164077\nAnswer: -101\/1164077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 26*u + 478. Calculate n(-19).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -348\/148039 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -12552?\nAnswer: 12557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**2 - 1\/12*g**4 + 4\/3*g**3 - 3*g + 0. List the prime factors of n(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*j**3*o**2 + 122*j**3*o - 1373*j**2*o**3*t + 130*j*o*t wrt o.\nAnswer: -10*j**3 - 8238*j**2*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3778 - 3775. Solve v + 6 = -5*y - 7, 0 = 3*y - u*v + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30200000 rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 987307 and 1988908?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79568 + 718204\/9. Let g = 232 - t. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13948*b**2 + 34156*b**2 + 10721*b**2 + 12718*b**2.\nAnswer: 43647*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.062 and -4020597118.\nAnswer: -4020597117.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 4*x + 22, 11 = -3*y - 7*x + 6*x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 60, 205, 448, 795, 1252, 1825?\n\"Answer: o**3 + 43*o**2 + 9*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 320020 (base 4) in base 5?\nAnswer: 103332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*i**4 - 4236*i**3 - 35*i**2 - 6645*i + 147 wrt i.\nAnswer: 96*i**2 - 25416*i - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 873, 14723, -14 in ascending order.\nAnswer: -14, 873, 14723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5\/(-2632))\/((-19)\/((-1368)\/4)) and -71\/752?\nAnswer: 5264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 38275995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 7 - 7*n**2 - 4 to the form q*n**2 + a + i*n and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6}. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 33*h + 1045 = -1039 + 4 for h.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2587, -5629, -9131, -13093, -17515?\nAnswer: -22397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14 + -0.15. What is the nearest to -2\/9 in -5, o, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 309 or 308?\nAnswer: 309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -2, -0.33, 1, 119?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 2, 62, -4, -6 in increasing order.\nAnswer: -6, -4, -2, -1, 2, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k + 6*k - q, 0 = -2*k + 5*q - 5. Suppose 6*o - 13*o + 651 = k. What are the prime factors of o?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13937.0037 + -13942. Let x = -0.0037 + h. What is the smallest value in -4\/5, x, 68?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 71105, 142213, 213321, 284429, 355537?\n\"Answer: 71108*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from ouoououuuuuuo.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441606120?\nAnswer: 2, 3, 5, 107, 163, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 4\/103, -309, 5?\nAnswer: 4\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 + (-24)\/40)*(12 + 943) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**5\/5 - 948*z**4\/5 + 3988*z**3 - 54172*z**2\/5 + 52296*z\/5 - 3424 = 0 for z.\nAnswer: 1, 20, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -1)\/(-4 + 5). Let n = -131\/5 - -26. What is the closest to p in -0.3, n, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 - (-8 + (8 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4850459?\nAnswer: 4850459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -s + 5*s - 2*f, s - f = -16. Let y = 19 + s. Suppose 0 = -2*c + 3*c - 9. What is the lowest common multiple of c and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2. Let j = -649 + 650. Let p(c) = 7*c**2 - 6*c. Calculate j*p(n) - 6*w(n).\nAnswer: n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 - 3*b**2 + 3*b**2)*(b**2 + 0*b**2 + b**2) + 4*b + 40*b**4 + 3*b - 6*b - b**3.\nAnswer: 32*b**4 - b**3 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 11404*w**2 - 789344*w - 13497456.\nAnswer: 4*(w - 2919)*(w + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -128*p**2 + 1. Let y(w) = -18 - 6*w + 6*w + 4*w**2 + 18. Give o(y(q)).\nAnswer: -2048*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-81) + 16\/36?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 663 = 4*x - 2*b - 353, -2*b = 3*x - 748. Calculate the highest common factor of x and 567.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 6:07 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.6241 - 0.3\nAnswer: 0.3241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 3, 4, -2\/127, -1.58, 0.8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6385705*h**5 - 7*h + 300142.\nAnswer: -127714100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172759 - 13*g - 172759.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2. Let i(j) be the third derivative of -7*j**4\/8 - j**2 + 2. Give k(i(s)).\nAnswer: 441*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p**2 - 8*p - 8. Let w be k(-8). Let t = -256 - w. Is 25 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1664*l**4 - 1666*l**4 - 12 - 4*l - 94 wrt l.\nAnswer: -8*l**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12\/59 + -85\/708. Let s(a) be the third derivative of -1\/60*a**6 + k*a**4 - 10*a**2 - 1\/15*a**5 + 2\/3*a**3 + 0*a + 0. Factor s(o).\nAnswer: -2*(o - 1)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 9*n**2 + 17*n + 1. Let b(t) = t**3 - 8*t**2 - 16*t. Let z(f) = 6*b(f) + 5*r(f). What is the units digit of z(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 8*j - 18. Determine a(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 4\/57, 2\/3, 16, 53.\nAnswer: 4\/57, 1\/5, 2\/3, 16, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**3\/3 + 225604*f**2\/3 - 3158284*f\/3 + 1804720 = 0.\nAnswer: 2, 12, 225590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293862?\nAnswer: 2, 3, 17, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -k + p + 9, 2*k = 2*p + 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -19. Suppose -2*o = 2 + 6. Calculate the remainder when 31 + (o - -6 - 1) is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 15\/7 (c) 2\/23 (d) -107 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -50*u**2 - 2133*u - 8860. Determine o(-38).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4.82, 6, -118?\nAnswer: 4.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1) + (-1 - 1) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2589592 to the nearest integer?\nAnswer: 1609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -668, -1004, -1340?\nAnswer: -1676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 42, 52, 60?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 a factor of 26067585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**3*y**2 + 65*p**2*y - 5*p*y**2 + 14*p wrt p.\nAnswer: 18*p*y**2 + 130*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 534807 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6a6a475 - -2?\nAnswer: -6a6a473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*t = -100. Solve v - 5*i = t, 0*i = -v - 2*i - 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + 53 + -114 - (-3 - (-1 - -33)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335037.\nAnswer: 3, 29, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 6:06 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -429, -1042, -1999, -3474, -5641?\n\"Answer: -29*q**3 + 2*q**2 - 416*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5103 + 5100 - 25489 + 5094 + 16*i**2 + 5092 + 5098.\nAnswer: 16*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d. Let x(c) = -136*c + 2. Determine f(x(l)).\nAnswer: 272*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 6*p**2 + 9*p - 7. Let f be j(7). Suppose -3*z - f*z = -170. What is the smallest common multiple of 10 and z?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1920620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 209339\/60 or 3488?\nAnswer: 209339\/60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 438 and 64094.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 15 = 36. Let s be (-2)\/4 - d\/(-2). What are the prime factors of 32 - (-4)\/(s\/(-3))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -549.938 to the nearest integer.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 3476 + 1036 = 2368. Which is smaller: -621 or l?\nAnswer: -621","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - 2033221123?\nAnswer: -2033221033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**4\/6 + m**2 + m. Factor r(w).\nAnswer: -2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 + (-44 - -120) + 96 + 10 + 1?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -197.205 - -0.205. Let r = d + 199. Put -2\/9, -0.4, r, -11 in ascending order.\nAnswer: -11, -0.4, -2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7232, 14577, 21936, 29315, 36720, 44157, 51632, 59151?\n\"Answer: r**3 + r**2 + 7335*r - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 11, 1776, 2, 0, 36 in increasing order.\nAnswer: -4, 0, 1, 2, 11, 36, 1776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0621310132 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*y - 24, 2*y - 6*y - 4*z - 24 = 0. Sort -3, 0, y in increasing order.\nAnswer: y, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 217551 + -5?\nAnswer: 217544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 0 + 2*f**5 - 1\/3*f**2 - 11\/3*f**4 + 0*f + 2*f**3 = 0.\nAnswer: 0, 1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*k + 398 = -46*k. Calculate the remainder when k is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (-2)\/(2 + -3). Let t be 81\/280 + c\/(-14). Let z = 3509\/2520 - t. What is the common denominator of 53\/14 and z?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 - 2*m + 2*m + (-4*m - 3*m + 5*m)*(-4*m + m + 5*m) - 3*m + 3*m - m**2 - 3*m**2 + 0*m**2 + 0*m**2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -337 - -1607\/4. Which is bigger: i or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 9*v + 20. Let k be p(2). Let h be (k\/(-24))\/(6\/8). Which is the nearest to 0? (a) 0.4 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4 - 6. Suppose w*z = -3*z. Suppose z*q + 152 = 4*q. Calculate the remainder when q is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b**3*r**3 + 28*b**3*r**2 + 13*b**2*r**4 - 2*r**2 wrt r.\nAnswer: -30*b**3 + 312*b**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-2\/3)*z*z**(3\/10)*z assuming z is positive.\nAnswer: z**(119\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 13860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 1990, 7312, 17820, 35242, 61306?\nAnswer: 97740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -33*d - 1028. Let s be z(-31). Put s, -78\/5, 3, -3 in increasing order.\nAnswer: -78\/5, s, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -888, 5, 0.43, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 415109558?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5004.74278 rounded to one decimal place?\nAnswer: 5004.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179850682 by -9274.\nAnswer: 19393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 161.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5371067553 to the power of 1\/4, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 5*b - 1. Let x be m(7). Let u = x + -9. Calculate the greatest common factor of u and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 - 9*m + 18. Give n(5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 - 9 - -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(208) + 1*sqrt(208))\/sqrt(4) + (sqrt(416)*1)\/sqrt(8))\/(4*(-1*sqrt(144) - sqrt(144))))**2.\nAnswer: 13\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27102688 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/(-54))\/(2\/4). Let m = 35225 - 35226. Which is bigger: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 4*d + 208, 4*o - o + 5*d = 307. Let u = 235 - o. What are the prime factors of u?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 55855118\nAnswer: 390985826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c. Let y(s) = 3*s. Let f(x) = 4*m(x) - 11*y(x). Calculate f(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-6)*(-12)\/16*-4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*k = -6*a + 174, -4*a - 2*k + 274 = 0. Calculate the remainder when 366 is divided by a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13, 78, 223, 422?\n\"Answer: 27*z**2 + 10*z - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 4:17 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4209 divide 1416227484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 530 - 3*r - 65*r**3 - 530 + 200*r**3.\nAnswer: 135*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 463802576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - 1 + 1)*(2 - 2 - r)*(0 - 3 + 1)*(-r - 4*r + 2*r).\nAnswer: 30*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -11. Suppose -3*o + h = -2*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*k - 32 = 67*k. Suppose 2*w + 26 = k*l, -8*w + 3*w + 43 = 2*l. Solve -4 = -5*u + b, u + 2*b + l = 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8682.487 centuries in years?\nAnswer: 868248.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 3. Give z(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (351\/6 + 0)\/5 and (-35)\/(-9)*6\/(-15).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -21544?\nAnswer: -21535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**2 + 9*h**2 - 10*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1058*x**2 + 10*x + 77701 wrt x.\nAnswer: 2116*x + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 427, 650, 891, 1156, 1451?\nAnswer: 1782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4. Suppose -4*l + 30 = 3*k, -k = -m*k - 2. Solve -l*v + 4*v + 4 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 5739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 349*z**2 - 310*z + 4. Is k(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -47, -65, -83, -101?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + (-5*sqrt(63) - sqrt(7)) + sqrt(77)\/(-1*sqrt(11)) + 5 + -2.\nAnswer: -17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbyyyyssymssssfsysys. What is prob of picking 2 y?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21705430?\nAnswer: 2, 5, 17, 127679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3006, -3005, -3004?\n\"Answer: c - 3007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.83 - -0.17. Let s = 18 - p. Let f = 2.18 + -0.18. What is the biggest value in -0.4, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 l when three letters picked without replacement from {c: 3, l: 7}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4557047, 4557041, 4557023, 4556987, 4556927, 4556837, 4556711, 4556543?\n\"Answer: -h**3 + h + 4557047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -7. Suppose -x*a - 3*a + 1345 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00514719 rounded to five dps?\nAnswer: -0.00515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.48 * 28.\nAnswer: 209.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 5*p**3\/6 + p**2\/2 + p. Let y(x) = 3*x - 27. Let o(u) = -26*u + 105. Let h(s) = -o(s) - 4*y(s). Give 6*h(k) - 17*l(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 27*-502\nAnswer: -13554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -163 + 366. List the prime factors of h.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 20 - 5, j - 4*q - 34 = 0. What is the common denominator of 399\/98 + 6\/j and -43\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.57895 + 0.36105. What is the nearest to m in 2\/9, 0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**3 - 487*n**2 + 9806*n - 9320 = 0.\nAnswer: 1, 20, 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 360.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1 = -2. Let o = -36 + 36.1. Let t = 4.8 - -0.2. Which is the smallest value? (a) v (b) t (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = 2*g - 56. Let x = 0 - -4. Suppose -g*b + 28800008 = -3*t - 3*b, -x*t = 2*b + 38399996. What is t rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n + 5. Let k be m(1). Which is bigger: k or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 128 - 128 + 30*p**2 + (5 + p - 5)*(4 + 1 - 3)*(-4*p + 4*p - 2*p).\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 13*j = 240. Suppose -7*l = 6 - j. Let r(h) = -6*h + 1 + 7*h + 1. Determine r(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 11:03 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2133.88kg to nanograms.\nAnswer: 2133880000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n - 53*n = 71*n - 878064. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 7*w - 11. Let h be n(9). Solve 3*f = 5 - 14, -5*f = -2*i + h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1992, 2076, 2160, 2244, 2328, 2412?\n\"Answer: 84*q + 1908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*t**2 + 2*t + 14*t**4 - 14*t**5 - 15*t**4 - t wrt t?\nAnswer: -840*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -23*b - 97. Let k be (60\/(-8))\/(0 - 2\/(-4)). What is the units digit of d(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 52, 102, 162, 226, 288, 342, 382?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -75*c - 69*c - 60*c + 215*c. Let p(j) = 61*j**2. What is p(m(y))?\nAnswer: 7381*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 8*z**2 + 7*z - 1. Let x(g) = -g**3 + 7*g**2 + 7*g - 9. Let v be x(7). Suppose 4*r - j = 3*j - v, 1 = j. What is the units digit of i(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54468055 to the power of 1\/3, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 472*f - 461*f - 55 = 0. Solve -2*m = a - f*a, -a = 3*m - 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 10484.8884ns?\nAnswer: 0.000000000017336125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 21. Solve -j = h + 5*l, -h - 3*h + l - 1 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5484*c**4 - 45243*c**2 - 104971872*c - 4.\nAnswer: 65808*c**2 - 90486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30429699?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 0*x + 0*x)*((4 + 0 - 2)*(2 - 3 + 2) + 3 + 3 - 5 + 2 + 1 - 4)*(4*x**2 - 5*x**2 - 2*x**2).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, 1034\/13, 15, -2\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 9 = 0, -4*x + 0*w = -w - 103. Let k be (5\/(50\/12))\/(2\/x). Let y = 36 + k. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2218*s - 5. Let a(z) = 5546*z - 12. Let m(o) = -5*a(o) + 12*q(o). Let y(w) = 3*w. Give y(m(x)).\nAnswer: -3342*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 6*g**2 - 2*g + 8. Let q be f(-6). Let d(n) = -63*n + 193. Let z be d(3). Suppose 42 = 3*h + 6. Solve -z*r = h, q + 4 = -4*s - 4*r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and -73?\nAnswer: -8.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*k + 32. What is the greatest common divisor of 6 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 64?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 + 12*q**2 - 10*q - 1. Calculate u(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -16 + (-79 - -114 - 68)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.790232504 to five decimal places.\nAnswer: 1.79023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 72*m - 150*m + 27*m - 323*m - 155*m.\nAnswer: 2*m**2 - 529*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -6. Suppose -2*n - n + 15 = 0. Suppose -2*i = 5*h - n*i - 25, -t*i = 2*h + 6. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.7, 10\/11, 12.2, -2\/5, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -12*a + 26. Suppose 0 = -2*r - r - 4*o + 19, -26 = -5*r - o. What is the third derivative of a*s**2 + 3*s**5 + 0*s**2 + 0*s**r - s**5 wrt s?\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -154, -649, -1484, -2659?\n\"Answer: -170*n**2 + 15*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*r + 259*r - v = -6, 4*r - 18 = 2*v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wew when three letters picked without replacement from {l: 2, w: 4, e: 7}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 521.038825 rounded to the nearest 10?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*l**2*p**3 - 1276*l**2*p - 66*l*p + 62*p**3 - 9*p**2 wrt l?\nAnswer: 204*p**3 - 2552*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39\/4 or -2\/11?\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11000111001000 (base 2) to base 5\nAnswer: -401434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i - 13 - 1\/3*i**3 - 1\/2*i**2. What is b(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2244 and -55\/5436.\nAnswer: 1016532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3*n - 36 = 8*n, -l - 352 = -3*l + 43*n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 16*m + 3*f - 222, 3*m - 4*f - 215 = 0. Let v(z) = -z**2 + 46. Let l be v(0). Let o = m - l. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7 or 6280?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(1 - 4\/(-6)). Suppose -39 = 2*h - m*h. Let s = h + -7. Let x(r) = -r**2 + 6*r - 2. Determine x(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6b - -4?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 1:29 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from {w: 9, u: 11}.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 12:21 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267071.\nAnswer: 7, 38153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*((-40)\/(-12) - 3). Let a = 5 - q. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-597*a + 1294*a - 5 + 3375*a + 5)*(-5 - 1 + 0 - 5 + 0 + 3 + (1 - 3 + 1)*(-4 + 3 - 1) - 1 - 3 + 3).\nAnswer: -28504*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-4 - 0) + 2. Suppose -3*k = -z, 0*n - 2*n = 5*k - 58. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 1416 = -4*t - 1414, 5*i = -4*t + 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -4. Let d = -3 + 2. Let n = 4 - d. Does n = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*n**5 + 31*n**2 - 5*n**5 - 8*n**2 wrt n?\nAnswer: -2520*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -104, -736, -1790, -3266?\n\"Answer: -211*x**2 + x + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.02 - -8. Which is the second smallest value? (a) -3 (b) o (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -21*b - 23*b - 45*b. Which is greater: 1\/219 or b?\nAnswer: 1\/219","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 + 0 = 0. Suppose -w - 2 - 1 = -2*x, 2*x = -5*w + 21. Let p(i) = i**2 - 4*i + 9. Let o be p(w). What is the highest common divisor of g and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 43*r**2 + 471*r + 13. Determine n(22).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10075793897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.9408 + -5.8. Let g = 0.161 - b. Round g to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5944 + -5948. Let i = -25 - -23.9. Let d = 1.6 + i. Put d, -5, 0.1, t in descending order.\nAnswer: d, 0.1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 523051 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 6*z**2.\nAnswer: -2*z**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 2 + 2*r - r. Let s be l(8). What is the greatest common divisor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 406037 to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*s**2 - 56*s**2 + 4*s - 2*s**3 - 948 + 18*s**2 - 858 to m + h*s**3 + i*s**2 + r*s and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 + 2*b**2 - b**3 + (54 - 54 + 11*b**2)*(2 - 2 + 2*b) to z*b**2 + p*b**3 + g + v*b and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 133*n**3 - 356*n**2 wrt n?\nAnswer: 798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 6*k + 16. What is the third derivative of 2*l**4 - 3*l**k - 9*l**4 + 9*l**2 + 0*l**4 wrt l?\nAnswer: -240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0.4. Let x = 595 - 612. Sort r, x, 3 in descending order.\nAnswer: 3, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g - 15. Let k be c(-5). Suppose k = -14*d + 13*d + 157. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -1144371833.\nAnswer: -1144371833.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.5 + -19. Put 0.5, c, 2 in increasing order.\nAnswer: c, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8973439 is divided by 26947.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3*k - 16, -4*u - 4*k - 476 = 0. Let p = u + 61. Let f = p - -147. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-20))\/((6\/2)\/36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z\/(z\/z**12*z)))**(-2\/5) assuming z is positive.\nAnswer: z**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.492 in -5, -0.4, -1\/5, 243?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3115*p**2 + 2*p. Let c(z) = 2*z - 80. What is c(o(j))?\nAnswer: 6230*j**2 + 4*j - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -371, -512, -653?\n\"Answer: -141*t - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07531*-0.5.\nAnswer: -0.037655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*q + 135 = 837 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7 (b) -4\/9 (c) 109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f + 19*f = 7*f. Suppose 2*c + c = 5*o + 2, 4*c = 2*o + 12. Solve -6 = 2*b, -o*z + f*z - 3 = -b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.181 and -359.\nAnswer: 2936.979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-12)*s\/(s**13*s*s) assuming s is positive.\nAnswer: 1\/s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 748895\/104 + (-4 - -5). Let f = n - 7202. What is the common denominator of f and 101\/20?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2)*(-6)\/9. List the prime factors of 21 + m\/2*6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 1065168.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 21 = 5*w, -3 = -4*w - x + 6. What is the tens digit of (3\/(-5))\/w - 2608\/(-40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -0.3 (c) 0.07 (d) -3 (e) 276303 (f) -4 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 6. Let b be f(-10). Suppose 0 = -b*a, 4*a = 5*j - a - 200. Let q = j + -9. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7501 is divided by 442?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t - 8*t - 80 = 0. Suppose -4*o - 12 = -2*s + 2, 0 = -2*s - t*o + 54. Calculate the remainder when s is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 180\/84 - (1 + 1). Let w = -11 - -16. Let r be (-2)\/1 + (-1)\/(-1). What is the second biggest value in b, r, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*u + 4. Suppose -u = -6*q + 4. Find the second derivative of 13*b - 268*b**3 + 0*b + 263*b**q wrt b.\nAnswer: -30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 9:26 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 13.68, 11611, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1108341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16390, -14867, -12328, -8773, -4202?\n\"Answer: 508*g**2 - g - 16897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -532, -528, -514, -484, -432?\n\"Answer: q**3 - q**2 - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*h + 8, j - 5*h + 4*h = 4. Suppose m + 9*m + 109000 = j. What is m rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5 - 9, 0 = -a - 2*s. Solve -3*u + a*j = 10, 4*u + 4*j - 3 - 21 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.062875963 to three decimal places.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 4*o - 3*j - 565, 3*o + 3*j = 396. Suppose 3*x - 21 = -2*p, p + 2*x - 8 = -2*x. Calculate the greatest common divisor of p and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndwh when four letters picked without replacement from {h: 5, w: 1, d: 2, n: 1, x: 5, a: 2}?\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 0 + 3 + 4. Suppose 0 = 4*j - 5*p - 36, 0 - 12 = -g*p. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*g - 371, g + 126 = -z + 2*g. Suppose t - 7 = 2*w, 2*t = -w + 4*w + 10. What is the smallest common multiple of 2 and t\/1 - z\/5?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.357 - -0.457. Which is the closest to -0.11? (a) p (b) -1 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 6. Calculate the least common multiple of 2 + -2 - (-1 - g) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*r - 7. Suppose -16 = -r*w + 12. Solve 0 = -w*q + 8 + 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-55*a - 11*a + 1311 - 1325)*(0 + 0 + 2*a).\nAnswer: -264*a**2 - 56*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001574434295 rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -119*t**4\/6 - 144*t. Let r(c) = -c**2. Calculate r(v(l)).\nAnswer: -56644*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.4746 plus 20.3?\nAnswer: 47.7746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -58.5. Let m = o - -13. Which is the nearest to -1? (a) 0.02 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38089\/154 + 1752\/7. What is the common denominator of (-5)\/(-30)*(-498)\/10 and w?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9424, -18850, -28276, -37702, -47128, -56554?\nAnswer: -65980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*j + 44*j - 9702 = 161*j for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2121183 and 4949427?\nAnswer: 14848281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 4?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*i**2 - 132*i**2 - 2 - 1117*i**2.\nAnswer: -1022*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**3 + l**2 - l - 1. Suppose 0 = 9*a - 7*a + 8. Let n = 11 + a. Suppose n - 4 = -3*h. Give r(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 9:24 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1408577114?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -183.28 - -183.18. Which is the nearest to -2\/7? (a) -0.7 (b) -1\/3 (c) g (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54784129 to the power of 1\/3, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 43 - 2. What is the third derivative of 15*f - b*f - 4*f**4 + 4*f**2 wrt f?\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 261 - 251. Solve g = v + 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-3*sqrt(28) - sqrt(7)))*-3 + -5*(1*sqrt(1008) + 0))**2.\nAnswer: 468*sqrt(7) + 10683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 44*b + 72. Let c be y(8). Suppose -3448 + c = -12*p. What is the highest common factor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1997061, 1997060, 1997059, 1997058, 1997057, 1997056?\nAnswer: 1997055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 2*q = -12, 56*q = u + 57*q - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**5 - 1212*w**4 + 121188*w**3 + 248466*w**2 - 121191*w - 247254 = 0. Calculate w.\nAnswer: -2, -1, 1, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 6:17 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.255 - 50.\nAnswer: -50.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**3 + q**3 + 2*q**3)*(4 - q - 4) + (-10*q**3 + 53*q - 53*q)*(8*q + 0*q - 2*q).\nAnswer: -58*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 4:02 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -153, -169, -187?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3041 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83873125.\nAnswer: 5, 7, 19, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 124, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 1 - ((-6)\/9 + 18558\/3294).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/4 of a micrometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -2 - (-81 + 79) - -14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 3*r**2 - r + 375. Let f be h(0). What is the highest common divisor of f and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -2*m**5\/5 - m**4\/3 - 14*m. What is the third derivative of p(z) wrt z?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 0.01553025.\nAnswer: 0.10871175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, e: 10, t: 1, m: 1, k: 1, x: 3}. Give prob of picking 2 e, 1 k, and 1 t.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1241 divided by 1.\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -995 + 1024. Suppose k*u + m + 4 = 25*u, -20 = 5*u + 5*m. Factor -1\/8*l + u - 3\/4*l**3 - 1\/8*l**5 + 1\/2*l**4 + 1\/2*l**2.\nAnswer: -l*(l - 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6 (b) 0.5 (c) 4 (d) -98 (e) -8\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/84 and (-16)\/(-55104)*37 + 2\/(-14).\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 916594*h**2 + 925683*h**2 - 2.\nAnswer: 9089*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 476 divide 35533876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**4\/24 + 5*u**3\/6 + 3*u**2 + 3. Let f(i) = -1. Determine 2*f(n) + o(n).\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(128)*1)\/sqrt(8))\/(sqrt(56)\/(sqrt(14)\/sqrt(2))) + (1*sqrt(200) + 4 - sqrt(200))*6)**2.\nAnswer: 48*sqrt(2) + 578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019319986 rounded to seven decimal places?\nAnswer: -0.0000193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -q + 9. Suppose -3*w - l = -2*w - 102, 3*w = 3*l + 330. Suppose 0 = 3*t - w - 14. What is the remainder when t is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*c**3 + 4*c**4 - 845*c**2 - 2*c**4 - 1 + 847*c**2 to p*c**4 + t*c + j*c**2 + k + a*c**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*s + 207 = 615 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 4*n - 27, -9*a + 11*n - 12 = -10*a for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 180 + -176. Let p = 1 + -1. What is the smallest value in p, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = 2*t - t, 0 = 2*t - 3*l + 2. Suppose 4*p + a + 1 = -4, -t*a - 25 = 0. Let k = p + 9. Calculate the lowest common multiple of k and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 y when three letters picked without replacement from {y: 16, b: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3672350 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11309351.0000022 - -11309350. Let v = 1 + z. What is v rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64095086009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4401 - 0?\nAnswer: 4401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 377, 0.1, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -1, -0.0195, 0.4, -0.2, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, z: 3, m: 3}. What is prob of sequence mzl?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9469, -37926, -85371, -151804, -237225, -341634, -465031?\nAnswer: -607416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -10, -3*k + 0*g + 193 = -2*g. Let b = 48 - 23. Suppose -k = -4*h + b. What is the smallest common multiple of h and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f. Let p be -2 + 0 + -1 + 2. Let n(m) = -m - 4. Let i(k) = 1. Let l(s) = p*n(s) - 4*i(s). Give u(l(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15*(0 + (-1393)\/(-21))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19612\/8*-2 - -3. What is l rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 - 12*k - 34. Let u be a(-3). Determine h, given that 18*h**2 + 48 + 79*h + 2*h**3 + u*h - 185*h = 0.\nAnswer: -12, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -8 + 369*h**2 - 9*h + 0*h - 8 - 6*h. Let f be t(-1). What is the greatest common factor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msstozmz. What is prob of picking 1 s and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 247681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 124*a + 446*a + 208*a.\nAnswer: 530*a - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-454 - -459)\/((-20)\/(-38)) - 5\/(-2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597666 is divided by 11275.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 8*n + 1978 = 0. Let p = n + 3538. Let r = 6410 - p. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*c - 1211 = 289*c - 4556 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18287\/35 or 523?\nAnswer: 18287\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 11:45 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83 or -359?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h. Let g be -2 + (1 + -1)\/2. Let k be 6\/(-4)*g + -1. Let f(z) = k*z**2 + 4 - 4. What is o(f(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2050059 litres?\nAnswer: 205.0059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 2. Let h = m - -25. Suppose -6*b + 2*l + 45 = -b, b - h = 2*l. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 less than or equal to 109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -185627*h. Let v(l) = l. Calculate v(n(o)).\nAnswer: -185627*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 126937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16\/25 (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 74900 divided by 5350\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 110 + 98 = 0. Calculate the remainder when 177 is divided by k.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r**4\/5 - 256*r**3\/5 + 170*r**2 + 312*r\/5 = 0. What is r?\nAnswer: -1\/3, 0, 4, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 7435 + 929. Calculate the greatest common divisor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**4 + 4*b**4 - 4*b**4 + (-5*b - b + 2*b)*(2*b**3 - 4*b**3 + 4*b**3) to the form t*b**3 + n*b**2 + v + i*b + d*b**4 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2094419.\nAnswer: 317, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 4, 58, 2\/3, -0.1?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2. Let f = -152 + 95. Let c be (2*(-3)\/(-2))\/(f\/(-76)). Let i(l) = c*l + l**2 + 0*l - 4*l. Calculate i(q(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.056 - 0.079. Round v to three decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 5014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 2:20 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1778, 1876, 2032, 2234, 2470, 2728, 2996?\nAnswer: 3262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.8642 rounded to one decimal place?\nAnswer: 11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/(10*(-31)\/2790)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, o: 1, v: 3, w: 1, d: 2, f: 3}. What is prob of sequence vwv?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24 - b?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*o**4\/9 + 13527*o**3 + 81183*o**2 + 121785*o.\nAnswer: -o*(o + 3)**2*(7*o - 121785)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 746 + -745.8732. Let l = s + -0.101. Round l to 3 dps.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1315cbb (base 15) in base 3?\nAnswer: -221212000112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 546 and 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 2749*t**2\/2 - 3*t - 2. Let v be u(6). Suppose -b + 33509 = -v. Round b to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1 - a + 0*a + 0*a. Let c(x) = -3*x + 3. Suppose 7*d + u + 6 = 2*d, 0 = 3*d - u + 2. What is d*c(n) + 2*l(n)?\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17577749?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -17356.5 * 3\nAnswer: -52069.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*t**4 - t**3 - 5231*t**2 + 20594*t wrt t.\nAnswer: 36*t**2 - 6*t - 10462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**5 - 18*c**5 + 10*c**5)*(0 + 3 + 0) + 1 - c**2 - c**5 + 4 + 0*c**5.\nAnswer: -4*c**5 - c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 0*x**3 - 130*x + 126*x + x**3 - 7*x**2 - 14. Let t be k(8). Solve 3*a - t = a + 5*c, 0 = c + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 16*t - 1. Let m be p(-2). Let h be (-2)\/(0 - (-6)\/m). Let x = h + 4. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -18. Let k be 4\/20 - (-14)\/5. Suppose c*p - 103 + 9 = -3*x, -k*x = p - 86. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.231 and -17.4.\nAnswer: -17.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*p)*(-p**2 + 0*p**2 - p**2 + (1 + 3 - 2)*(4*p**2 + p**2 - 3*p**2) + 4*p**2 + 0*p**2 - 3*p**2 + 3*p**2 + p**2 - p**2).\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -133 - -137. What is the derivative of -38 + 6*n - n**c - 29 + 16 wrt n?\nAnswer: -4*n**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/109, 2\/3, 14, -11 in decreasing order.\nAnswer: 14, 2\/3, -1\/109, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 4*u + 4. Let i be x(6). Let z = 2 + 3. Solve -i = -3*m + 4*o, o + 24 = z*m - 3*o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 55*i + 228, -2*x + 2*x + 453*i = 449*i - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*(-19)\/(-133)*98\/77.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.576 + -5.299. Let d = -0.077 + h. What is d rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 12?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1273*o + 1272*o + 4 - 4.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2)*((-620)\/(-15))\/1. What is the greatest common divisor of i and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 15) to base 3.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - (12 - (20 - 32)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8640 and 113024?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 8*v + 16. Let x be j(9). Let w(l) = 279*l - 278*l - 11 + 7. What is w(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 9:55 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 157 + -135 - (8 - 1) - (28 + -3) - 91\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + (-3)\/2)*(2 - 4). Suppose -w*n - 4*b - 2 = 13, 2*b + 15 = 5*n. Solve -4 = -z - n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 + 2 + -3833 + 3872.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 + (-82)\/(-24) + (3549\/(-52))\/39)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 28. Is f(-13) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h = 2. Suppose -3*t + 13 = f + h*t, -2*t + 88 = 5*f. Solve -4*s - 4 + 11 = -y, -3*s = -5*y - f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 14*p**2 + 13*p + 8. Let w be v(-13). Let t be (2 - 3)\/(1\/(-10)). Is w at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a factor of 193235760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 154866317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -431.5 + 428.5. Let g = 136 - 121. Which is the biggest value? (a) g (b) 1\/6 (c) -2\/3 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195911 and 409?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -136*b**6\/15 - b**5\/20 - 13*b**4\/4 - 17*b**3\/6 - 1813*b. What is the third derivative of h(m) wrt m?\nAnswer: -6528*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1205784 and 87120.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 11*c + 1. Let z be t(-1). Suppose -3*j + 2 = -4*j. Let g be j\/(-3) - z\/3. Solve r + 1 = -g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24811 * 0.57\nAnswer: 14142.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37697 and 24035?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 3\/14 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5\/4, 1.1, 4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*i + i + 7359, 0 = d + 4*i - 2453. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**2 - 59312*k - 59316 = 0 for k.\nAnswer: -1, 14829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 159 = 5*k, -5*k - 2*v + 166 - 13 = 0. What is the remainder when (2 - 2\/2)*k is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267 - s + 92 + 89 + 86.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = z - 4*f, 3*z - 5*f - 506 = -464. Let n(a) be the third derivative of 2\/15*a**5 + 23*a**2 + 0*a - a**3 - 3\/8*a**z + 0 + 1\/120*a**6. Give n(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12723887 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 2:54 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29 and 23941?\nAnswer: 694289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 90241 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(91) + sqrt(91)*-2 + sqrt(91)))\/(sqrt(112) - (2*sqrt(112) + sqrt(112) - sqrt(112))) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 16*z**2 + 83*z - 1704. Calculate i(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 217555952 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -15. Suppose -3*o + f = -28. Let c be (2\/(-7))\/(o\/28). Is -2\/3 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20930*2\nAnswer: 41860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4994, -38162, -128188, -303500, -592526, -1023694, -1625432, -2426168?\n\"Answer: -4738*h**3 - h**2 + h - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/3 - m**2 + 2*m\/3.\nAnswer: m*(m - 1)**2*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2 + 1716*b + 736164 = 0. Calculate b.\nAnswer: -858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11362442141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 54294641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 + 66. Suppose j*w + 2*l = 258, -4*l = -5*w + l + 605. Suppose -r - 46 + w = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c. Let y(g) = -15*g**2 - 6*g. Calculate -4*u(d) - y(d).\nAnswer: 15*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1383126681, -2766253363, -4149380045, -5532506727?\nAnswer: -6915633409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z + 1. Let f(u) = u. Let l(c) = 5*f(c) + p(c). Let b be l(-4). Suppose -4*r + 3 + b = 0. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -745 or -767?\nAnswer: -767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.8 + 14. Let w = i + 0.78. Let d = -5.334 - -5.634. Which is the smallest value? (a) 5 (b) w (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -6. Let g be 5*1*4\/5. Let c = g - o. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**7\/210 + s**6\/60 - s**4\/12 + s**3\/6 + 3*s**2\/2 - 6. Let v(x) be the second derivative of h(x). Factor v(u).\nAnswer: -(u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 b when four letters picked without replacement from {b: 4, a: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2022*q - 8088. Let r be j(4). Is 6\/3529 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5358.2 - -0.4.\nAnswer: 5358.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 11 - 1 = 0. Does 7 divide (-2)\/(r\/((-63)\/(-2)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 18. Let m = -15 + w. Let i = 0.44 - 0.04. Put i, 1, m in decreasing order.\nAnswer: m, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 + 58 + (0 + 4 - (3 - 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4\/7)\/d**(-32) assuming d is positive.\nAnswer: d**(220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -784*w**2 - 527*w wrt w.\nAnswer: -1568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*l + 601. Let q be 1\/(9\/(-69))*-114. Suppose 2*h + q + l = 5*n, 2*n - 566 = -4*h. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h + 46*h - 594 = -14 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 110 = -8*h. Let z be 0 - 1 - -7 - ((9 - 14) + 9). Let p(d) = -7*d**3 - 11*d**2 + 11. Let k(s) = s**3 + s**2 - 1. Calculate h*k(u) + z*p(u).\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 - ((0 - -7) + -1 + (14 - 16))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -2 (c) -2\/27 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489947 is divided by 3190.\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23\/20 + -9\/340. Suppose 308 = 18*p + 74. Suppose p*w - 2 = 15*w. Which is greater: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 6*i**2 + 4*i - 5. Let m be q(-5). Suppose -5*o + 10 = 2*x, 5*o = -8*x + 5*x + 5. Solve m = -4*l - o*j, 0 = -l - 0*j + 4*j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1540, -0.1, 1\/14, 4 in increasing order.\nAnswer: -0.1, 1\/14, 4, 1540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 2*x**2 - 4*x - 2. Is v(-2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24*b*u**2 + 30*b*u - 6028892*b - 983*u**2 wrt u.\nAnswer: 48*b*u + 30*b - 1966*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 25, -4*w = 2*f - f - 19. Suppose -4*l - i + 2*i = 28, 3*l + 21 = 5*i. What is the tens digit of (108\/42)\/(f\/l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -569*u + 2. Let y be q(-2). Round y to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 1 - (-52 - -49).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -16 (b) -74 (c) 0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737537874.\nAnswer: 2, 3, 122922979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 31. Let y(p) = 6*p. Calculate y(k(q)).\nAnswer: -6*q - 186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 7*s**4\/3 + s**3 - 8*s**2 + 31*s. What is the hundreds digit of w(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662188013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.4 + 365.4. Let y = -360.57 + k. Let q = y - 0.43. What is the fourth smallest value in 4, 3, q, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4464546 (base 7) to base 6\nAnswer: 15512133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 11*u + 5385. List the prime factors of u.\nAnswer: 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjjjjjjyyjjjj. Give prob of picking 4 j.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-12))\/(11\/(44\/(-3)))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228 by -11.\nAnswer: 228\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 + 1124*v - 164649.\nAnswer: (v - 142)*(v + 4638)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-21)\/(630\/20).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*o**4 + 975352*o**3 + 1388*o**2 - 4*o**4 - 1876*o**5 - 975352*o**3 wrt o.\nAnswer: -112560*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/sqrt(125) - sqrt(56))\/(sqrt(128) + (sqrt(128) - 2*sqrt(128)) + sqrt(128)).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3772655 (base 9) to base 3\nAnswer: 10212102201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 176141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 2*t**3 - t - 5 + 6*t**2 + 8*t + 0*t**3. Calculate u(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-33)*((-20)\/60)\/((-2)\/(-15)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 82, -0.1, 4\/5 in descending order.\nAnswer: 82, 35, 4\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - a**2 + 9*a - 3. Let k(w) = 4*w**3 - 2*w - 2. Let d be k(-1). Does 29 divide l(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**3 - 56805399*s**2 - 175593716*s.\nAnswer: 18*s - 113610798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*o - o = -4, -3*k + 12 = 2*o. Suppose 8*u - 24 = k*u. Let s = 0.97 + 0.03. Which is greater: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**2*s**3*w - 7*m**2*s**3 - m**2*s*w**2 - 5*m*s**3 - 11*m*s*w - 5*s**2*w**2 wrt m.\nAnswer: -6*s**3*w - 14*s**3 - 2*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.99 + -0.89. Put h, -3, 4 in descending order.\nAnswer: 4, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437463.\nAnswer: 3, 13, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/10)\/((-40)\/(-12))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**2 + 8*x - 3. What is s(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -716470 or -716469?\nAnswer: -716469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - -3*sqrt(132))*6)\/(6*sqrt(108)\/sqrt(9) - sqrt(12)).\nAnswer: 24*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 703*j**2 - 178*j**3 - 183*j**3 + 3*j**5 + 5*j**4 - 178*j**3 + 539*j**3 wrt j?\nAnswer: 180*j**2 + 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**2 + 5*q - 2. Let p be 5*(27\/(-15) - -1). Let u(f) = -2*f**2 + 3*f - 1. Give p*x(r) + 7*u(r).\nAnswer: 2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -290*c**2 + 387*c**4 - 439*c**4 - 226*c**4 wrt c?\nAnswer: -6672*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4077.1 + 4077. Let d = -7 + 6.9. Which is the closest to g? (a) d (b) 8 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/10? (a) 0.093 (b) 1\/4 (c) 1 (d) -0.27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 2132 = -0*l + 17*l. What are the prime factors of l?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 93, -209, -1205, -3189, -6455, -11297?\n\"Answer: -49*g**3 - 53*g**2 + 200*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - o - 21 = -6*r + 11*r, 0 = -3*r - 3 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 7:32 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + z - 4*z + 2*z - z + z + (-3 + 3 - z)*(1 + 2 - 2) + (3*z + 0*z - z)*(130 - 47 + 220).\nAnswer: 605*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*d + 50*d - l + 12302, 2467 = d - 2*l. Calculate the remainder when d is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/(-180))\/((3\/(-15))\/(87\/(-145)))\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**3\/15 - 78506*g**2\/15 - 78508*g\/15 = 0.\nAnswer: -1, 0, 39254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8109.22cm to micrometers.\nAnswer: 81092200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.1. Let o = -16992 + 16988. Which is the nearest to 0? (a) t (b) 0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 491065000 to the nearest 1000000.\nAnswer: 491000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -2*r - 69. Solve -r*w = -3*w - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11860188?\nAnswer: 2, 3, 29, 173, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-2120)\/(-2132) - 1). Let a = -219 - i. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -560*s + 38298. Give m(69).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001137077 rounded to six dps?\nAnswer: -0.001137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067 > -6\/347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 78.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u. Let c be d(1). Let b(q) be the first derivative of -1\/5*q**c + 0*q - 5\/3*q**3 + 3 - q**2 - q**4. Factor b(s).\nAnswer: -s*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000568464154 rounded to seven decimal places?\nAnswer: 0.0000568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4284 = 215*r + 91*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 875199747 - -0.153.\nAnswer: 875199747.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i - 72. Let o be n(-30). Let d = 71 + -48. Let s = d + o. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 31*s**2 + 147*s - 434. Give v(26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 112417846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, h: 2, z: 1, c: 1}. Give prob of sequence hah.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2\/8 + 421683*a\/4 + 17712009\/8 = 0.\nAnswer: -21, 281143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 113488 from -0.2.\nAnswer: -113488.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3481.35kg to nanograms.\nAnswer: 3481350000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**4\/7 - 124*b**3 + 1848*b**2 = 0?\nAnswer: -231, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -181, -301, -405, -487, -541, -561, -541?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2532*y + 111133 = -10904*y - 525139 for y.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 4*s + 9. Let u be r(-5). Suppose 5*v - 4*w = u, 2*v - w = 2*w - 4. Find the second derivative of 31*a**4 - 4*a**4 + 0*a**v - 19*a wrt a.\nAnswer: 324*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108532?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 44 = 4*f, -3*r = 2*r - 2*f - 62. Suppose -54*s = -r*s - 418614. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/20? (a) -4 (b) 4\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 34*k**2\/7 - 22264*k\/7 - 3930\/7 = 0.\nAnswer: -3\/17, 655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x = -1. Let h = x + 3. Solve -h*i - 8 = 2*i - 2*z, -4*z - 20 = 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d. Let a(r) = r + 2210104. What is y(a(t))?\nAnswer: 6*t + 13260624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 1 + 11. Let d be ((-5 + 4)*j)\/(6\/(-9)). Suppose a + 2*p = -9 + 3, -3 = -d*a + p. Solve -4*i - 4*b - 3 - 13 = a, 24 = -5*i - b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.600557 to three decimal places.\nAnswer: -0.601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -36*o - 4. Let a(q) be the third derivative of -35*q**4\/24 - 5*q**3\/6 + 2546*q**2. Calculate -4*a(p) + 5*k(p).\nAnswer: -40*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1177 + 2345 = -13*r + 1246. Solve -3*z + 0*s + r = -3*s, -4*z - 27 = 3*s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -4, -3\/151, 5, 3\/2?\nAnswer: -3\/151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -178.9926 and 16.\nAnswer: -2863.8816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -12, w + 4*t + 20 = 3*w. Suppose 5*k - w*a - 3*a = -5, k - 1 = 3*a. What is the units digit of 2 - (0\/1 + k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 53?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 20 + 13 = 0. Let f(q) = q**3 - 10*q**2 + 9. Let s(g) = 2*g**3 - 19*g**2 - g + 17. Let o(j) = 5*f(j) - 3*s(j). Does 5 divide o(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23651, -46926, -70201, -93476, -116751, -140026?\n\"Answer: -23275*n - 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 2\/3*n**3 + 1\/21*n**7 - 1\/3*n**6 + 0*n**2 + 0 + 9\/10*n**5 - 7*n - 7\/6*n**4. Factor r(u).\nAnswer: 2*u*(u - 2)*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -15 - (-13 + 19)) + 5 + 156?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f*w**3 + 5*f*w + 2*f - 229*w**5 - 3*w**2 + 7 wrt w?\nAnswer: -18*f - 13740*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 631569 and 24.\nAnswer: 5052552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.38354511 rounded to two dps?\nAnswer: -7.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 29692 = -4*l + 34784, 4*l = -4*q + 64472. What is the thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**5\/7 - 137332*t**4\/7 - 337980672*t**3 - 40942153728*t**2 = 0.\nAnswer: -34272, -122, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/10 - (-34)\/4. Let o(a) = a**2 - 7*a - 12. Let k be o(f). What are the prime factors of (8\/k)\/(10\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 22, 0.4, -0.2, 2\/11, 3948 in increasing order.\nAnswer: -0.2, 0, 2\/11, 0.4, 22, 3948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/28, -2\/5, -0.83, -1\/4?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*i - 3 + 3)*(i**2 + 4*i**2 - 3*i**2) - 2*i**3 + 3*i**3 + 0*i**3 + (-52*i + 7*i + 25*i)*(-2 - 2*i**2 + 2).\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -22*r + 9510. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**2 + 506896*z + 8110848 = 0.\nAnswer: -16, 253464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34573 = -832*p - 818*p + 75219 + 70058 for p.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -56. Let l(k) = -9*k**2 - 3 - o*k + 8*k**2 + 6*k - 1. What is l(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 677.4707 days?\nAnswer: 58533468480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -4\/3*k**3 - 19\/2*k**2 + 0*k + 21. Find the second derivative of q(t) wrt t.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12787 is divided by 147.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95*a*h**3*i**2 - 2*a*h**2*i**2 + 45*a*h**2 + 368*a*h + 2*a - 89*i**2 wrt h?\nAnswer: 570*a*h*i**2 - 4*a*i**2 + 90*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-78)*((-543750)\/(-25))\/58?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 20 = 2. Let n be 2 - (-3 + k - -3). Suppose 152 = n*y - 38. What is the highest common divisor of 266 and y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 - (-672)\/35 - (-4)\/(-20). Solve -y*z - 2996 = -3007 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103 - 103. Suppose m - 307 - 162 = f. List the prime factors of m.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 176 + -110. Calculate the remainder when a is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -4, 1\/73, 0, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1\/52, -0.1, -2\/13, 915?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.9892 rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 93 in 0.41, -1.1, 2, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 5*d - 22, -34 = 604827*n - 604828*n - 5*d for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 7*h + h. Let j(x) = -19*x**3 + 2*x + 1. What is j(h)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -346.003 and -2.4874.\nAnswer: -348.4904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -24, -1\/3, 0.5, -9\/4, -30.\nAnswer: -30, -24, -5, -9\/4, -1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -183 divided by -3\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 156 divided by -57\nAnswer: -52\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*l**2*w + 4988*h*l**2 - 78*h*l + 2*h*w - 2*l*w wrt l?\nAnswer: -4*h*w + 9976*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -147 + 150. Determine b, given that 3\/2*b**2 + 0 - b - 1\/2*b**4 + 0*b**c = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10211012 - 1?\nAnswer: -10211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-127)\/(-2) - 10\/20. Suppose -d = -5*n + 2*n. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3.6. Which is the third biggest value? (a) -9 (b) 0 (c) j (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, t: 3, a: 3}. Give prob of picking 3 a and 1 t.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2517*c**2*g + 330*c**2 - c + 5 wrt g.\nAnswer: 2517*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16022, 16050, 16140, 16280, 16458, 16662, 16880?\nAnswer: 17100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -71300 divided by -20?\nAnswer: 3565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 = -5*a + 97. Let v = a + -78. Calculate the common denominator of 55\/16 and -1 + 2 - (v + 20\/3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13227 + -8936. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*g - 9*g + 31, 5*o = -10. Solve 3*l + m - 2 = 0, g*l + 4 = m + m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-72) + (-15822)\/(-16). Let s = i + -576. Is s a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5143483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 10\/5) + 40. Let z = 17 + c. What is the remainder when z is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 21*g**2 + 32. Let v be (-237)\/(-12) + 15\/60. Is u(v) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence it when two letters picked without replacement from {i: 3, t: 13, m: 4}?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 3490.\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**2 + 78*z - 4. Give x(21).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fiiffpif. Give prob of sequence fipf.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*a**3*p**3 - 2*a**3*p + 2*a**2*p**3*w + 15*a**2*p*w + 2*p**3*w - 4*p**2*w wrt p.\nAnswer: 30*a**3 + 12*a**2*w + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j - j**4 - 6*j + (-j**3 + 6*j**3 - 2*j**3)*(-4 + 2*j + 4).\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1044*r**3 - 656*r**2 + 5*r?\nAnswer: 6264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97641, 97650, 97661, 97674, 97689, 97706, 97725?\nAnswer: 97746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00043 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -53. Let r(c) = 5*c + 1. Let x be r(0). Calculate the remainder when (-420)\/(4 - 10) - x is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -5. Suppose -2*s - 1090 = v, -v + b*s + 3290 = -4*v. What is v rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*f + 588*f - 286*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2007951 = -5*k + 156284. Let u = -1203847 + k. Round u to the nearest ten thousand.\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 3 + 7. Sort -40, n, -3 in descending order.\nAnswer: n, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535190444 to the power of 1\/3, to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*p - 288 = 66*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 plus -194518554?\nAnswer: -194518541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174111, -174635, -175155, -175671, -176183, -176691?\nAnswer: -177195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, x: 2, k: 1, f: 2}. Give prob of sequence xkf.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(20) + sqrt(5)) - (sqrt(119) + sqrt(119)*1 + sqrt(119))\/sqrt(7).\nAnswer: -8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2426 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 divided by 2014131?\nAnswer: 113\/2014131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362175810*l - 362175810*l + 3*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/3, -5, -0.026066, 4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3487 and -0.004.\nAnswer: -3487.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 22*f + 502. Calculate y(36).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 952109 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1467 is divided by 733.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**3 + 5*b**2 - 5*b. Let v = 0 + -5. Let s(g) = g**3 - 11*g**2 - 4*g. Let c(x) = 3*x**2 + 2*x. Let z(w) = -3*c(w) - s(w). Give v*z(j) + 2*u(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 23*q**2 + 95*q + 142. Give d(-17).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - 7*r + 9*r)*(0 + 4 - 2) - 4*r + r + 2*r to the form f*r + y and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34079 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2829 or -314134\/111?\nAnswer: -314134\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t**3*w**2 + 95*t**3*w - 2*t**3 + t**2*w + 3*t + 7770 with respect to w.\nAnswer: -2*t**3*w + 95*t**3 + t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -72*b**3 - 409. Let f(v) = 142*v**3 + 819. Let y(t) = 2*f(t) + 5*r(t). Differentiate y(j) wrt j.\nAnswer: -228*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104632?\nAnswer: 2, 11, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 633441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13199\/23 - 574. Let w = -93\/184 - c. Find the common denominator of w and -111\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 1.24?\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 296917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 9*x + 6. Let l be c(7). Suppose -y - 3*z = -10, -2*y + y + l = 5*z. Let p be 0\/((-3)\/15*y). Solve 4*a - 12 = p, 0 = 3*i - i + a - 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78598.\nAnswer: 2, 13, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -2*v**2 - 2*v - 17\/3*v**3 - 4\/3*v**4 - 7. Factor z(s).\nAnswer: -2*(s + 2)*(8*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -4. Let b be 7 - (-3)\/(-3*v). Suppose 0 = -z + 4 + b. Solve 2*h - z = -2*a, 5*h - 5 + 0 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f - 6*f - 13*f - 2*f**2 - 7*f - 7*f as h*f + m*f**2 + n and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516*n**5 - 35588*n**4 + 532440*n**3 + 16544*n**2 = 0. Calculate n.\nAnswer: -4\/129, 0, 22, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30, 52, 72, 84, 82, 60, 12?\n\"Answer: -t**3 + 5*t**2 + 14*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 + 5)*(-6*k + 0*k + 4*k)*(1 - 4 - 1) as h*k + f and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 32596?\nAnswer: 65192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 475020*m + 18803666700.\nAnswer: 3*(m - 79170)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqkqpqqhtq. What is prob of sequence khp?\nAnswer: 1\/720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**4 + 2*j**3 - 2589*j + 29484 wrt j.\nAnswer: 8*j**3 + 6*j**2 - 2589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 8. Suppose 2*h = -c + 5*h - 6, -g = c - 5*h. Suppose 0*a + a - 5 = 0. Solve -b - 2*v = c*b - 24, a*b = 5*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559*g = 564*g + 90. Is 37 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3402076 by 3.\nAnswer: -3402076\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 918414 and 1176.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5*a + 103 + 14 = -18, -v = 2*a + 12 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10275?\nAnswer: 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -185767\/70 + 5309\/2. Find the common denominator of z and (-3)\/2 - ((-6)\/(-4))\/((-1575)\/3696).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 6521 (base 8) to base 12\nAnswer: 1b81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.251 - -3.751. Let w = 0.01 - 0.01. Put w, d, -5 in increasing order.\nAnswer: -5, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 8*l**2 + 6*l - 3. Calculate v(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 201 - 177 = 0. Let q(s) = s**2 - 14*s + 30. What is q(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84633*r**5 - 1525016*r + 5 wrt r.\nAnswer: -1692660*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 1. Let o(l) be the second derivative of -l**2\/2 - 4*l. Let y(r) = 5*o(r) + 5*z(r). Let k(x) = x. What is y(k(t))?\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73840.51l?\nAnswer: 73840510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 + -11 - (-19 + 20)) + -81.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.02979 - 10.2\nAnswer: -10.22979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/6 and 87\/224.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 30\/(-16)) + 3747\/24. Let u = 158 - r. Solve -3 = 4*s - 3*s, -u*d = -s - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 859\nAnswer: -1\/859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -926*y**4 - 4298 wrt y?\nAnswer: -3704*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -2. Let y = c - 6. Let x be (30\/4 - 9) + 14\/4. Sort x, 3, y, 2\/7 in descending order.\nAnswer: 3, x, y, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**5\/v)\/v*v))**(-2\/31) assuming v is positive.\nAnswer: v**(8\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -22. Let u(f) = 15*f**2 + f - 1. Let i be u(-3). Suppose n = 4*c - 4*a - 128, -4*a + i = 2*c + c. What is c rounded to zero decimal places?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6852.383 years?\nAnswer: 82228.596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60*h**2 - 39*h**2 + 83*h**2 - 2*h**2 + 4 - 4 + (-3*h + 0*h + h)*(-1 + 2*h + 1) - h**2 + 3*h**2 - 3*h**2.\nAnswer: 97*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 16480787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71663*j = 2*a - 71666*j + 4, 0 = 3*a - 3*j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/4 + 631*x**2\/2 - 180673*x\/4 + 1722516.\nAnswer: -(x - 1104)*(x - 79)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -3\/2, -65, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -p + o, 0 = 3*o - 1 + 16. Suppose 4 = -3*y - 5, p*y = -t - 7. Find v, given that 0*v**t - 120 + 89 + 52*v - 2*v**2 - 307 = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 478 - 474. What is the highest common factor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 10*q - 10. Let g(k) = -2*k + 13. Let s be g(8). Is d(s) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170048036?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 1, -1, 2.\nAnswer: -8, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -196, -45, 4 in decreasing order.\nAnswer: 4, -45, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + -1 + sqrt(243) + sqrt(243) - (-5 + 0 + sqrt(243)))**2 + -1 + 4.\nAnswer: -1461 + 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -773*x + 493507*x**2 - 493505*x**2 + 773*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*o + 4 = -11, -3*i = -789*o + 779*o + 65 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 5. Suppose -k*z + 4 = 14. Let p be 4\/(-10) + z\/(-5). Solve p*x = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 2:11 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15696 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479287.\nAnswer: 479287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 14)*(-2 + 0 + 3)*(2*n + 5*n - 2*n).\nAnswer: -80*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18245*d**4*k**2 + 5491*k**2 with respect to d.\nAnswer: -72980*d**3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -8*w**4 + 7*w**2 + w. Let v(j) = -j**4 + j**2. Suppose -3*s + 84 = s. Let r(o) = s*v(o) - 3*m(o). Find the second derivative of r(n) wrt n.\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 199066, 397936, 596806, 795676?\n\"Answer: 198870*o + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -1.4?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**3 + 483212*p**2*s - 462*p*s + 546*s wrt p?\nAnswer: -12*p + 966424*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1029)\/(-7) + -9 + 2 is divided by 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116 by 2.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 64. Let q be h(0). Which is the third smallest value? (a) 2 (b) 1\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001398859156 to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -0.5, -3, 20428?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -151 (c) -1\/4 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.98543 to 2 decimal places.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 8:55 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -202 - 208?\nAnswer: -40a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7349*f + 161686. Calculate b(22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*r + 43 - 1254 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101010100111101110100 (base 2) in base 13?\nAnswer: 95430b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 1. Let n(j) = j**2 + 3*j + 3. Let a = 3 - 8. Give a*g(h) - 2*n(h).\nAnswer: -2*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 193444000 by -3868880.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 323, 660, 1001, 1340, 1671, 1988, 2285, 2556?\n\"Answer: -s**3 + 8*s**2 + 320*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.89 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 10:58 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/40*0 + 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 115\/4. Let t be 2\/4*0\/2. Suppose -3*y + 5*y = t. Which is greater: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -10*d. Suppose 2*k - 5 = -n, -5*k + 0*n + 12 = 2*n. Suppose -4*i - 35 = -3*m - 13, 5*m = k*i + 18. Let v(r) = 3*r + 2 - r - m. Calculate v(l(u)).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (3 + 1) - (-10 + 2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 50748662 divided by -2\nAnswer: -25374331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26029, 50771, 75513, 100255, 124997?\nAnswer: 149739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 - 4*u**3 + 23*u**2 - 13 + 2*u + 2*u**3 - 4*u**2. Let w be b(8). Suppose -9 = -6*n + 9. Solve 0 = 2*y + n*a - 19, -w*y = y + 4*a - 28 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -7. Let n(u) = 105*u + 26 - 87 + 13 + 1 - 38*u. Is n(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 47*v - 7705. Let k be y(164). Factor -l - 1\/4*l**k + 1\/4*l**4 + 4 - 3*l**2.\nAnswer: (l - 4)*(l - 1)*(l + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 240 + -406. Let k = 239 + v. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59 - 59 - 19*v to b + p*v and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -46, -76, -106, -136, -166?\n\"Answer: -30*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25.922993 and 46569.\nAnswer: 46543.077007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-132))\/(45\/(-132) - 26\/(-286))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180816 plus 1.846?\nAnswer: -180814.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -39271, 0, 4.\nAnswer: -39271, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 8:58 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 + 5*v**2 - 5*v. Let z(k) = -9 - 4*k**2 + 9 - 128*k**3 + 4*k + 126*k**3. Determine -4*i(g) - 5*z(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/160*-350*7\/((-105)\/18)?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one eighths of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15\/8*s**2 + 13\/8*s - 1\/4 = 0. Calculate s.\nAnswer: 1\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3414556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537831*y - 537675*y = -7020 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 306 and 5712.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 83701433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -11*h - 2. Let l = -2 - -1. Let i be b(l). Let z(j) = j**2 - 10*j + 5. Calculate z(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-4)*3*3\/6. Suppose -4*l + 3*z + z = -4732, v*l - 3550 = 4*z. Suppose 3*x - 609 = r, l = -2*r - 5*x + 2*x. Round r to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23585192*z**3 + 11226200*z**2 + 2.\nAnswer: 141511152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*l - 17*l - 1821*l**2 - 202*l**2 - 17*l as t + x*l**2 + y*l and give x.\nAnswer: -2023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 14. Let r = 490 + -502.32. Let g = r + w. What is g rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**(-1)))\/r)\/r)**18*r**3*r*r*(r**(-7)*r)\/r assuming r is positive.\nAnswer: r**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**2 + 4 - 17 + 16 + 10.\nAnswer: 7*v**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(40) + sqrt(200)\/sqrt(5))*-6 - ((2*sqrt(80))\/sqrt(2) - sqrt(40)))\/((sqrt(80) + (-1*sqrt(80) - sqrt(80))*5)\/(-1*sqrt(40))))**2.\nAnswer: 3380\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3886, -32928, -113222, -270862, -531942, -922556, -1468798?\nAnswer: -2196762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8397 a factor of 3700922915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - 0.55. Let a = 1\/21 - -5\/21. Let w = -6\/5 - -13\/15. What is the nearest to 0.1 in w, k, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 5*v + 20, -4*w - 4*v + v - 45 + 20 = -36 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8763.405 meters?\nAnswer: 8763405000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5625 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: Calculate prob of sequence ec when two letters picked without replacement from eoellhc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3555790 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*c + 5 + 168*c - 5.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 11*f**2 - 9*f - 8. Let q be j(10). Suppose q*h + 3*h - 35 = 5*n, 13 = -h - 3*n. Let p be ((-18)\/(-15))\/((-6)\/(-20)). Solve 2*r + h = p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, v: 3}. Give prob of picking 2 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*t - 9*t - 2*t - 19)*(2*t - 3*t + 4*t) to u + z*t**2 + a*t and give a.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45*-41*105\/(-7175).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-9 + 4 - (-9 + (-2 - -8)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3828*t = 4*f + 3823*t + 92, -4*f - t + 4 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 15) in base 4?\nAnswer: -3303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1077408 and 621.\nAnswer: 24780384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -54644 equal to -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 t when three letters picked without replacement from {j: 2, t: 5, n: 6}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-21)\/(-12)*6\/21?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56251542 - 3.2?\nAnswer: 56251538.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15283 is divided by 664?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 - (-3 - (21 - -1)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 9 = -2*i, 7 = -0*i + i + 5*f. Let p be -19 + i*(-3)\/(-2). What is the tens digit of (-322)\/p + (-2)\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/4 and (-9)\/(-36)*-1*41?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1426)\/(161\/(-7))*4\/2*11\/(-22)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 1\/2 (c) 0.6 (d) 10878\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40.361 + 60.142. Round b to 0 decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 divided by 296?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 565.6834 years in decades?\nAnswer: 56.56834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 25*l**2. Let v(i) = -76*i**2. Let b(w) = -8*u(w) - 3*v(w). Let n(a) = -2*a. Determine b(n(y)).\nAnswer: 112*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5106487 to the power of 1\/2, to the nearest integer?\nAnswer: 2260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 11*k**2 - 10*k + 14. Let l be r(10). Let p = -11 + l. Suppose -37 = p*d + 2*j, -2*d - 2*j + 51 = -7*d. Which is smaller: d or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -185542, -185679, -185894, -186187, -186558, -187007, -187534?\n\"Answer: -39*d**2 - 20*d - 185483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1339216 to the nearest 100.\nAnswer: -1339200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puqbipbbuiii. Give prob of sequence ii.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 172832.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 9:34 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 772590806 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 4482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 5.5. What is the closest to 0.2 in 2, o, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6540 - -6539.7. Put -1\/4, -1132, r in descending order.\nAnswer: -1\/4, r, -1132","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106013, 211898, 317783?\nAnswer: 423668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4292304 a multiple of 1338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 358238 and 30817105.\nAnswer: 31175343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - k + 20, 0 = -2*o - 5*k + 4 - 12. Let z = -336 + 2369\/7. Calculate the common denominator of (o\/40)\/(3\/166) and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(418))\/sqrt(11) - sqrt(38))\/(sqrt(128)*1 + sqrt(128)).\nAnswer: -3*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2 + 152*z - 1088 = 0.\nAnswer: 8, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 949846 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (0 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 78.10116g?\nAnswer: 0.07810116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4910, -36940, -123208, -290834, -566938, -978640, -1553060?\n\"Answer: -4520*u**3 + u**2 - 393*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323 + 108420*j**2 + 838092*j**2 + 639 - 316.\nAnswer: 946512*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -37*b - 366. Let g be i(-10). Solve 6*f + 28 - g = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgwlagsll. What is prob of sequence lw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*x**5 + 65*x**5 + 23*x**5 + (2*x**4 - 4*x**4 - x**4)*(-2*x - 3*x + 4*x)*(2 - 4 + 1)*(3 + 2 - 3) + x**5 + 0*x**3 + 0*x**3.\nAnswer: 40*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.1128506971 plus 5?\nAnswer: -2.1128506971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 14*u + 946 = 0. Suppose -6*l = -130 - u. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttr when three letters picked without replacement from {r: 13, t: 6}?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(8228\/(-264)))\/(10\/22)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(-20))\/((-2)\/(-892)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(19) - sqrt(76)))**2 - (sqrt(19) - (2 + 0 + sqrt(19))) - (sqrt(228)\/(sqrt(12) - (-2*sqrt(24) + sqrt(24))\/sqrt(2)))**2.\nAnswer: 1205\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 7*o = -s + 43, 0 = 5*o - 5*s - 165. What is the greatest common divisor of 304 and o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 16. Let m be d(8). Let l(p) = -3*p**3 + 2*p**2 + 4*p + 1. Let t be l(3). Let h be (40\/t)\/((-2)\/5). Solve -2*i + 8 - h = m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1141562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-12)*(-28)\/21\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 7. Let c = 32 + -28. What is the nearest to a in -2\/9, c, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233133?\nAnswer: 3, 77711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {o: 10, g: 4, k: 5}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42235749397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 2)*(-6*u**3 + 0 + 0).\nAnswer: -30*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21164 - 21074. What is the greatest common factor of z and 14820?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12ac63 (base 14) to base 9\nAnswer: 1182120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 0 - 1\/10*x**5 - 102*x - 11*x**3 + 1\/2*x**4 + x**2. What is the second derivative of g(c) wrt c?\nAnswer: -12*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 4*i**2 + 5*i + 6. Suppose 6*d = d. Let o = d - -5. Give l(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -880 - -857. What is the fourth smallest value in 3, 0.4, -2\/15, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 306.4 - -63.6. Let h = b + -369.821. What is h rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2.997 (b) 3 (c) -66 (d) -1\/3 (e) -10 (f) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13588 + 13644. What is the greatest common factor of v and 2198?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5b - 26d?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 1) + (-4 - -9 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15)\/(-60))\/(((-2)\/2)\/1))\/((-951)\/163572)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 12 = 0, -2*a + 4*a - 3*d = 9. Let q(k) be the first derivative of a*k - 10 + 2\/7*k**2 + 0*k**3 - 1\/7*k**4. Factor q(t).\nAnswer: -4*t*(t - 1)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3424804, -3424798, -3424792, -3424786, -3424780, -3424774?\nAnswer: -3424768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (96\/(-18))\/(12\/(-5418)). What is the first derivative of -161*z**4 - 2408*z**3 + o*z**3 - 123 + 16*z**4 wrt z?\nAnswer: -580*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, g: 12}. Give prob of sequence ggh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -2 + (-20)\/(-26). Let x = 11\/65 - r. What is the biggest value in -1, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 760701.\nAnswer: 760706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 165 or 166?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + r - 637 = -236, -r = -1. Let h be (-20)\/(-130) + p\/(-26). Solve -1 + 6 = 5*j - o, -h*j - 17 = -5*o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 124*s**2 - 1249*s - 722. Give w(-113).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17214*h**2 + 2667*h - 1 wrt h.\nAnswer: -34428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-15) + 158\/10. Let b = g + -6. Suppose 11 = 3*r - b. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 935875205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2347674 - 3?\nAnswer: 2347671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2189342430 to the nearest integer?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 253 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 + 176*s**2 - 513*s + 234. Calculate l(85).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(637))**2*-1.\nAnswer: -2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11403955?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y**(12\/11)*y*y)\/y*y))**(1\/4) assuming y is positive.\nAnswer: y**(-17\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12720 divided by 71?\nAnswer: 12720\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5bb057b - -c?\nAnswer: -5bb056c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 31*x + 155 = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**4*m**2 + 6*d**3*y**3 - 321*d**3*y - 76*d**2*m**2*y + d**2*y**3 - 28*d**2*y**2 wrt d?\nAnswer: 48*d*m**2 + 36*y**3 - 1926*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7376201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*l**5 - 555*l**3 + 12*l**2 + l - 414.\nAnswer: -2400*l**2 - 3330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 7*i**2 - 6*i - 2. Let q be m(6). Let c be 0*(-3 + 24\/6). Sort -2\/11, q, c, 4 in increasing order.\nAnswer: q, -2\/11, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-3) - 2)*118. Let l = n - -39. Sort 4, 3\/4, l in ascending order.\nAnswer: l, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -76435, -305763, -687979, -1223083, -1911075, -2751955, -3745723?\n\"Answer: -76444*o**2 + 4*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3392028 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 582.3609 decades to centuries.\nAnswer: 58.23609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - 6*x + 25. Let c be f(9). Let o = c + -36. What are the prime factors of o?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-32)*i)\/(i\/i**(1\/10))*i**(-25)*(i\/(i*i**(3\/17)\/i))\/i assuming i is positive.\nAnswer: i**(1517\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -110111100 (base 3) to base 8\nAnswer: -21624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 - (-4 - 5\/(15\/(-27))) is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 40*b**4 + 9*b + 2*b**2 + 43*b**4 - 2*b**3 - 2*b**2 in the form j*b**2 + m + w*b**3 + v*b**4 + r*b and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 4*n**2 + n + 16. Determine j(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 819977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26730735, 53461470, 80192205, 106922940, 133653675?\nAnswer: 160384410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 209.09592 months?\nAnswer: 0.1742466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2482014?\nAnswer: 2, 3, 179, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -393354, -393348, -393342, -393336, -393330, -393324?\n\"Answer: 6*q - 393360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -903840 divided by 7532?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(95)\/((-1*sqrt(40))\/sqrt(8)))**2.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2636 - -7907\/3. What is the nearest to v in -14, 1\/3, 0, 0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 6*k**3\/7 + 10*k**2 + 44*k\/7 = 0?\nAnswer: -11, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -4*l + 160. Let u = 46 + l. Let t = u - -61. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 1\/10, 3\/4, 2\/19, -3\/2 in descending order.\nAnswer: 5\/3, 3\/4, 2\/19, 1\/10, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162207 divided by 201.\nAnswer: -807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61869709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 + -0.4. Let r = -0.01 - u. Let j = r - -4.6. Which is the nearest to -1\/2? (a) j (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.16976 rounded to one dp?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38981*i**3 + 77940*i**3 - 38965*i**3.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 4*g + 19. Let v be b(-7). Put 4, v, -28 in decreasing order.\nAnswer: 4, v, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 44?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 10499*u + 4. Let y(p) = -52498*p - 22. Calculate 11*h(z) + 2*y(z).\nAnswer: 10493*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -58. Let x(m) = 303*m**3 - 4*m**2 + 3*m + 3. Is x(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1335584 - 1335584 - 82*m + 88*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(7)*6)**2 - (-3 + 3*sqrt(7)).\nAnswer: -3*sqrt(7) + 1011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 8*u - 48 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 1 - 20\/(-5). Suppose 0 = 3*k + g*k - 50. Differentiate -4 + 2 + 3*a + k with respect to a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2842 and 37534.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4389, 7082, 9775, 12468, 15161, 17854?\n\"Answer: 2693*y + 1696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100300 (base 7) to base 14.\nAnswer: -6270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/9 - 34*d**4\/9 + 970*d**3\/3 + 9250*d**2 + 64500*d = 0 for d.\nAnswer: -30, -15, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 - -58. Which is the third biggest value? (a) o (b) 3 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 - 69. Solve 5*q + 9 - 24 = -a, 5*q + 4*a - h = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32951 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in -105, -7, -0.2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d. Let q(w) = -9*w + 3. Let n(z) = -1. Let g(u) = 6*n(u) + q(u). Let t(f) = -44*f - 14. Let p(k) = 14*g(k) - 3*t(k). Give 11*l(i) - 2*p(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -5)*(-3)\/12*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ththll. Give prob of sequence tth.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 5:56 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9221425 to the power of 1\/2, to the nearest integer?\nAnswer: 3037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(12))**2 + 2)*-1.\nAnswer: -15 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2384.2 to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 16*f**2 + 17*f + 27. Let w(q) = q**2 - 22*q + 57. Let a be w(18). Let i be o(a). Is i less than -31\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**3 + p**2 - 3*p. Let f be (12\/(-16))\/((-2)\/(-8)). What is the tens digit of a(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/122792 and -83\/1964672.\nAnswer: 1964672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 83002 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/437 - ((-360)\/(-276))\/15.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.0472225.\nAnswer: 0.1416675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(605))*-2)**2.\nAnswer: -88*sqrt(5) + 2424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a - 5. Let w = -1 + 7. Suppose 10 = -4*n - w. List the prime factors of y(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395*n**2 - 748*n**2 + 379*n**2.\nAnswer: 26*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4364490 and -137\/1902470?\nAnswer: 74196330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941 is divided by 850?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 0 - sqrt(6)\/((sqrt(3) - sqrt(27)) + sqrt(3)))*-6*4)**2.\nAnswer: 139392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 2474112355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 55209 divided by 122?\nAnswer: 55209\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -23*f - 113. Suppose 6*x - x + 4 = 3*w, 3*w + 6 = 3*x. What is the tens digit of k(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 676, 3036, 7066, 12766, 20136, 29176, 39886?\nAnswer: 52266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2820 - 2820. Suppose -4*f = -4*n - 4, 1 = 2*n - 0*f - 5*f. Which is the closest to s? (a) 3 (b) 17 (c) 0.4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1159 + 1158 - 33*v - 2327)*(-5 + 4 - 1).\nAnswer: 66*v + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-7)*(-540)\/(-270))\/((-18)\/14).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*q*y**5 + 31*q + 1899*y**5 + 48*y wrt y.\nAnswer: -60*q*y**3 + 37980*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -476278010960 - -9.\nAnswer: -476278010951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 35*u**3 - 6*u**2 - 8*u - 12. Let d(y) = 71*y**3 - 11*y**2 - 15*y - 22. Calculate -6*d(q) + 11*l(q).\nAnswer: -41*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -490, -1948, -4378, -7780, -12154, -17500, -23818?\n\"Answer: -486*b**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, c: 3, i: 2, x: 3, o: 1, h: 1}. What is prob of sequence xico?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/11, 1, 7.79, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 331252, 331254, 331258, 331264, 331272, 331282, 331294?\n\"Answer: q**2 - q + 331252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*i**3)*(5*i - i - 2*i) + 0*i**4 + 2*i**4 + 4*i**4.\nAnswer: 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -12627.2037 to the nearest ten.\nAnswer: -12630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2330233 (base 4) to base 8\nAnswer: -27457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 - -0.3. Let g = -1.4 - y. Let r = g + 0.3962. What is r rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58002.76 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5474 + 4806. Is d less than -664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 452, 463, 478, 497?\n\"Answer: 2*i**2 + 5*i + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8210309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*y - 243*y**5 - y**3 - 40*y + 21*y - 7*y**2 wrt y.\nAnswer: -14580*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.4 + -6.2. Let c = 4874 + -4875. What is the closest to c in 1, s, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*g + 11 = -3, 1 = -2*f - 5*g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.174252956 - -843960.\nAnswer: 843959.825747044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (2 - 0) - 6\/6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w = 25*w + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 + 8.08. Let w = 1201\/11 + -109. Suppose -692*x - 426 = 588*x - 1493*x. Which is the nearest to y? (a) -4 (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyy when three letters picked without replacement from jjjjjjjjjyjjjjbjjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1578 - 1575. Suppose 2*g + 20 = 12*g. Factor -6\/17*m**w - 4\/17*m**g + 0 - 2\/17*m**4 + 0*m.\nAnswer: -2*m**2*(m + 1)*(m + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/13)*q*q\/(q*q\/(q\/(q*q*q*q*q**(-2\/15)))*q)*(q*(q\/(q\/(q\/(((q**(2\/5)*q)\/q*q)\/q))))\/q)\/q*q**(-4\/3))**(-38) assuming q is positive.\nAnswer: q**(13452\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 22 - ((-1 - -35) + (1426 - 1354))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 + -45. What is the remainder when 77 is divided by n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -330005 (base 6) to base 4\nAnswer: -12221111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703793 is divided by 2322.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18115276577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*s + 179, 5*s = 2*d - 172 - 17. Let w be d\/12 + 2\/(-6). Let h = -7 + w. Is 0 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 746857325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259, -545, -831, -1117, -1403, -1689?\nAnswer: -1975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 535 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5 + 31. Suppose 5*r = r - p. Is r\/2*42\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1826 - 1008 = -218*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6581 divided by 9204?\nAnswer: -6581\/9204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1843 take away 4919875544?\nAnswer: -4919877387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 7*v**2 - 3. Suppose -4*j - 3*s = -27, -5*j + 14*s + 29 = 13*s. Let p(l) = -l**2. Give j*p(b) + d(b).\nAnswer: b**3 + b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 1 - 21. Let k(f) = 2*f**2 - 1. Let r(w) = 3 + 6*w**2 - w + 12 - 19 + w. Let l(v) = o*k(v) - 3*r(v). What is the derivative of l(a) wrt a?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 5. Let m(w) = -2969682*w**2 + 4*w + 3. Let s be m(o). Let y = -20878733 - s. Round y to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(2\/12*-3). Suppose t*f - 8 = 4*f. Suppose 62 - 2 = f*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/15 + 26\/(-195) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13)\/(-2))\/(2\/4). Suppose -g*j - 31 = -174. What is the highest common divisor of j and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3696268 and 1504?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2029.1106 months to millennia.\nAnswer: 0.16909255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5132 + 1304331?\nAnswer: 1313503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2127*o + 4*j + 6 = 2126*o, -3 = 3*j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**2\/2 + 3*b - 1. Let n(f) = -f**3 - 31*f**2 - 59*f - 27. Let v be n(-29). Let x be t(v). Solve -x*s - 16 = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.83612 nanograms to grams.\nAnswer: 0.00000000583612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 7:09 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27\/946 + 35177\/22704. Let q = -138298639\/36 + 3841037. Let r = q - -2347\/4. What is the common denominator of r and z?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 656 + 79610\nAnswer: 80266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -260467075*c - 370219047 wrt c?\nAnswer: -260467075","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -13. Suppose l*w = 5*w - 8. Let n(h) = h + 8*h - w*h. Let b(k) = -k**2. Determine n(b(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13940 and 60920588.\nAnswer: 304602940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4625*d + 2660 = 4765*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 9*a + 10. Let u be b(4). Suppose 4*g - 574 + u = 0. Calculate the greatest common factor of 33 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 0. Let q = -585.9 - -583.9. Sort 0.1, g, q in decreasing order.\nAnswer: 0.1, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77334991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n**3 - 31*n**2 + 6*n. Let j(v) = -3*v**3 + 16*v**2 - 3*v. What is 3*g(b) + 7*j(b)?\nAnswer: -3*b**3 + 19*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*r + 91*r + 1001 = 0 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 3*z - 33 = 0. Suppose 149 = 4*l - l - f, -z*l + 5*f + 145 = 0. Find a, given that 6 - l*a**2 + 27*a**2 + 24*a**2 - 5*a = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -4\/5, -5\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7*v + 330. Let g be i(47). Solve 2*d - f = 6*d + g, -4*d - 3*f = -5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-44)\/55)\/((-2)\/5). Suppose l + i*y - 30 = 0, -3*y + 21 = l - 8. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a millennium in decades?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7670?\nAnswer: 2, 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgis when four letters picked without replacement from {r: 1, s: 3, i: 5, u: 3, g: 3}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 356*v**2 - 341*v - 2545885 wrt v?\nAnswer: 712*v - 341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1. Let p(a) = a - 8. Let t(v) = -p(v) - 5*q(v). Let j be t(9). What is the units digit of (33\/(-6))\/(3\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 6:11 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 297 and 648.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296) + 2*-2*sqrt(1296) - -6*(sqrt(1296) - sqrt(1296)*-1))\/((sqrt(12) - sqrt(120)\/sqrt(10)*-2) + sqrt(4800)).\nAnswer: 54*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898523071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 75 = -5*r, 2*o - 5088 - 5120 + 10268 = -4*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 - 108. Suppose 0 = -n*t + 12 + 2. Suppose -2*f = l - 21, 0 = -0*f + 5*f + l - 45. Which is bigger: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50771\/156 - -1963\/6. Find the common denominator of -73\/276 and s.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-3*sqrt(200) + sqrt(200) + sqrt(200)*1*-6)\/((sqrt(8)*3)\/sqrt(2) - (sqrt(144) + sqrt(144)*1)))**2.\nAnswer: 50\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527921 is divided by 263925.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 + 17*j - 10. Let d be v(-9). What is the nearest to -2\/5 in 2\/11, d, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3039.693 months to years.\nAnswer: 253.30775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -17773*d + 17799*d - 6*d**2 + 840 + 4*d**2 = 0. What is d?\nAnswer: -15, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 8:23 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*h - 3520 = -278*h. Solve -h - 2 = -12*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - 3*i + 5*i)*(-2*i - i**2 + 2*i) - 1114*i**3 - 380*i**3 + 249*i**3 to the form v*i**3 + p*i**2 + h + t*i and give v.\nAnswer: -1246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 12 = -4*y, 0 = 3*i - 0*i - 2*y + 4. Suppose 211 - 45 = 4*t + i*a, t - 3*a - 24 = 0. Suppose 4*b - 155 + t = 0. What are the prime factors of b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 7:32 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8769070 and 32490.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 37, 3829 in ascending order.\nAnswer: 2, 37, 3829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -15 + 5. Let w be (l\/(-18))\/((-3)\/(-18)*-1). Which is the closest to 2\/5? (a) w (b) 1\/6 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02164 rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 11 = -1. Suppose -2*t = 2*t - 12, t = j*l - 507. Suppose -3*u = -5*q + 772, u - l + 874 = 4*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 + 3*t - 9. Let x be w(-3). Suppose -5*b + 4*v - 9*v = -45, v + x = 2*b. Calculate the remainder when 159 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3633.\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 8:25 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/8 of a day?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*h + 170. Suppose 0 = -2*d - 2*i + 266 + 204, -i - 479 = -2*d. Calculate the greatest common divisor of d and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3*n + 93, -4*n - 267 = -5*f - 0*n. Suppose 171 = 5*z + f. Suppose a + 3*a + 5*b = -16, -5*b = -4*a + z. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - b - 6513 = 0, -126*p - 2*b = -123*p - 19519. Calculate the highest common factor of 1415 and p.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f = 8. Let o = -20 - -25. Calculate the smallest common multiple of f and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 612183*h**6 + 831499*h**2?\nAnswer: 73461960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 5:53 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.17 - -7.83. Let v = p - 8.8. Which is the biggest value? (a) v (b) 0.16 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 828212292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -61. Suppose 2*b + 3 = -5*o + 4*o, u = -b + 3*o. Let p(w) = -w**2 - 4*w + 5. Is 5 a factor of p(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 3*w**3 + 0*w**3)*(2*w**2 - 6*w**2 + 3*w**2) + (12*w**3 + 3365*w**2 - 3365*w**2)*(7*w**2 - 5*w**2 + 4*w**2).\nAnswer: 74*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/15)\/((-6)\/(-15)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12065, -12063, -12059, -12053, -12045, -12035?\n\"Answer: t**2 - t - 12065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1500) - 2*sqrt(1500)) + sqrt(1500))\/(sqrt(800)\/sqrt(10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**4 - 5*j**4 + j**4 + (0 + 0 - 2*j**3)*(-j + j - j) + (4*j**3 - 3*j**3 + 0*j**3)*(2*j + 1 - 1) to s + q*j**2 + d*j + n*j**3 + h*j**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 2:49 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a05 - 0?\nAnswer: a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 247705391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 14391, -2 in ascending order.\nAnswer: -2, 3, 14391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3 - 3*v**2 + v + 3 = 0. What is v?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1440 + 1288.2. Let y = -152.0834 - j. Round y to two decimal places.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - s = -2*x + 23, -x + 5*s + 19 = 0. Suppose -x*c + 20 = c. Suppose -t + c = -4*l, -2*l + 0*l = t - 4. Solve t*w - 3*m = m, -5*w - 12 = -m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 4:24 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420655898 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -602698710?\nAnswer: 602698715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 65562 = 34*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2844890804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*g - 1 - 3)*(-g + 3*g - 3*g + (-2 + 1 - 1)*(13 - 11*g - 13)*(0 - 1 + 2)).\nAnswer: 84*g**2 - 42*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 3*q**4\/8 - 3*q**3\/2 + q**2. Let a(h) be the second derivative of -13\/6*h**3 + 22*h + 0 + 13\/2*h**2. What is 5*a(y) + 7*x(y)?\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*f = 2, 2*f + 0*f = 2*t - 8. Solve 1 = 4*u - t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14506 is divided by 549.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3990*c**4 - 2*c**2 - 70*c?\nAnswer: 95760*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -113?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.0271537us?\nAnswer: 27.1537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2)\/f*f)**(-7\/3))**(16\/3) assuming f is positive.\nAnswer: f**(224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13446800 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 479, 544, 609, 674, 739?\n\"Answer: 65*r + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -11 + 28 + 172*l - 565*l. Is n(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g**3 + 61*g**2 - 61*g**2 - g to the form l*g + c + u*g**2 + m*g**3 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 13, 0.\nAnswer: -5, -4, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 235\/4 in 2\/7, 68, -11\/2, -3\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63849080.\nAnswer: 2, 5, 257, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -164, -170, -178, -188?\n\"Answer: -k**2 - 3*k - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 19 + 9. Let o be (-3)\/(3 + 0)*-2. Calculate the remainder when n is divided by (-30)\/(-7) + o\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 575, -0.28, 2\/3, 2\/23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 415903357 and 487.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34.6 - 35.13. What is the third biggest value in 0.3, 0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 31387428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 6*s**2 - 6*s + 7. Suppose -14 = -15*f + 17*f. Let c be w(f). Suppose c = -5*j + 4*v - v + 146, j - 38 = 5*v. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-4 - -20) - (-6 + 1 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22192*j - 227*j**2 + 22192*j + (0*j - 2*j + 0*j)*(16*j - 17*j - 4*j) + j**2 - 3*j**2 + 0*j**2 to the form s*j**2 + d*j + u and give s.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**5\/60 + l**4\/24 + 17*l**3\/3 - 1336*l**2. Calculate h(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + b. Let q(f) = -8*f**3 + 16*f**2 - 16*f. Let y(g) = 69*g + 122. Let h be y(-2). What is h*r(w) - q(w)?\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -5) + 4 + -20.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2769687 by -3.\nAnswer: 923229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1480, -2961, -4444, -5929?\nAnswer: -7416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(405) + sqrt(405) - (1*sqrt(80) - sqrt(80)))**2.\nAnswer: 72*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5270639 and 1139457?\nAnswer: 5203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2144 - 2100. What is the remainder when 45 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3365 and 2019.\nAnswer: 10095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Suppose 0 = -n + 4 + 4. Suppose -4*o = 4*h - n, 3*h = h + 2*o + 12. Solve 0*y = -5*p + 4*y, p - h*y - 16 = c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(6)\/(3*sqrt(2)))**2.\nAnswer: 2*sqrt(3) + 28\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 309*c**2 + 2*c. Let u(f) = 611*f**2 + 5*f. Determine -9*o(v) + 4*u(v).\nAnswer: -337*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.25 - -0.3. Let t = f + -0.35. Let x = 61 + -60.9. What is the second biggest value in t, -1, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -196, 1766, 5876, 12134?\n\"Answer: 1074*o**2 - 1260*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -17*v**2 - 2. Let p(i) = 19 + 4 + 28 - i - 51. What is r(p(z))?\nAnswer: -17*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 - 31*s**2 + 17*s - 31. Let v be o(15). Let l = 1.4 + -1. What is the nearest to 2\/3 in l, 0.8, v?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/70 - 8189844\/(-2730) a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8f3 (base 16) to base 13\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -z + 2*l, z - 6*z = -l - 666. List the prime factors of z.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -27. Let z(n) = -2*n + 4. What is the remainder when z(-5) is divided by ((-4)\/t)\/(2\/(-40))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 - 4*j**2\/3 - 4*j\/3.\nAnswer: -j*(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y*(y\/(y**(-2\/37)\/y))\/y))*y)\/((y*y\/(y*y*y**10)*y)\/y))\/(y*y*y**(1\/3))**(-20) assuming y is positive.\nAnswer: y**(6740\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 21*624\/504?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 5:14 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z + 6. Let p(f) = -2*f - 3. Calculate -6*c(q) - 13*p(q).\nAnswer: 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*c**3 + 25*c**3 + 24412 - 48828 + 24416.\nAnswer: 51*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39910?\nAnswer: 2, 5, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in -128, 3, -1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 18 + 4 = 5*d, 4*h = -3*d + 4. Suppose -5*x + 45 = 4*p, 4*x = 5*p - d - 1. Solve 3*g - 2 = x*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.29 <= 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)\/i)**(-21)*((i\/i**(-8)*i)\/i)\/i*i**(3\/2) assuming i is positive.\nAnswer: i**(145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1227*a + 1226*a + 980. Calculate the greatest common divisor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/4*(-28)\/35?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(13\/4)*b*((b*b**(-5))\/b)\/b*(b\/(b\/b**(-10)))\/(b**(10\/9)*b) assuming b is positive.\nAnswer: b**(-463\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 5) in base 15?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/4 - 110*t + 221 = 0 for t.\nAnswer: -442, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 11494\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46891 is divided by 527.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 5*k + 2. Let f(y) be the second derivative of 0 + y**3 - 2*y + 3\/2*y**2 + 1\/6*y**4. Calculate -3*f(o) + 4*m(o).\nAnswer: -2*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -3. Suppose -55 = -0*d - v*d. Let q = -90 - -122. Calculate the lowest common multiple of q and d.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, a: 1, w: 2, x: 3}. What is prob of sequence wy?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1547\/10 - -155. Which is greater: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1766, -2349, -2942, -3551, -4182, -4841?\nAnswer: -5534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + (3 - 1) + -1. Let l(g) = 4*g + 4. Calculate the smallest common multiple of (45 - 1)*(-2)\/h and l(4).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 t when three letters picked without replacement from ptfnggftpgtw?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*q**2 - 140*q**2 - 49*q**2 - 144*q**2.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 238*w - 10002. Determine i(42).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 0, 1, -636, -3121 in descending order.\nAnswer: 3, 1, 0, -1, -636, -3121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p**2 - 1. Let h(o) = 16*o**2 - 2*o. Give h(v(u)).\nAnswer: 576*u**4 + 204*u**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34202221?\nAnswer: 1471, 23251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 240 = 15*q. Is 24 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-221)*-26*(-1)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41.97 and 511.\nAnswer: -21446.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8178*q**2 + 126*q**2 + 1 + 4116*q**2 - 25310*q**2.\nAnswer: -29246*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -4*x**5\/15 - 22*x**3\/3 + 19*x**2. Differentiate a(v) wrt v.\nAnswer: -32*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000121 rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 199622 or 199461?\nAnswer: 199622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 8*p**2 - 9*p. Let h be m(-4). Suppose 4*t = 139 + 25. Let b = h + t. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 835431364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10893653.\nAnswer: 10893653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -161 + 167 - (-49 - -2 - -4)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3482309959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.32611 and -454.593233.\nAnswer: -454.267123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 252168*g**4*s**2 + 3*g**3*s - 2546159*g*s**2 wrt g.\nAnswer: 3026016*g**2*s**2 + 18*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 194, -2, -0.5, -27\/29, -1 in decreasing order.\nAnswer: 194, -0.5, -27\/29, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*u**4 + 5 + 65*u**4 - 2*u**2 + 5*u**3 - 6 to the form i*u**4 + p*u**2 + s*u + q + j*u**3 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 25.00000104. What is k rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -912, -3646, -8202, -14580, -22780, -32802, -44646?\n\"Answer: -911*z**2 - z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/2 - (22\/(-7) + (-107)\/(-749)). Let a(r) = 41*r + 3. What is a(l)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 140, 155, 170?\n\"Answer: 15*s + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 3) to base 9\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 332*k**5*o**3 - 1619*k**3*o**3 - 96*k**2*o**3 + k**2*o + 29*k*o - 4*o**3 + 2*o**2 wrt k?\nAnswer: 19920*k**2*o**3 - 9714*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/22932 and -223\/2178540?\nAnswer: 2178540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -8. Let m be 2 - -2*1\/(-4). Let j(s) = s + 15. Let k be j(-15). What is the second smallest value in m, b, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by -15\nAnswer: 32\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62488.\nAnswer: 2, 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/(-8))\/(((-3)\/(-12))\/(78\/52)). What is the highest common divisor of 381 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 x when three letters picked without replacement from vjvjxjvjvxjjxxvjxxx?\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.21 - -2.41. Which is the closest to g? (a) 1 (b) -6 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016379997 to 5 dps.\nAnswer: -0.01638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2230 or 28982\/13?\nAnswer: 28982\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/18)\/((-15)\/(-18)). Let k = -3.4 - 2.1. Let b = -5 - k. What is the closest to -0.1 in -2\/5, b, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9113, 12313, 15513, 18713, 21913, 25113?\nAnswer: 28313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 0 - 45. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 414 = 11*s. Calculate the common denominator of (0 - -11)\/(117\/s - 4) and -47\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvvvhhhvttvwith. What is prob of sequence vuuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, k: 5, l: 2}. What is prob of picking 2 i and 1 k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -13\/1439 and -2.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 24\/7, 13, 2\/7, -7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243090977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*r**3 + 357*r**2 - 20484*r wrt r.\nAnswer: 108*r + 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*t - 0. Let k be 4\/(-6)*(-3)\/t. Suppose 2 = 2*i + 4*b + 6, -4*i - 3*b = -k. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593433321 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 3*v + 31 = 4*n, -4*n - 2*v = -6. Solve 31 = -n*g + 3*o, 0 = 2*g + 7*o - 3*o - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (4 + -11 + 3) - -3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*c + 2*c**3 + 103*c**2 - 14 + 13 - 100*c**2 in the form g*c + w*c**3 + h*c**2 + k and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/84*282 + 31.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + -6*-3*sqrt(180) + 5 + -5*sqrt(180)*-6 + 4)**2.\nAnswer: 8064*sqrt(5) + 414917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 11784575\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -30 * -14\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 61302469073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 26*i + 168. Let x be r(17). Let w be x\/18 - (-61)\/42. Factor w*f**2 + 4\/7*f**3 - 72\/7 - 12\/7*f.\nAnswer: 4*(f - 2)*(f + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -63*c + 10. Suppose -8 = 3*h + 22. Let r be g(h). Round r to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5496913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -51. Let m = u + -9. Calculate the remainder when 48 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94279*v - 94297*v + 188579*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 9*y + 50. Give q(-7).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:34 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58836188 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -5*o - 1118 + 1109, o + 6 = 2*u - 3*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*j**2*r + 96*j*r + 299*r - 2 wrt j.\nAnswer: 14*j*r + 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k. Let l(w) = 24*w**2 - 12*w**2 - 2*w + 2 - 12*w. Let n(c) = -28*j(c) + 2*l(c). Factor n(y).\nAnswer: 4*(y + 1)*(6*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.787 (c) -0.3 (d) 0.2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 645980184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (-1 - 37) - (5 - 2). Suppose -1701 = 4*r - m*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 40. Find the first derivative of 72 - 44*d**2 - d - 18*d**2 + k*d + 0*d wrt d.\nAnswer: -124*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p. Let i(z) = 4*z - 223. What is 3*g(f) - i(f)?\nAnswer: -f + 223","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22458349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 5:16 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -43. Suppose -2*i - 3*m = -18, m - 18 = -2*i + f*m. Solve 7*c - 10 = i*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 118*c**2 - 166*c - 15. Let k(h) = -h + 3. Let r(j) = 5*k(j) + n(j). What is the second derivative of r(p) wrt p?\nAnswer: 236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v. Let q(z) = 5*z. Determine -6*a(y) - 14*q(y).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 6:37 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 e when three letters picked without replacement from egeageggeaegegaagaeg?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 136983 divided by 6523\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**2 + 5224*j = 0?\nAnswer: 0, 1306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33101482 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 3*v**4\/8 + 3*v**2 + 18. What is u(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219651911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*g*n*y**3 + 71*g*n*y**2 + 62*g*y**3 - 24*g*y**2 - g*y + n*y**3 - y**3 wrt y?\nAnswer: -102*g*n + 372*g + 6*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3020?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s + 5. Let d be 30\/(-4) - (-168)\/(-112). What is n(d)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 c, 1 z, and 1 y when four letters picked without replacement from zymcvclymmyv?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-27)\/(-2))*(8 - 9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*r + 363*r**2 - 307*r**2 - 80*r wrt r?\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*a - 18, 2*t - t = 3*a + 6. Suppose -5*k - 10 = 5*p, -k - 4 = 3*p - 2. Let o(l) = 1 + t - 5 + 6*l + p. Calculate o(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -10213, -1?\nAnswer: -10213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**3\/8 - 27*c**2\/2 - 315*c\/2 - 588 = 0.\nAnswer: -14, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 8*q - 11. Let m be t(5). Suppose 179 - 59 = m*p. What is the remainder when p is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96284863*s**2 - 270798717*s?\nAnswer: -192569726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.022 (b) -0.7 (c) 0.3 (d) -2 (e) -2\/5 (f) -112 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 123\/2. What is the closest to m in 1, 0.02, 0.4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 - 3459*s**3 + 304785*s**2 - 301325*s.\nAnswer: -s*(s - 85)*(s - 1)*(s + 3545)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 8, -1\/9, -4, 3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 2*y + 5 + 0*y - 5*y + y + (y + 2*y - 2*y)*(2 - 2 + 1) + 4*y - 4*y - 2*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, j: 2, r: 4}. What is prob of sequence rf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(84)*-1 + sqrt(84)))\/(sqrt(24)\/sqrt(2)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*i + i = -36, -5*i + 21 = v. What are the prime factors of (v\/8)\/(15\/2460)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47b1 (base 16) to base 15.\nAnswer: 5688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95 - -186399.18.\nAnswer: 186494.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*3\/12*0. Suppose p*i = -2*i. Put i, 5, -1 in descending order.\nAnswer: 5, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1571*p + 1560*p + 1572*p - 6263*p - 7*p**2 + 1560*p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, l: 1, r: 1, b: 2, u: 2, o: 1}. What is prob of sequence zzb?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 2:12 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 5. Let q be v(0). Suppose -q*l + 3*r + 7 = -0, 20 = -5*r. Which is the nearest to 0? (a) l (b) 5 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from gceon.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*x - 35 = -5*x, -4*x + 1 = -3*d. Suppose -3*q = -d*q + 2*j + 14846, 0 = 3*q + 3*j - 22293. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -2*v - 182. What is the tens digit of 1364\/4 - (-8 - (-3 + v))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 30, -221, -1\/3, 0.3?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6448 and 236871.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1154*290.\nAnswer: -33.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**2 + 4*r + 42. Calculate f(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r**2 + 4*r - 4. Let h be a(-4). Let f = 91 + h. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = 8*h + 18 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 136\/(-51) + 8\/(-6). Calculate the remainder when 73 is divided by ((-228)\/24)\/(2\/f).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2014 - -4.\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37.3 + 36.3. Which is the nearest to 0? (a) 1\/2 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 10*a**2 + 7*a + 9. Let u be b(12). Let n = 229 + u. Let s be (-906)\/(-54) + (-4)\/(-18). What is the greatest common divisor of s and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -42 + 167 + a - 120. Determine u(-21).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/2 + 200069*d\/2.\nAnswer: -d*(d - 200069)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47785 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9703 divided by -313?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 350355966*x**5 + 654578330*x**2?\nAnswer: 21021357960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 25*u - 9. Calculate the remainder when w(4) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -6 - (-13 - (-1096)\/64).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from {t: 1, w: 1, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12402 divided by 6.\nAnswer: 2067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60902237?\nAnswer: 11, 5536567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3867 is divided by 2644.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 + -3.98. What is the third biggest value in 3\/4, -3, 6\/13, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 35 = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3807.86 + 3808. What is the closest to 2 in s, 4, -1\/3, 2\/27?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10265.2544+-0.089\nAnswer: 10265.1654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11558038, -11558030, -11558022, -11558014, -11558006, -11557998?\nAnswer: -11557990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 2*j - 14 = 0, 2*v + 1398*j - 1334*j - 433 + 1529 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = -166 - 206. Let j(n) = n**3 + 32*n**2 + 33*n + 67. Let o be j(f). Solve -4*r + 2 = -s - o, -2*s - 5 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsijziq. What is prob of picking 1 z and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 21. List the prime factors of o(-6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -a + 207, -10*j = 2*a - 11*j - 386. What is the remainder when a is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -14 (b) 4 (c) 4.6658\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a + 6. Let h be y(6). Let z be 50\/h + (-2)\/9 - -15. Solve -z = -0*p - 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120745 divided by -205\nAnswer: -589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -13529 smaller than -97\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 498057608 to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -220*j**2 - 48*j**2 - 867*j + 2 + 755*j wrt j?\nAnswer: -536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -69545.\nAnswer: -1\/69545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**6\/72 + d**5\/8 - 17*d**3\/6 - 3*d. Let s(w) be the second derivative of t(w). Suppose s(v) = 0. What is v?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 252a?\nAnswer: -2534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 5*k + 2. Let t be x(0). Put 3, 173, 4, t in decreasing order.\nAnswer: 173, 4, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 947796 is divided by 1987?\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/2 - -10) + 1. Let u(r) = -r**3 + 5*r**2 - 5*r - 3. Let x be u(4). Let z = j + x. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 24*h + 220. Let y be f(-27). Suppose 183 = d - y. Is 24 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 699 divide 22105875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**8\/20160 + p**7\/7560 - p**4\/6 - 3*p**2. Let c(f) be the second derivative of v(f). Find a, given that c(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r - h + 32 = 0, -4*r - 22 = h. Let x(i) = i + 8. Let s be x(r). Suppose s*m = -0*m + 266. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-12 + 0 + 0). What is the third derivative of 4*s - 4*s + 4*s**2 + w*s**3 + 8*s**2 wrt s?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 16c?\nAnswer: 16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8517 and 2166825?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4 = 20. Suppose 0 = 3*v - 10 - h. Let a(g) = -g**3 + 6*g**2 + 2*g - 8. Let b be a(v). Solve -11 - 1 = -b*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25698 is divided by 8552.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*g - 2*g**4 - 27*g + 2 - 12*g + g**3 to the form p*g**2 + d*g**3 + j + t*g + h*g**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + f + 220492 = 220466, -4*p - 5*f - 35 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 16. Suppose -h = -2*n + 2*o, 5*o + 2 = -8. Suppose 27 = w - 3*t, -4*w + 33 = 4*t - t. What is the greatest common divisor of n and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 244, 539, 848, 1177, 1532?\n\"Answer: h**3 + h**2 + 285*h - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 1 = 5*c, -3*y = 5*c - 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-1 + -7*1). Suppose -t + 8 - 1 = 2*f, 5*t + 20 = f. Suppose -i - y = -f*m - 2, 8 = 2*i + m. Solve i*z - 9 + 0 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**4 + 9*f**3 - 12*f = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 147*-0.08\nAnswer: -11.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2477033*q**3 + q**2 - 4837*q - 264?\nAnswer: -14862198*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - s + 7 = 0, 2*q + 5*s + 4 = -12. Let m = q - -5. Suppose 10 = 3*c + 2*o, o = -m*c + c + 2. What is the remainder when 15 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2169*y - 301. Let j be c(25). Suppose j = 61*u - 9*u. Is u a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/87633 and 49\/11556.\nAnswer: 1051596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 13*z = 18, 3*z - 54 = 2*t - 44 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(5\/9)*a*a**(2\/11) assuming a is positive.\nAnswer: a**(271\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 35 - 6)*(-6*d**3 - 469 + 469).\nAnswer: 228*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5232, -2\/5, 1.43?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otootooootooot. Give prob of picking 2 t and 2 o.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 1073\/217?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -3014?\nAnswer: 3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-4 + sqrt(125)*-1)*-2)**2 - (-4*(3*-3*sqrt(125) - sqrt(125))**2 + -3).\nAnswer: 960*sqrt(5) + 53387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**4\/4 + 4*g**3\/3 + 11*g**2\/2 - 6*g - 4. Calculate the remainder when 94 is divided by j(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -37. Suppose 18*g - 16*g = -t. Does 4 divide (-330)\/g + (-1)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -721048 divided by 193.\nAnswer: -3736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.4 and 3212.\nAnswer: 3209.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001014409 rounded to 5 dps?\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n - 32*n + 60 = 0. Suppose 0*x = 4*x - n. Suppose 0 = -j - 5*g + 42, 2*g - g - 182 = -x*j. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 + 8183*n**3 + 8067*n**3 - 7*n**2 - 16477*n**3 + 2*n to the form q*n + d*n**3 + g*n**4 + l*n**2 + t and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2 = 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8308?\nAnswer: 2, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 66 + 4)*(-1 + 1 - 3)*(-2*f + 0*f + 0*f).\nAnswer: -318*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51921055?\nAnswer: 5, 10384211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 11. Solve -3*b + u = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188240100 rounded to the nearest one million?\nAnswer: 1188000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22102 + -1?\nAnswer: -22110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 6*c**2 - 7*c - 4. Let h = -40 - -40. Suppose h = -2*z + z - 5. What is s(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12163320 + -61?\nAnswer: 12163237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8745*-1108.\nAnswer: -9689460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -18 - (-2 + -13 - -10).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*i - 451*d = 92*i - 1356, 5*i + 20 = 5*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2124*h*v**2 - 217*h - 2 wrt v.\nAnswer: 4248*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**3 - 1884*m**2 - 15268*m - 28740 = 0. Calculate m.\nAnswer: -5, -3, 479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*c - 45 = 0, 3*c = -7 - 8. What is the remainder when 1 - -1 - 8\/(-1) is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdod when four letters picked without replacement from {d: 3, o: 3, f: 4, m: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190748, 190744, 190740, 190736, 190732?\nAnswer: 190728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 62509 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.288725m to kilometers.\nAnswer: 0.007288725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 not equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 10753 = -k - 2*k, -2*k = a - 7173. List the prime factors of k.\nAnswer: 2, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5042 - -5042.9. Which is the biggest value? (a) 0.2 (b) 5 (c) 1 (d) k (e) -74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280230773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 3264.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2568969, -2568980, -2568991?\n\"Answer: -11*c - 2568958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1176706.\nAnswer: 2, 17, 53, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -21*p - 150. Calculate l(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -2, 5, -1, 2420 in ascending order.\nAnswer: -3, -2, -1, 0, 5, 2420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3073.1, -212, 1\/4 in increasing order.\nAnswer: -212, 1\/4, 3, 3073.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-24))\/((-15)\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.64 plus -3?\nAnswer: 11.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - 84*o - 23 = 71 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2641*p + 50 - 2640*p + 29 as s*p + h and give h.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2 + 20 + 5 + 2*t. Let n(s) = 129 + s - 129. What is k(n(z))?\nAnswer: 2*z + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4346 from 3062.\nAnswer: -1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-154425)\/580)\/(-213))\/((-2)\/32*(-28)\/(-8))?\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/5)\/(14\/(-245)). Let m(q) = -3*q - 16. List the prime factors of m(b).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-489804)\/6174*(-6)\/(-28).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0615 + 3.1285. Let m = -0.01 - z. Let i = 2.8 - m. Put 1\/3, i, 1\/4 in ascending order.\nAnswer: 1\/4, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20027168*s**5 - 3*s**2 + 641799*s?\nAnswer: -1201630080*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 14002 - 14012 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1438745, -2877483, -4316221, -5754959, -7193697, -8632435?\nAnswer: -10071173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k = 30. What is the remainder when k is divided by (-203 - -201)\/((-4)\/((-24)\/(-3)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 + 39*b**2 - 18*b - 25. Calculate a(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 9:23 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -b + 35, -w + 5*b = -3*w + 37. Let h = 52 - 42. Suppose a - h = -a. Solve -a = -q + 6*q, 4*r + 2*q = w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.169 - -0.369. Let i = -0.8 - -0.78. Let j = i + -0.08. Sort y, j, -0.3, 3 in increasing order.\nAnswer: -0.3, j, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4929126, -4929124, -4929122?\nAnswer: -4929120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 30 = -106. Let h = l + 129. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 - 71. Let y be -1 + 1 + (-1 - -2). Let d = m - y. Solve -2*u + d = 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b**3 - 9*b**2 + 3*b - 3. Let j(y) = -5*y**3 - 9*y**2 + 2*y - 3. Let f(k) = -4*i(k) + 5*j(k). Is f(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32900 divided by 350?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b034 (base 12) to base 13.\nAnswer: -503b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -326276, -2 in decreasing order.\nAnswer: -1, -2, -326276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -161765 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55509, -111092, -166675, -222258?\nAnswer: -277841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72956 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y. Let w be n(-3). Suppose -w*p - 2 = -8. Solve 0 = -3*c - 5*m + 26, 5*m - 3*m = 5*c - p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -727779 times 0.1?\nAnswer: -72777.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 19.8. Let q(r) = -r**2 + 18*r - 9. Let d be q(13). Let z be 1 - (d\/9)\/8. What is the nearest to 0 in w, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j - 1. Let x(o) = -10*o - 4. Let a(l) = 11*l + 5. Let b(s) = -5*a(s) - 6*x(s). Let w(z) = 5*b(z) - 6*q(z). Determine w(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 904\/6*30\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 + -4 - 24) + 26.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzzzzjzjjrzzzz. Give prob of picking 2 z.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.0462 + -19.4248. Let f = u - -25.3. Round f to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*r + 33, -4*x = r - 24 - 20. Let b = -6 + -1. Let d be (-1)\/b - (-228)\/21. Calculate the greatest common factor of d and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -5. Suppose -i = 5*d, -5*p = -4*p - 4*d - 33. Is 25 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9353 is divided by 283?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 6*d + 37. Give c(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -248458*w**6 - 47672*w**2 - 7*w.\nAnswer: -29814960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 248*h + 248*h - 1 - 493*h - 25. What is the remainder when 46 is divided by i(18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 109, 617, 1999, 4693, 9137, 15769?\n\"Answer: 73*s**3 - s**2 + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**2. Let z(k) = -k**3 + 21*k**2 - 38*k + 3. Let o be z(19). Suppose -4 = -5*p + 11. Let g(r) = -2*r - p*r + o*r. What is g(q(m))?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**3 - 42*s**2 + 87*s + 132 = 0. What is s?\nAnswer: -1, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 59. Suppose p - y = -p. What is the third derivative of -p + g**2 + 9 - g**6 wrt g?\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9655672*s**5 - 4342825*s wrt s?\nAnswer: -193113440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + 9*c**2 - 1076 + 13*c**2 - 23*c**2 to o*c + r + l*c**2 and give r.\nAnswer: -1076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*s + 7, -s - 3 = -l - l. Let k = 6 + l. Suppose 3*q + 1 - 7 = 0. Solve 1 = -q*o + k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9\/10 of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 + 120 = -8*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = n + 77, -5 = -8*p + 7*p + 5*n. Solve 0*x + 2*x = 8, 4*d + x = p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6450\/85 + 4\/34. Suppose -h - 3*q + 217 = h, 0 = -h + 5*q + f. What are the prime factors of h?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - (sqrt(110) + (sqrt(110) + sqrt(110)*2)*-4))\/(sqrt(50)\/sqrt(5)*-1 - sqrt(10)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 6*f + 16. Let s be b(7). Let n = s + 0. Let d(i) = i**2 + 2*i + 16. Is d(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 1002*a. Let k(o) = 2*o. What is k(s(h))?\nAnswer: 2004*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011637734 to six decimal places.\nAnswer: 0.001164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g - 11*g**3 - 9*g**3 - 2 - 173*g.\nAnswer: -20*g**3 - 194*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + (-11 - -12) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a - 201*a + 144*a + 34*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - -1 - (42 - 28) - 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3340884 and 3340884?\nAnswer: 3340884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - -6. Calculate the remainder when (-75)\/40 + 2 - 111273\/(-696) is divided by z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + 2*q**4 + q**4 + (4*q - 4*q - 2*q**3)*(1 - 1 - 2*q) + q**4 - 5*q**4 + 2*q**4 + 65*q**4 - 22*q - 10*q + 28*q.\nAnswer: 69*q**4 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-15) + ((-225)\/50)\/(27\/(-6)).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**3 + 6*i**2 + 30*i - 13. Let k(b) = -12*b**3 + 17*b**2 + 89*b - 37. Give -6*k(x) + 17*u(x).\nAnswer: 4*x**3 - 24*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-56)*(-608)\/4104.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24606, -49436, -74266?\nAnswer: -99096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 571, 2228, 4989, 8854, 13823?\nAnswer: 19896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21641206 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*f = 73, 5*f - 48 = -4*y + 17. Let j be 15\/(-9)*6\/y. Let r = -0.04 + 5.04. Which is the closest to -2? (a) 1\/5 (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 202, -5, -70, -957 in increasing order.\nAnswer: -957, -70, -5, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 1589 = 49. What is the smallest common multiple of 28 and q?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -31. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 16 = 4*w, -5*f + 10*f = 3*w - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*a - 21, 6*l = 4*l + 3*a + 2. What is the closest to 2\/73 in 4, l, -0.2, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3255 and 917910?\nAnswer: 917910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**4 - w**4 + w**4 - 1739*w**4 + 476*w**4 - 825*w**4 + (-2*w**4 - w**4 + 5*w**4)*(1 + 1 + 0) to f*w**3 + r*w**4 + x*w**2 + n + z*w and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2) + 2)**2 + 2.\nAnswer: 4*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -17, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -2*v + 4*v + 18, -3*a - 2 = 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/3)*t\/(t**(2\/11)\/t)*t**(4\/5)\/(((t*t\/t**(3\/7))\/t)\/t))**(12\/13) assuming t is positive.\nAnswer: t**(15616\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10666185 + -1?\nAnswer: 10666184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 3*j + 4*j - 4*j + 3*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -165.76 - 0.03.\nAnswer: -165.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11372.565ms to minutes.\nAnswer: 0.18954275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*p + 1 = -0*p, a = -4*p - 5. Let f(j) = -12*j - 12. Let v be f(a). Solve -9 = -v*u + 9*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1514 + 2720. What are the prime factors of a?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/14 and ((-99)\/(-16))\/((-3)\/12).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*w = -17, -4*v = -v + 4*w - 5. Let m(d) = 0 + 6*d - 1 - v*d. Calculate the smallest common multiple of 20 and m(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362702168 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*i - 2)*(65 + 28 + 13*i - 5*i**4 - 90).\nAnswer: -15*i**5 + 39*i**2 + 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8170 divided by 5.\nAnswer: -1634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {f: 1, s: 1, a: 1, h: 1, j: 1, o: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 153 = 189. Suppose -3*h - s = -585. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-3)\/(3\/(-3)). Let j = a - 5. Let l be 2*(1 - 2)*j. Solve l = -4*f - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*m - 18 = 2*m, -5*i = -4*m - 30. What is the lowest common multiple of i and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 24 = 96 - 68 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + -41 + 27 + 72.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x - 3*x - 1 + 3)*((0 - 4 + 2)*(4 - 1 - 2) + 1 + 3 + 9 + 7 + 1 + 0) to t*x + v and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207741, 207720, 207673, 207588, 207453, 207256, 206985, 206628?\nAnswer: 206173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8 = -0*y. Suppose y*h - 380683 = 579317. Suppose 0*i - 2*i = -h. Round i to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 124*w**2 + 78*w + 5569. Give t(123).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*z - 2*z - z)*((-103 + 109 - 240)*(0 + 0 + 2) - 1 + 1 + 2) in the form d + m*z and give m.\nAnswer: -1398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 48?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -746 - -841 - (110 - 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*m. Suppose 0*k = 2*k - 8, -2*v + 4*k = -m. Suppose -4*q + 132 = 4*s, -2*s + 12 = 5*q - 48. What is the remainder when s is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (12 - 114 - (4 + -5 + (-6 - -2))).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10499.38 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*w + 6*w = 104*w - 944. Let g(q) be the third derivative of 0 + 3\/14*q**3 - 10*q**2 - 1\/28*q**w + 0*q - 1\/140*q**5. Solve g(d) = 0 for d.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -m - 2. Let t(v) = -v**2 + 9*v - 8. Let p be t(m). Let q be p\/(-8)*-24*1. What is the highest common divisor of 45 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + -3*(-59)\/3. Let j = h + -21. What is j rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 939*y - 2222*y - 47471 = 0 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.23 - 0.07. Which is the closest to -2? (a) -5 (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2012 = 66*k - 2774 + 1618 for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 485\/3 + 257\/2*n + 1\/6*n**3 - 33*n**2 = 0?\nAnswer: -1, 5, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/435 and (-5238)\/(-12180) - (-3 - 43\/(-14)).\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 7*p. Let g(k) = 3*k**2 - 21*k - 1. Suppose 12*b - 4*b - 41 = 15. Determine b*n(v) - 2*g(v).\nAnswer: v**2 - 7*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 144*i**2 - 138*i - 736. Determine a(143).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 75*w**2 + 24*w + 1799. Give a(-75).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = 4*d + 3*w + 359, -789*d - 2*w = -794*d - 395 - 48 for d.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 39*z**3 - 16*z**2 - 5*z + 3. Let c(g) = 116*g**3 - 50*g**2 - 16*g + 10. Give -5*c(h) + 16*m(h).\nAnswer: 44*h**3 - 6*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 - (-22 + 20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 30. Let b be z(13). Suppose -14 = b*v - 30. What is the least common multiple of v and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13992, -13944, -13864, -13752, -13608, -13432?\n\"Answer: 16*y**2 - 14008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 892 and 24.\nAnswer: 5352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 5*d**2 + 6*d + 2. Let q be n(-6). Let o be ((-3)\/9)\/(q\/18). What is the least common multiple of ((-9)\/o)\/(1\/1) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*f**2 - 28*f**2 + 32*f**2)*(0*f**2 + 2*f**2 + 0*f**2) to j*f + w*f**4 + m + z*f**3 + b*f**2 and give w.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144561?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 8 + -4 - 0\/(5 - 18). Factor -1\/4*j**4 + 1\/2*j**3 + 0*j**r + 0*j + 0.\nAnswer: -j**3*(j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2560 and 5504.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 32*c**2 - 59*c - 40. Let v be a(30). What is the units digit of (1647 - -47) + v\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 + 71. Let x be f\/(-42)*(-51)\/34. Is -10 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -474694\/13 or -36514?\nAnswer: -36514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z + 0*z)*(-13*z + 124 - 124).\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 12450675?\nAnswer: -12450680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.27 - 20.27. Which is the second biggest value? (a) v (b) -0.4 (c) 1 (d) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 132292845*r - 132292842.\nAnswer: -3*(r - 44097614)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*j + 24, -2*o = -3*j + o + 27. Suppose -j = -4*z - 4. Solve -3*u - z*u - 20 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 641600*d**2 + 28070*d. Let f(z) = -2403*z**2 - 105*z. Let g(t) = -3*c(t) - 802*f(t). Let p(h) = 2*h. Calculate p(g(a)).\nAnswer: 4812*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 9. Suppose 0 = k - 12 + 4. What is the least common multiple of p(-7) and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12634 - -12636. Put 152, m, -4, -5 in ascending order.\nAnswer: -5, -4, m, 152","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 11:19 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3553 - -18184. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z. Let y(r) = -54*r**2 - 53*r**2 + 108*r**2. Calculate w(y(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 22, 21, 20, 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + 47*u + 47. What is l(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 16 - 21 = 0. Let y = -1 - 0. Let s = y + 1.1. Put s, -3\/5, m in ascending order.\nAnswer: m, -3\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7446 = -249600*w + 249381*w for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 376 + -6019\/16. Let l = h + 15\/16. What is the smallest value in -4, -0.5, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7919a92 + 5?\nAnswer: -7919a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 2. Let s(r) = 36*r + 213. Let w be s(-6). What is a(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 4, -0.19, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 + 25*v**3 - 15*v**3 + 34*v**3.\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1953637?\nAnswer: 7, 19, 37, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 12:00 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 7 - 6 = -5*m, -5 = c - m. Let y be 132\/28 + c\/(-14). Suppose 0 = 4*d - y*n - 0*n, 0 = -n. Solve 4*p - 5*s + 30 = d, -s - 19 = 3*p - 3*s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*w + 6*w - 42*w + 13*w to b + r*w and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308744 a multiple of 797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 46\/12 + (-5)\/(-30). Suppose -u*q - 3*k + 2*k = -197, k = 1. Is q a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aavv when four letters picked without replacement from {a: 5, v: 9}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*p - 19*p + 6083*p**2 + 23*p - 41*p.\nAnswer: 6083*p**2 - 81*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 573*b**2 - 1065 + 1065 to d*b**2 + u + s*b and give d.\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 17*u**2 + 5*u - 80. Let t be h(17). Suppose -5*r = p - 5, t*r - 44 = 5*p - 189. What is the greatest common factor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11\/2, 5, -0.1, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.11289 - 0.38711. Is b equal to -1.918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g. Let x(s) be the second derivative of 7*s**4\/2 + 19*s**2\/2 - 1311*s. What is k(x(f))?\nAnswer: -84*f**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819 - 2301 = 78*u for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 5:22 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.08 (b) 1 (c) -0.1 (d) -3 (e) -0.011 (f) -3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r. Let h(y) = y + 189. What is v(h(z))?\nAnswer: z + 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -34.35. Let s = -0.35 + z. Let y = 2 + s. Which is the third smallest value? (a) 1 (b) 0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**2\/q)*q)**24*q**(-2\/7)*q\/((q\/(q\/(q**(-3\/5)\/q*q)))\/q) assuming q is positive.\nAnswer: q**(921\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 2:26 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2746 + 2747 = -0*l - l - 14*v, 4*l + 4*v + 4 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1034134, 2068249, 3102354, 4136449, 5170534?\n\"Answer: -5*k**2 + 1034130*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 922*h + 10584 - 45620 = 0 for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + (-1 - 0))\/(((-4928)\/(-77))\/512).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10825, -0.127, -0.5, 0.1?\nAnswer: -0.127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12972423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/68 + 1755\/(-7293).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49.263211 + 49.26. Round d to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3343.\nAnswer: 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 15821*q - 94946. Calculate i(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4292200 to the nearest 10000.\nAnswer: 4290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**4*o**2 - c**4 + c**2*o**2 + 287*c*o**2 wrt c.\nAnswer: -24*c*o**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 211 + -206. Let g = -0.06 + -1.94. Which is the closest to g? (a) 2\/5 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30550008*x**2 - 25186891*x?\nAnswer: 61100016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -32. Suppose -198 - 126 = -t*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 4:45 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybbbyybbybbbybbyboy. Give prob of picking 2 y and 1 b.\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36 - 17 + 72)*(4 + s - 4) to the form i + z*s and give z.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67330 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41177066?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -82*s + 4440. Let w be d(36). Calculate the greatest common factor of w and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/1*((-1890)\/20)\/(-63).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - 4*z + 2*z + (-3 + 3 + z)*(3 - 3 + 2) + (2 - 2 - z)*(6 - 1 - 1).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4751361 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + 4)*(-3)\/6. Let a be 1 + 0 + -5 + 2. Let b be (a\/4)\/(3\/12). Sort 5, b, v in descending order.\nAnswer: 5, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58344 or -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -33*r**2. Let w(x) = -x - 4. Suppose j - 11 = -3*d, 0 = -0*d - 5*d - 5*j + 5. Let u(p) = -p - 5. Let q(a) = d*w(a) - 4*u(a). Determine l(q(f)).\nAnswer: -33*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 235701079?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180.11787s to minutes.\nAnswer: 3.0019645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36272, 72507, 108754, 145019, 181308, 217627, 253982, 290379?\nAnswer: 326824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -46 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -68 (c) -0.1 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193431 is divided by 309.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yahd when four letters picked without replacement from {d: 3, y: 4, h: 2, a: 1, l: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-104))\/((-12)\/(-624))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2.03 (b) 0.1 (c) -5\/4 (d) 1\/2 (e) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 12*q + 17244 - 55956. Does 98 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 + 43. Suppose 3*d + 3*k + 7 = -2, -2*k = s*d + 6. Suppose 4*q + 3*f - 625 = d, -6*q + 5*q = -2*f - 170. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/10 - (8 + (-412)\/64)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 6 + (4 - 4). Let q(u) = 3*u**2 - u**2 - 12*u + 8 + z - 5*u. Is q(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 + 4\/10. Let n(b) = -10*b**2 + 6*b - 10. Let u(z) = 3*z**2 - 2*z + 3. Let m(i) = -2*n(i) - 7*u(i). Let y be m(1). Is g > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kaogoakkaagooookgakg. What is prob of picking 3 g?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(a**2 + 0*a**2 - 2*a**2) + 1646*a**2 - 339*a**2 - 514*a**2 - 4.\nAnswer: 791*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*o - 26, -396 = -4*d - o - 390 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57095067661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 11. List the prime factors of 6\/(1\/a) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 11*b**2 - 4*b. List the prime factors of u(-11).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -2\/5, 2.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13817 = 152*p - 804 - 1005 for p.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502016360.\nAnswer: 2, 5, 3259, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/9)\/8*120\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**4 - 15528*u**3 + 31080*u**2 + 62112*u - 124272 = 0?\nAnswer: -5178, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1364230066?\nAnswer: 2, 682115033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 4 (c) -4 (d) 19\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6 + -3)*18\/(-15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -202. Let p = -143 - i. Is 0.062 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(3 - 0 - (-1104)\/(-372)). Let n = v + -26. Let w(q) = -2*q**3 + 4*q**2 + q**3 + 4 + 0*q + 3*q. Calculate w(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/5 - 156*m**2\/5 - 449*m\/5 + 306.\nAnswer: -(m - 2)*(m + 5)*(m + 153)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 2*x - 2*x + 9*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x + 1. Let l(j) = 12*j - 71. Calculate 5*b(d) - l(d).\nAnswer: -2*d + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174 + 3*p + 364 - 190.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 5*b**2 - 5*b - 1. Let s be o(-1). Suppose -5*t + 2*m = -156, s = t - m - 1 - 29. What is the greatest common factor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l + 4. Let i be h(7). Suppose -i = -2*t - 5. Let k = t + -2. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -222*l**2. Let b(z) = 4*z + 1. Let d(k) = 11*k + 3. Let a(c) = 3*b(c) - d(c). Determine a(x(h)).\nAnswer: -222*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -128 + (100 - 63 - -50)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 255, 4, -4786, -4, -2 in decreasing order.\nAnswer: 255, 4, -2, -4, -4786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**6\/120 - r**5\/20 + r**4\/12 + r**3\/2 - 3*r**2. Let n be w(-3). Put -1, 4, n in descending order.\nAnswer: 4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 21536134884.\nAnswer: 21536134879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89 or 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 129024, 129045, 129066, 129087, 129108?\n\"Answer: 21*k + 129003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddmqegddd. What is prob of sequence dmq?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/33)\/(1\/(11\/(-1)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-18)\/8)\/((-6)\/368).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42042 and 7.\nAnswer: 42042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6065.\nAnswer: 5, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 227 + 11?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -5*p - 74. Let r = -9 - p. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698895891.\nAnswer: 3, 17, 103, 14783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 1350979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*k - 8 = 0, 5*k + 11 + 10 = 4*j. Suppose 4*s = 2*h + 4, 0 = -0*s - s - 3*h + 15. Put -2, s, j in descending order.\nAnswer: j, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145 - -147. Solve 2*j + 0*j = -x - 2, -4*x + q = -2*j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**10*o*o*o**(2\/11))\/(o**(1\/9)*o**(-2\/9)) assuming o is positive.\nAnswer: o**(1217\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 106 = -2*j + 143, 4*r - 363 = -3*j. Suppose t - j = -2*t. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -1310*w + 11812. Calculate u(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/13 (b) -5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 42 + -959652\nAnswer: -959610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 17 - 9*q**3)*(0 + 6 - 3)*(3*q + q - 2*q).\nAnswer: -54*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36*(-63)\/4536)\/(2\/(-12))*-27?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 70, 106, 142, 178?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 26*l - 34. Let f be d(10). Calculate the greatest common factor of 65 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1020 (base 3) to base 5\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2365, -2368, -2383, -2416, -2473, -2560, -2683, -2848?\n\"Answer: -j**3 + 4*j - 2368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.044 times 240144\nAnswer: 10566.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.25 - -2.25. Which is the nearest to -0.1? (a) -5 (b) h (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12420 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 11. Let n = -3.4 - i. Let u = 4\/7 - -23\/21. What is the nearest to -1 in n, -0.1, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 0*f**3 - 16*f + 15\/2*f**2 + 1\/2*f**5 + 0*f**4 + 0. Differentiate n(o) with respect to o.\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1336, 2687, 4038, 5389?\n\"Answer: 1351*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j**2 + j + 2. Let z(f) = 19*f**2 + 4*f + 6. Calculate -7*s(v) + 2*z(v).\nAnswer: -4*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mezmakzkmzqzekkze. What is prob of sequence akmz?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9781 times -49\nAnswer: -479269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 3, n: 5, u: 1, o: 2}. What is prob of picking 1 e and 1 i?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 52\/39 + 2\/(-6). Which is the nearest to -2\/7? (a) 5 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (74\/(-36) + 2)*(348\/(-12) + 3 - -6)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 8:55 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 8417?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -162.4 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -14.8. Let k = -1.1 + o. Let p = -10275 - -10321. Which is greater: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -113*m**2 - 1293 + 1293 + 360*m**6 wrt m.\nAnswer: 43200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8) + ((-17325)\/(-28))\/5. What is the common denominator of d\/24 - 5 - 322\/60 and -36\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1938\/5, -9, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 7 + 11. Suppose -3*h + g = -3*g + 21, -5*h + g - n = 0. Does 6 divide (h\/6)\/(2\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 11, t: 2, w: 7}. Give prob of sequence mm.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**2 - 4*f + 4. Let i be b(1). Suppose 9*r - 261 = i*r. What is the highest common factor of 29 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - 34*y + 34. Let p be z(1). Which is the third biggest value? (a) p (b) -5 (c) 1\/93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 17 = -2*n + 3*j, 5*n = 2*j + 28. What is the least common multiple of n and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + 0.8. Let s = 2.8 + -2.8. Which is the second smallest value? (a) s (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -2\/19 (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 1:07 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -233\/1092 + 5\/84. Let u be (6\/(-15))\/(2\/(-10)). Which is the third biggest value? (a) u (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*g**2 - 105996*g + 484992.\nAnswer: -3*(g + 5052)*(7*g - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/189734 and 73\/2.\nAnswer: 189734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29544, 63278, 101204, 143322, 189632, 240134, 294828?\n\"Answer: 2096*h**2 + 27446*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 9:31 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g + 168. Is g a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (-3 + 2*(1 + -1 + sqrt(117) + -1))**2 + 2).\nAnswer: -360*sqrt(13) + 2976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 33, 5*c - 45 = 381*r - 384*r + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - 2. Let d(y) be the third derivative of 0 - 1\/24*y**4 + 0*y - 1\/6*y**3 - 4*y**2. What is d(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 3 + 3)*(1 - 5 + 2) + 25 + 15 - 7 + 0 + 3 - 1)*(-2*n**2 + 2 - 2).\nAnswer: -74*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 91\/6, 0, -2\/11, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, 72, 234, 554, 1086?\n\"Answer: 9*l**3 - 2*l**2 + l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3023043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -o**2*p**2 + 2*o**2*p + 2*o**2 - 152*p**4 + 40 wrt p?\nAnswer: -2*o**2*p + 2*o**2 - 608*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*2)**2*-4*-6*-1.\nAnswer: -11232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1409*h - 1432*h = -4344*h + 1418*h - 6375 for h.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -59*l + 2*l**2 - 5*l**3 + 28*l + 29*l. Let u(y) = 4*y**3 - 3*y**2 + 3*y. Determine 3*p(k) + 2*u(k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10608 - -6?\nAnswer: 10615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48564 and 220100?\nAnswer: 37637100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2856.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 + 128 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 170, 606, 1332, 2348, 3654?\n\"Answer: 145*q**2 + q + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37204 - -37213. Solve -124 = y*b - 88 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2354 - 2349. Let l = -389\/5 - -78. Let p = 1.98 + 0.02. Which is the third biggest value? (a) l (b) m (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 51. What is the units digit of g(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**6\/30 + 7*h**4\/24 + 4*h**2. Find the second derivative of k(z) wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 4*o + 2*q, 3*o + 6*q - 9*q - 75 = 0. What is the remainder when 39 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -b + 2*w - 9, 4*b - 4 = -4*w. Sort 3, -9, 4, b in decreasing order.\nAnswer: 4, 3, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1002670?\nAnswer: 2, 5, 100267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*u + 79*u - 664 = 1604 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 + 218 = -175*k + 26*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1. Let i(z) = 5 - 6*z + 6*z - z**3. Let k(x) = -i(x) - 3*t(x). Let f(l) be the first derivative of k(l). Let o(g) = -g. Calculate f(o(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -43. Solve -4*z + z - x*q + 8 = 0, -2*q = 2*z - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -690, -986, -1152, -1122, -830, -210, 804?\nAnswer: 2278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326 = -38*u + 92. Calculate the remainder when u is divided by 0 + 0 + 10\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3793400 rounded to the nearest ten thousand?\nAnswer: -3790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmmskpkskqmdsddqm. Give prob of sequence dmsp.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 10, -21*q + 2*m - 20 = -25*q. Is 16*14735\/q - 6\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 - 30*v - 48. Let r be q(-13). Let m(y) = y - 2. Let l be m(4). Let t be l\/r*(-3 + 1). Are t and -2\/39 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1218)\/(-114) + -4 - 3\/(-24)*-56?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 135690.9 and 83.\nAnswer: 135773.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from cynkunyj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21717.\nAnswer: 3, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(2268)*6.\nAnswer: -432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*1*(1 - 4\/8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 266697207?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4502 and 8996.\nAnswer: 20249996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*s = -h + 15, -5*s + 25 = 3*h. Suppose h = 14*r + 9 + 5. What is the third smallest value in -5, r, 13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 9*i**4\/4 + i**2 + 4*i + 4. Is n(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -161 by -83.\nAnswer: 161\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 138669488 to the nearest one million.\nAnswer: 139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300144 and 145854.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -80, -179, -318, -497, -716?\n\"Answer: -20*y**2 + y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0, 260, -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -2\/85 (c) -4 (d) -2\/9 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 2:24 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*z + 3*t - 6, 0 = z - 4*t + 14. Suppose -z*c + 3*g = c + 12, -2*g = -4*c - 8. Solve 4 + c = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/10 + 12\/5. Suppose m - 2 = 5*z, -2 - 3 = -4*z + 3*m. Let d be (0 - z)*63\/9. Solve u*j + 25 = d*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.79319 months to centuries.\nAnswer: 0.078994325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 631961897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:57 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*w + 80*w - 12*w + (-4 + 5 + 1)*(-3*w + w - w) + 0*w + 17*w + 0*w in the form u + o*w and give o.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 3*w. Suppose w*s - 3*s = -111. Calculate the remainder when s is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/(345\/120))\/(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 87203497 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 23 + 0 = 3*x, 0 = -2*x + 3*j - 9. Let o be 4\/x + 17\/3. Let w(a) = 3*a - 5. Give w(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*u + 63*u = 719*u + 21168 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148323480 is divided by 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*n + 6 + n**2 - 16*n**2 - 6505*n**3 - 341*n**3 - 4*n + 3*n wrt n.\nAnswer: -41076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -2*f**3\/3 - 17*f - 11. Differentiate b(d) wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f = 4. Suppose -x + 66 = -3*x - f*n, -3*n = 0. Is (-1446)\/x - (-2)\/11 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -710.\nAnswer: -3\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6789*m - 3408*m - 3386*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -136226.4 minus -37?\nAnswer: -136189.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oulu. What is prob of picking 1 u, 1 o, and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 59 = 20*m + 4, u + 14 - 5 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17195 and 211128.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0 + 4*o**2 + 0 + 1 + 36*o**2. Let w(b) = -b + 5. Let r be w(4). Calculate the remainder when j(r) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 470600.5kg to milligrams.\nAnswer: 470600500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 7*c + 10. Let q be l(-8). What is the second derivative of 9*x - 3*x**2 - 16*x**2 + 0*x**q wrt x?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117073793 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*x + 31374 = 3418. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*3*(-5)\/975?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35 in 7.7, -2, 8, 1097?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26405.\nAnswer: 5, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 170, 248, 324, 398, 470, 540?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278 - 282 - 10*i + 111*i.\nAnswer: 101*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 2*c - 3140. Let x be f(0). What are the prime factors of (-6)\/(-21) - x\/35?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109253479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-48 + (-120194)\/(-2508))*((-36)\/30)\/(3\/2)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 - 0.6. Let y be ((-75)\/(-36) - 3) + (-44)\/(-66). Which is the biggest value? (a) -4\/13 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 - -48. Let d be 2\/7 + 2\/(-7). Sort d, -5, h in descending order.\nAnswer: h, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/123 (b) -0.02 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897 is divided by (820\/(-100))\/((-1)\/5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - sqrt(76)*-1*1)\/sqrt(4).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + 5. Let i = z + -32. Calculate the smallest common multiple of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g*z**3 + 11*g*z**2 - 103*g*z + 2*g + z wrt z?\nAnswer: 18*g*z + 22*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15594 = 13*f - 15983. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-20)\/t)\/t**19)\/(t**(-3)\/t*t\/(t*(t**20\/t)\/t*t)) assuming t is positive.\nAnswer: t**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 33*c**2 - 2*c + 121. Is t(-33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c. Let t be 4*(10\/(-8))\/(-1). Let o(d) = t*d - 4*d + d + 2*d. Calculate p(o(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 9:24 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 518 - 267. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k - 1. Let i be p(-1). Let r(c) = c**2 + 2*c - 3. Let a(y) = -y**2 - y + 2. Let s = 727 + -732. Determine i*r(u) + s*a(u).\nAnswer: 2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 50*t. Let z = 649 + -455. Let l = z - 192. Calculate the smallest common multiple of l and c(1).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221221000112101 - 1?\nAnswer: 221221000112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -0.1.\nAnswer: -0.1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5960 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j**2 - 3*j**2 - 2*j**2. Let p(c) = 4*c**2 + 0*c**2 + 2*c**3 - 2 + c**2. Suppose -3*l - 13 = 4*q - 6*l, -l = 4*q + 1. Determine q*p(s) - 5*x(s).\nAnswer: -2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -66834834.\nAnswer: 1\/33417417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, f: 2, j: 5}. Give prob of picking 1 a and 2 j.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*u + 60*u - 13*u + 3*u.\nAnswer: 150*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200818 and 4152398.\nAnswer: 128724338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + 4)\/(2\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*k = -2*n + 56, -224 = -4*n - 5*k. Let y = -30 + n. Let m(v) = 3*v - 4. What is the remainder when y is divided by m(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127*y**4 - 66*y wrt y?\nAnswer: -1524*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*k - 100900 + 107110 = 0 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/8*n - 5\/4*n**3 + 0*n**4 - 1\/2 + 1\/8*n**5 - 5\/2*n**2.\nAnswer: (n - 4)*(n + 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = -1. Let b(o) = 3*o - o + u*o. Let q(l) = 2*l. Determine q(b(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - -1 - 24\/4. Let c = -4 - q. Suppose -y + 0*y + 8 = c. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2037\/4 - -509. Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 452, 1009, 1788, 2789, 4012?\nAnswer: 5457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129735605*u - u**3 - 129735604*u + 346*u**3.\nAnswer: 345*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**4\/5 + 407296*m**3\/5 - 10365275512*m**2\/5 - 145173735168*m\/5 - 508177933956\/5 = 0. Calculate m.\nAnswer: -7, 50919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t + 1 - 2 + 8*t + 6*t in the form r + i*t and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 8 - 17)*(0*j + 2*j - 3*j)*(0 - 1 + 0).\nAnswer: -28*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-245))\/((-24180)\/(-30225))?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2659743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r + 0*r + 2 + 2*r - 3*r. Let l be 133\/21 - 2\/6. Suppose 1 + 3 = 3*s - 2*j, -4*j = -5*s + l. What is i(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*f = 962. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/5)*y*y*y*y\/(y\/y**(-8\/7)*y))\/(y*((y\/y**(-4\/17))\/y)\/y*(y**(5\/2)\/y)\/y) assuming y is positive.\nAnswer: y**(1097\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 31008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 - (-30)\/8. Suppose 2*m = -3*u + 10, m + 14*u = 19*u + 18. Which is the closest to -2? (a) -3\/2 (b) n (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -48*w - 50 + 47*w - 22*w. Let t be u(-4). Find the second derivative of -4*p**2 - t*p - 11*p**2 - 29*p**2 wrt p.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*-3*sqrt(10)*-1)\/(sqrt(8)\/(sqrt(36)\/(sqrt(18)\/sqrt(2)))).\nAnswer: -15*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2387 - 2384. Let n(y) be the second derivative of 5\/3*y**d + 3*y - 1\/4*y**5 + 0 + 0*y**2 - 5\/12*y**4. Factor n(v).\nAnswer: -5*v*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.189 - 0.011. Let u = r - 5.8. What is the smallest value in u, 0.4, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/8))**1\/(i\/(i\/(i*i**(1\/6))*i)*i\/(i*i\/i**(-9\/2)*i*i)))**(-28) assuming i is positive.\nAnswer: i**(-1211\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/7 (b) 3 (c) -0.4 (d) 1 (e) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101070 is divided by 100795.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 0*k**2 + 0 + 0*k**3 - 196*k + 1\/6*k**4. Let a(w) = -15*w. Give a(t(l)).\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3\/5 - 855926*a**2 = 0.\nAnswer: -4279630, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 189*n + 191*n = 119998, 0 = -5*v - 3*n + 119997. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10\/3 - 11\/3. Let m = 3.1 - 3. Which is the second biggest value? (a) 1\/4 (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180453 is divided by 206.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 0*h**2 + 0*h**5 + 13\/14*h**8 - 29\/6*h**4 + 0*h**3 - 30*h + 0*h**7 + 0*h**6 + 0. Find the third derivative of x(r) wrt r.\nAnswer: 6240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9845\/2 + -49229\/10. Which is the nearest to 0.2? (a) -2 (b) -108 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*q = -5, -32*d + 169*d - 4*q - 685 = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 743 + 2778 + 1679 = 130*d for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*s**4 + s**2 - s**3 - s**2 + s + 7*s**4 to q + b*s**3 + r*s**2 + x*s + p*s**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, 0.15, -0.3, 0.5?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -45, -4\/5 in increasing order.\nAnswer: -45, -5, -1, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*z - 338 + 952, -2*z = -4*u + 1212. Calculate the smallest common multiple of u and 228.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**3 - 23*h**2 + 14*h - 23. Let k(c) = -c**3 - 8*c**2 + 5*c - 8. Let b(s) = 11*k(s) - 4*w(s). Give b(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -347 + 3579007\nAnswer: 3578660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 347? (a) -66 (b) -2\/5 (c) -0.45 (d) 0.5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, 4, -0.1, 41 in increasing order.\nAnswer: -6\/7, -0.1, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -965657*a**5*j + 136*a**5 + 411*a**2 + 38098*j wrt a?\nAnswer: -57939420*a**2*j + 8160*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*o + 34*o**4 - 33*o**4 - 287*o**2 - 19*o - 2 + 5*o + o**3 to the form j + s*o**4 + i*o**2 + v*o**3 + f*o and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 + 5*b. Let t(a) = -8*a**2 + 14*a. Let h(c) = -14*q(c) + 5*t(c). Let j(i) = 1248 - 642 - 3*i**2 - 606. What is j(h(v))?\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 28380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21490 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 95 = -4*i - 155, 175 = -3*i + s. Let a = -58 - i. Solve -4 = -6*n + a*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -9*r + 184. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 1943 + 353. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 23*c - 120 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 16*s - 18. Let d(a) = -3634*a**2. What is y(d(l))?\nAnswer: -58144*l**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -350662836*d**2*i**3 - 167*d*i**3 + 378*d*i**2 - d*i - 12*d - 6*i**3 wrt d.\nAnswer: -701325672*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 = -4*v + 10, 0 = -5*v - 2*g + 26. Solve v*r = 11 + 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*a**3 + 18138*a**2 - 1095171*a - 175692.\nAnswer: -3*(a - 121)**2*(25*a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 12*c + 22. Calculate a(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m**3 + 61*m**3 - 54*m**3 - 29*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*l + 128*l = -106*l - 725 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 + 362\/5. What is the biggest value in -0.3, 5, w, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*g + 1)*(-1 + 2 - 3)*(g**3 - 1 + 1).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 30 = 5*a, -11 = -3*a + s - 0*s. Solve -5*m + 22 = -3*o, -a*o + 3 = 2*m - 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121472019?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104 - -25?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 5*q - 10, -2*q - 5 - 11 = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**5\/60 - p**3\/3 - 4. Let t(f) be the third derivative of x(f). Let q(y) = y. What is t(q(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 - 46. Suppose 3*b - 126 + 39 = f. What is the remainder when 317 is divided by b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147484 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 13 = -v, 3*v + 2*v = 3*p + 30. Let q be 10 - 6 - (-26)\/(-6). What is the third smallest value in -4\/3, q, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1186040*c - 6003 = 1185953*c for c.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3\/5 + 2552*k**2\/5 - 1762362*k\/5 = 0.\nAnswer: -1773, 0, 497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 10 = 4*l, -5*q - 2 = -3*l + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/16625 and -67\/75603375.\nAnswer: 529223625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*f)*(2*f - 3*f + 0*f) + (-817*f + 34*f**2 + 817*f)*(7 - 10 - 9).\nAnswer: -406*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -1\/4 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 - -3 - -209) + (80 - 89). What is the highest common divisor of 64 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4447243803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*6\/(-36) - 4. Let o be w\/(18\/12) - (1 - 3). Suppose 4*j - 5*b + 21 = 0, b + 2*b + 9 = -3*j. Sort 1, 4, j, o in increasing order.\nAnswer: j, o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 219046?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.3 (c) -6\/13 (d) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -136 + 142. Suppose 0 = -2*k - 233 - 197. Let g be k\/(-45) + 2\/9. Solve -19 = g*q + l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -282, 0.2, 2 in increasing order.\nAnswer: -282, 0.2, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7609017 divided by 3.\nAnswer: 2536339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1420 - 1409. Solve w*f - 2*f = 36 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*t + 8*t + 3*x, -3 = -2*t + 3*x. Let c(d) = 2*d**2 + 11*d - 12. What is c(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2154899?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 40. Let z be p\/(-2*1\/(-4)). Solve 0 = -2*w + 2*x, 3*w = 2*w + z*x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -67, -87?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -10*x**3 - 5*x**2 + 2*x**4 + 4*x**3 + 2*x**2 - 3*x - 8*x**2 + 6. Let q(t) = -t**4 - t - 2. Let h(y) = k(y) + 3*q(y). Find g such that h(g) = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, x: 1, s: 2}. Give prob of sequence nn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3 - y**2 - 3*y - 1 - 4. Let w(n) = -n - 1. What is b(p) - 4*w(p)?\nAnswer: -p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2963? (a) -0.4 (b) -12 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -100, 158, 706, 1556, 2720, 4210, 6038, 8216?\n\"Answer: 2*g**3 + 133*g**2 - 155*g - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -837.8049126 to 2 decimal places.\nAnswer: -837.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 greater than -4720\/133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**2 - 16*b + 180. Determine v(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.7855506706 and -0.1589.\nAnswer: -4.9444506706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31.5 + 39.5. What is the second biggest value in x, 2, -0.06, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.39220633 to three decimal places.\nAnswer: 31.392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 7296*u - 1. Let a(x) = 24*x. What is w(a(d))?\nAnswer: -576*d**2 + 175104*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 900 (b) 6 (c) 0.0581 (d) 4 (e) -0.5 (f) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -6, -17, -4\/7, -2 in descending order.\nAnswer: -0.5, -4\/7, -2, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 103544568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -298*w + 1219. Let k be n(4). Solve 31*t - 15 = 5*z + 36*t, -z + 5*t + k = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*t - 0*t - z, 0 = -3*t + z - 3. Suppose t = -7*u + 2*u + 30. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -18. Calculate the greatest common factor of 128 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 49\/1 - (4 - 5). Suppose 100 + n = 5*q. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 3*y**2 - 3*y + 1. Let c(l) = -l**3. Let i be 10\/12 - (-8)\/48. Let n(r) = i*v(r) + 2*c(r). Calculate n(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.363529 decades?\nAnswer: 43.62348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 88930107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from llllllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(4\/5)*h*h\/((h*h**6\/h)\/h)*(h\/(h**(-4\/7)\/h*h))\/h**(-1\/5) assuming h is positive.\nAnswer: h**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 183 = -15. What is the remainder when 166 is divided by t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -7 (b) -1\/2 (c) 0 (d) -18301\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c + 8 = 19*c - 3*j, 2*c - 2*j - 6 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100 (base 4) to base 13.\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181836 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**1*z**(1\/7)\/z*z**(-3\/5)*z**(-9) assuming z is positive.\nAnswer: z**(-331\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*r + 8919 - 8807 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2730\/(-5628))\/(-13)*(-32)\/(-40).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 84 and -0.84.\nAnswer: 83.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + 0*b + 2*b)*(44 - 94 - 53*b + 28 + 29) to i*b**2 + o*b + a and give i.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3227*r**3 - 329*r**2 - 104379*r + 16 wrt r.\nAnswer: 19362*r - 658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 10. Which is bigger: 0.08 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 23*z + 3 + 7 in the form n*z + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 5*f**2 - 17*f + 1. What is the remainder when 31 is divided by t(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -192\/46069 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a - 16*a - 16*a - 11*a - 3779*a**2 + 3777*a**2 - 10*a + 64*a.\nAnswer: -2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (71*z + 193 - 193)*(-15*z**2 + 63*z**2 + 43*z**2) to m*z**2 + l*z**3 + g*z + i and give l.\nAnswer: 6461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 2*v**2 - 4 + (3*v + v - 3*v)*(-3*v + 2*v + 2*v) + (-3 + 5 - 3)*(-5 + 7 + 3)*(-v**2 - 9*v**2 - 6*v**2).\nAnswer: 79*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z + 10 = 0. Find the third derivative of -z*j**4 + j**2 + j**4 - j**3 + j**3 wrt j.\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3231.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - y**2 - y. Let p(a) = a**3 + 14*a**2 + 15*a - 3. Let z(c) = -2*h(c) - p(c). Let g be z(13). Solve -2*r + 14 = -3*w, -g*w - r = w + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 3. Let u = 119 + -119. Suppose -3*a - 16 = -r, 5*a - r + 28 = -u. Determine h(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0473 in 5, -2\/15, -56, 3\/16?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**4\/7 + 6078*n**3\/7 - 251906*n**2\/7 + 2017074*n\/7 + 1211760 = 0.\nAnswer: -3080, -3, 17, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 1\/3, 7\/10, 1, -75, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, q: 2, m: 1, o: 3, t: 1, b: 3}. What is prob of picking 1 i and 3 b?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 4. Let r be f(4). Let p be 4*(13\/2 + -3). Let n = p - r. Solve 0 = -h - n*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + 1 + (sqrt(1088) + -4*(sqrt(1088) - (1 + sqrt(1088))))**2 + 3) + 0.\nAnswer: 320*sqrt(17) + 5525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.14 + -6. Let b = r + 0.86. Which is greater: b or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4467 and 3032?\nAnswer: -1354.3944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-8) - 0)\/(1 - 3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14496434 - -14495711.98364. Let s = c - -722. Round s to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*f**2 - 4*f**2 + 4*f**2 to t*f + i*f**2 + s and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 12, -3302*m = -5*b - 3300*m + 111 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-332)\/747)\/((-70)\/45)*14\/(-8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 16.93. Let z = m - 0.07. Let o = 1 + z. What is the second biggest value in o, 0.05, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -51779158?\nAnswer: -25889579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**3 - 4*t - 5. Let x be h(-1). Solve 4*p - 3 = 3*n, -x*p + 0*p + 3*n = -3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 2. Find the common denominator of 1 + (3 - (-97)\/d) and 2 + -24 + 6\/(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173 a factor of 131090109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 - (-7)\/2. Let o(z) = 7*z + 11*z - 6*z - 2 - z. Is o(h) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 t, and 1 x when three letters picked without replacement from bfjxttf?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.41 and 405138.930064.\nAnswer: 405138.520064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 91 - 91)*(222 - 149 - 197 + 0 + 1 - 2 + (0 - 2 + 3)*(-1 + 1 - 1) + 3 - 2 + 0) in the form a + s*m and give s.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 3*z - 7. Let d(g) = -g + 1. Let t(k) = -b(k) - 5*d(k). Let q be t(-2). Suppose 12 = q*v + 4. Solve 3*n - v*h = 2, -2*h = 2*h - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12629627?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4848879.\nAnswer: 3, 7, 73, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -30890 - -30889. What is the closest to r in -5, 0.1, 589?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**10\/151200 - i**9\/60480 - i**5\/15 - 4*i**2. Let j(t) be the third derivative of d(t). Determine l, given that j(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390468 and 234.\nAnswer: 1171404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105554 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 + 7. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, 1\/5, -0.071, -1.3, -8 in increasing order.\nAnswer: -8, -6, -1.3, -0.071, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9 - 3 + 2 - 2*u. Let z be i(2). Suppose 2*t - t - z*m + 3 = 0, 3*t + 2*m + 9 = 0. Let s(y) = y + 1. Let h(f) = -2. Determine t*s(b) - 2*h(b).\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 + 11. Which is bigger: 0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 5 = -5*n. Let f be (n\/(-20))\/((-63)\/(-35)). Let r = 2.4 + -2. What is the smallest value in f, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261038508 = -130*f + 558*f + 83995880. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -9. Is 2879\/5*(c + 11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17772143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 259336 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -4*y + 5*n, -5*y + 10 = -0*y + 4*n. Let i be (6\/75)\/(1\/10). Sort -0.4, i, y in decreasing order.\nAnswer: i, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.58*-2\nAnswer: -3.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/(-20)*(-1)\/(6\/4). Let d be 1\/((1 + -4)\/(-9)). Suppose 5 = d*h - s. Solve 2 = -h*c - k, -4*c - 3*k + 0 - 8 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -195, -380, -559, -732, -899, -1060?\n\"Answer: 3*x**2 - 194*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2103 + -1310000001?\nAnswer: -1310002110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 249005251 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 0*w**3 + 1\/10*w**5 - 3*w**2 + 0 - 3*w + 0*w**4. Differentiate z(t) wrt t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1715*-2860\nAnswer: -4904900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2 = 622. Suppose -44*t - b = -49*t. Calculate the remainder when (-2)\/(-4) - (-183)\/2 is divided by t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 8727?\nAnswer: -8727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22927.1*5.\nAnswer: 114635.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(637))**2 + 1.\nAnswer: -14*sqrt(13) + 639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -14*n**3 + 460084*n**2 - 1445846*n + 197160 = 0.\nAnswer: 1\/7, 3, 32860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1624, 1626, 1628?\n\"Answer: 2*p + 1622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f (base 16) in base 2?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*o**2 + 8*o**3 + 12*o**2 + 5 with respect to o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3101*v = -1626*v - 23600 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11209 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (-1 - (-24)\/(-6)). What is the remainder when 101 is divided by (-22)\/(-55)*(-1 - (b - 17))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 o, and 1 k when three letters picked without replacement from {i: 4, k: 4, o: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feffffffeffff. What is prob of sequence ffef?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 - 9*s - 4. Let w(n) = n**3 - 57*n**2 + 471*n - 14. Let k be w(10). Let c(l) = l**2 - l + 1. Determine k*c(h) - r(h).\nAnswer: -h**2 + 13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4, 117, 432, 1051, 2076, 3609?\n\"Answer: 17*y**3 - y**2 - 3*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*r**2 + 27797703*r - 9265902 = 0. Calculate r.\nAnswer: -3088634, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-8)\/1)\/((-2)\/7) is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arzzlaa. What is prob of picking 1 r, 1 a, and 1 l?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5 + 1 = 4*b, 5*b - 4*c + 8 = 0. Sort 6, b, 3, 5 in ascending order.\nAnswer: b, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*2\/6*-3*-41. Find the third derivative of -9*d**2 - 21*d**2 + d**2 + 43*d**4 + c*d**4 wrt d.\nAnswer: 2016*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 10*w + 17. Calculate y(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 2*r**2 + 7*r**2)*(3 - 3 - 1 + 1 - 5 + 0 - 2 + 4 - 3 + (1 + 2 - 1)*(1 - 2 + 0) + 0 + 2 - 1 - 4 - 1 + 6 - 3 + 4 + 1).\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5166 - 5119. Solve -b = -p - 43 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3549*f + 49870. Determine d(-14).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 38*j**2 + 8*j - 5. Let i be t(-3). Let s = i - 308. Solve 5*u - 40 = 5*r, -4*u + 2*u + s*r = -28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 0 + z + 1\/3*z**4 - 3\/2*z**2 + 1\/2*z**3 - 1\/20*z**5. Is h(4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8311 + 16628 - 8317 - 91*s**3.\nAnswer: -91*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14547312 divided by 186504\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -592*r - 579*r + 1193*r.\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 - -3.05. Let r = z - 2.9. Let y = 336.3 + -336. Which is the closest to -1? (a) r (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000038525 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 892.3794m in nanometers?\nAnswer: 892379400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 614 or -534?\nAnswer: -534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -3, -189, -18, 159 in ascending order.\nAnswer: -189, -18, -5, -3, 2, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221261040 and 1560.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271185.21 months to millennia.\nAnswer: 22.5987675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**4 - 3201616*i**3 - 2*i**2 + 10645790*i wrt i.\nAnswer: -12*i**2 - 19209696*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 225*i**4\/4 - 10*i**3 + 2*i**2\/3 - 2*i - 77. Let r(b) = 0. Calculate b.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/2))**19)**(-6)\/(h**(2\/5)*h*((h*h*h\/(h\/(h*h\/(h*h\/h**(-1\/4))*h))*h*h*h)\/h)\/h*(h\/(h\/(h\/h**1)*h))\/h**3) assuming h is positive.\nAnswer: h**(-1163\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 23 * 0.187105\nAnswer: 4.303415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + r = -0*r - 3568, -4*r - 10708 = -3*t. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00052787 rounded to 5 decimal places?\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.223766 decades?\nAnswer: 0.09223766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -40, -60, -84, -112, -144?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 371\/6. Let m(v) be the third derivative of 0 - 1\/24*v**4 + 7*v**2 - r*v**3 + 0*v. Let u(c) = -2*c - 1. Calculate 3*m(y) - u(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2714 divide 1130672822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 - 1013 = -104*u + 66*u for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 + -66. Put 3, -3, t, 5 in decreasing order.\nAnswer: 5, 3, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3504\/91, -1\/2, 0.4, -211 in ascending order.\nAnswer: -211, -3504\/91, -5, -1\/2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -4*h - 5, 3*h - 2*h - 4*q + 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g + 2. Let a be 0 + g + -2 + 0. Let n = -6243 - -6242.7. What is the nearest to a in 0, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**4 + 4315*g - 4285*g - 3 - g**2 - 2*g**3 + 4 to the form x*g**3 + y*g**2 + m*g**4 + v + j*g and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -410424243?\nAnswer: 410424241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 45*a - 48*a + 2930385, -3907188 = -4*a + 4*w. Round a to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/8, 12, 5, 0.1, 20?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11*r**3 + 6*r**2 - 6*r + 7. Let d be a(-6). Let t = d + -308297\/117. Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3 + 338184*y**2 + 2705616*y + 5411328 = 0. What is y?\nAnswer: -4, 112736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -1\/48*y**4 + 0 + 1\/42*y**7 + 0*y**2 + 1\/16*y**5 + 3*y - 1\/15*y**6 + 0*y**3. Let i(b) = 0. Calculate b.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 4 - 4)*(1 - 8 + 1) - u + 0*u + 0*u + (-1 + 5 - 2)*(0*u + 0*u + 2*u) to the form z + f*u and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n - 4. Calculate m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 3:37 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -1 - 2) + -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 116a04 (base 15) in base 13?\nAnswer: 231c0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/10 and ((-292)\/(-16) - 2) + -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**3 + u**3 + 7*u**3 - 3*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 652*y - 182. Let m(g) = 9121*g - 2546. Let l(j) = -86*f(j) + 6*m(j). Find the first derivative of l(z) wrt z.\nAnswer: -1346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 116*l**2 - 47*l - 4. Let w(v) = -v - 1. Let k(h) = c(h) - 4*w(h). Find the second derivative of k(t) wrt t.\nAnswer: 232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9843 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 240 - 238.27. Round w to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2865.712 - -6.0892?\nAnswer: -2859.6228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5322083\/170 + 442977\/17. Let f = a + 5237. Calculate the common denominator of 73\/4 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x + 9*x - 5*x + (1 - 1 - 2*x)*(-3 - 2 + 2))*(0 + 0 - 2)*(x + 3 - 3).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 577840921 by 41.\nAnswer: 14093681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212220 - -20211021002?\nAnswer: 20201101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 18929397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/12 and (-36)\/90*890\/(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*sqrt(5)*1.\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -i + 6, -5*c + 18 = 4*i - 6. Suppose -741 = -3*o + i. Let f = o + -172. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3105334 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 32\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 6*s**2 - s + 3. Let f(h) = -h**2 - 1. Let g(b) = 2*f(b) - q(b). Let c be 2\/6 + (-22)\/(-6). Determine g(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 8 - 3*w**2 - 8 + 2*w + 3*w to the form h*w**2 + q + y*w and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 8. Let k be (-1)\/p + (-13)\/(39\/(-40)). Let b(r) = r**3 - 12*r**2 - 8*r - 28. What is the remainder when b(k) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11\/2)\/(10\/20). Suppose i = 5*o - 134. Calculate the highest common divisor of 29 and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043397 to the power of 1\/2, to the nearest integer?\nAnswer: 1745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-3 - (-9 + -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26568 divided by 648.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 2*c + 1. Let f be t(-1). Let y be ((-1)\/(-2))\/(9\/(-6)). What is the closest to f in y, -5, -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-128)\/10*(180\/(-8))\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 13)*2\/(-4). Suppose v*w - 3*w = 176. Suppose t + 4 = w. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**6 + 33*f**4 - 22765*f**3 - 75899576*f**2?\nAnswer: 360*f**3 + 792*f - 136590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19388*j + 77570*j - 19388*j - 19395*j - 19393*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*v**2 + 0 + 227*v**2 - 446*v**2 + 50.\nAnswer: -v**2 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2. Suppose 4*s - 117 = -93. Let n(y) = s*y + y + 51 - 51. Give n(z(c)).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -17338*n. Let k(c) = 5*c. Determine k(o(p)).\nAnswer: -86690*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m + 2. Let q(p) = 7 - 9319*p - 9327*p + 27962*p - 9293*p. Suppose -89 = -5*y + 21. What is y*l(h) - 6*q(h)?\nAnswer: -6*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 5 + 5*l**2 + 0*l**2.\nAnswer: 5*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-480)\/(-360)*5\/70?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10)\/40*(-74)\/(-8) and -99\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1063566\/756)\/367*-18?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497 is divided by 81.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5 + 0 = 0. Let t be (-5)\/20 + r + -1. Which is the smallest value? (a) t (b) -5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -5*o + 10, -14*o + 17*o + 2*a - 21 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**7\/1260 - g**6\/240 - g**5\/120 - g**4\/144 + 7*g**2. Factor z(m).\nAnswer: -m*(m + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 10*j + 5. Let a be r(-10). Suppose 5*f = 3*y + 12, a*f + 3*y = -y + 19. Suppose -f*d + 418 = 4*v, -v - 2*d - 3*d = -113. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -4*z + 2*v + 19, -6*v = 3*z + 42 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7367.097 years in decades?\nAnswer: 736.7097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 558 and 24552.\nAnswer: 24552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13876061?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(704))*4)**2.\nAnswer: -512*sqrt(11) + 11328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -181*x**3 - 1 + 6*x**4 + 180*x**3 - 62*x**2 + 2*x**4 - 15*x**2 as u + j*x**2 + k*x**4 + v*x**3 + q*x and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-355)\/((-11715)\/726) + -150?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 72*d - 4. What is g(5)?\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1416 and 68145.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696268 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 7 + 0)\/2. Let c = -1 - 0. Let i be 1 + (c + 2)*1. Solve p*b - 10 = i*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 923 by -924.\nAnswer: -923\/924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2. Let z(m) be the third derivative of -m**7\/280 - 3*m**5\/10 + 14*m**2. Let o(a) be the third derivative of z(a). Determine o(n(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3437*a**3 + 3166*a**2 + 4*a + 2387411 wrt a.\nAnswer: -20622*a + 6332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = 3*t - 34 + 12. Put t, -3, 562 in descending order.\nAnswer: 562, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54 - 4?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50532969 is divided by 3170?\nAnswer: 3169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 3681?\nAnswer: 3668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*n - 850, 4*n = 5*m + n + 4335. Let v be m\/(-7)*63*32\/432. Calculate the highest common factor of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*m + 3*m**2 - 2*m**2 + 53*m - 26 + 13*m + 44*m.\nAnswer: m**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 3*j + 3*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x + 32. Let v be u(6). Let s be v\/(-2 + 4)*241. Let f = s - 143. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53911 - 53907. Suppose 5*p = 6 + 9. What is the remainder when v is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 1 + -3 + 4. Suppose 2*k + a*k + 10 = 0, 4*d + 2440005 = -k. Round d to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 5*k - 2. Let h be q(-4). What is the third derivative of -5*i**2 - 21*i**4 + 23*i**4 + i**h wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6003*n**2. Let p(v) = 2*v**2. Give i(p(z)).\nAnswer: -24012*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3670161\/92 + -39894. What is the common denominator of k and -97\/36?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 3*g**5\/20 - 11*g**4\/12 - 22*g**2. What is the second derivative of f(d) wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174388148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2296, -2298, -2304, -2314, -2328, -2346, -2368?\nAnswer: -2394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*y = -509, -5 = -4*y + 3. What is the remainder when a is divided by 50?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (-11 + -3)\/1. Calculate the greatest common factor of 99 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.85863 centuries in decades?\nAnswer: 48.5863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147949591?\nAnswer: 281, 526511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -654 - -2670?\nAnswer: 2014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -5*r + 69. Calculate the remainder when r is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c8c1 (base 13) in base 4?\nAnswer: -12303201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107*t**5 - 771*t**3 - 2*t**2 - 10*t - 17109.\nAnswer: 2140*t**3 - 4626*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 4 (b) 68\/37 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21820)\/(-34912) + (2\/8)\/((-6)\/(-1881)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20844526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 87?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -3\/121091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g + 1. Let o be w(2). Suppose -9*h + 18 = -0*h. What is the second derivative of 6*k - 3*k**3 + o*k**5 - h*k**5 + 3*k**3 wrt k?\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/5 - 94\/(-10). Suppose -g*r - 106 = -856. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3 = -0*f. Let j be (-2)\/f - (6 + 2). Let a(s) be the first derivative of -s**4\/4 - 5*s**3\/3 + 5*s**2\/2 - 3*s + 31. Determine a(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*k - 0*p - 34, 0 = k + p - 15. What is the remainder when 35 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17\/2 + 10. Factor 1\/2*g + s*g**3 + 0 - 3\/2*g**2 - 1\/2*g**4.\nAnswer: -g*(g - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 4*d - 2. Let f be x(-6). Suppose 5 = 5*m - f. Are m and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**5\/240 - 11*j**4\/48 + 121*j**3\/24 + j**2 + 146*j - 186. Let f(i) be the second derivative of p(i). Solve f(m) = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171721, 171720, 171721, 171724, 171729?\nAnswer: 171736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -101 - -176. Let k be (-264 - 0\/2)*(-100)\/q. What is the highest common factor of 44 and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**3 + 2*r**3 - 10*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*o**3 - 3*o**3 + 20*o**3)*(-1 + 3 - 4)*(2 - 2 - 1).\nAnswer: 62*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 263 (b) -1\/4 (c) -9.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(98) + (sqrt(98) - (-2 + sqrt(98))) - -3*sqrt(8)) + -2 + -5 + 1 + 5.\nAnswer: 2 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62832 or 8230902\/131?\nAnswer: 8230902\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 5. Let w be (-40)\/32*(-8)\/2. Let s be r(w). Solve b + o + 6 = s, o + 4 = b - 0*o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20255695.\nAnswer: 5, 4051139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118639, 118635, 118631?\nAnswer: 118627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4461?\nAnswer: 3, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 21*w**5\/5 + 20*w - 33. What is the first derivative of y(i) wrt i?\nAnswer: 84*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f - 7*f + 6*f**3)*((3 - 3 - 1)*(1 + 3 - 5) - 18 + 3 - 5 - 3 + 5 + 0).\nAnswer: -102*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(1216)) - sqrt(95)\/(sqrt(320) + (sqrt(320) - sqrt(320)*-3) + sqrt(320))) + -2.\nAnswer: 3 + 1919*sqrt(19)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -608*f**3 - 1947*f**2 - 7424*f. What is the derivative of n(h) wrt h?\nAnswer: -3648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**2 - 61*p + 3. Let d(j) = 6*j**2 + 125*j - 6. Let f(y) = -2*d(y) - 5*k(y). What is the units digit of f(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -33*q + 8. What is v(-1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 25. Which is the closest to -0.1? (a) i (b) 0 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**3 + 20686626*r - 20686626*r - 8*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 274309641 and 9148.\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -56 * 4\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*l - 4277 = -408*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 579527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, w: 5, j: 4}. What is prob of picking 1 q and 1 j?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43055*x**4 - 15188?\nAnswer: 172220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10203 + 23?\nAnswer: -10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6738*u + 6742*u - 3 - 13471*u. Give p(5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3741548107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 - -18. Suppose -58*i = -j*i + 415. Suppose 7*g - i - 162 = 0. Is g less than 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 2*f + 2*f. Suppose 4*s + 3*l - l = 88, 0 = s + 4*l - 43. Solve s = -4*j + 4*g + 3, 0 = -4*j - 3*g - f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -982, -1983, -2992, -4015, -5058, -6127, -7228, -8367?\nAnswer: -9550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 565*h + 3*h**2 - 1129*h + 568*h + 38.\nAnswer: 3*h**2 + 4*h + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21367543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 6*g + 1. Let r(b) = b**3 + 7*b**2 + 7*b + 1. Let c be r(-6). Let i be o(c). Suppose i*s - 10 = s. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132937528 divided by -1528\nAnswer: 87001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 1. Let h be l(-2). What is the remainder when (-3 - 1 - h) + 28 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 12*b**2 + 47*b - 3. List the prime factors of o(26).\nAnswer: 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 5 - c)*(-3 + 3 - 2).\nAnswer: 2*c - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 7. Let v = -4 - c. Let a = 2 + v. Is 0.1 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -144*q**3 - 314*q**2 - 160*q. Let a(o) = -o**4 - 571*o**3 - 1256*o**2 - 641*o. Let y(h) = 2*a(h) - 9*v(h). Factor y(t).\nAnswer: -2*t*(t - 79)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/8 + 7\/(-2). Let l = n - -13. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33.47 - 33.97. What is the second smallest value in o, 0.03, 3\/7, 2\/19?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -616b13 (base 12) to base 10\nAnswer: -1525695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -125ea26?\nAnswer: 125ea25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**5 + 172*n**4 + 1264*n**3 + 1216*n**2 - 5120*n - 7616 = 0.\nAnswer: -34, -7, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, d: 10, z: 4, g: 1}. Give prob of picking 2 z and 1 i.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16676849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04171397 to 5 dps.\nAnswer: -0.04171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjojoooojooojojoooo. Give prob of sequence jj.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -137*m + 14532 - 5079. Calculate the greatest common factor of m and 423.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, c: 1, n: 2, r: 1}. Give prob of sequence rn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-3 + 6)\/(4 + -5). Let z be v\/(-2) + (-6 - (-15)\/2). Suppose -5*p - 1 + 21 = 0. Solve -z*y = -p*y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 22*k + 2 = 0. Which is the closest to -0.1? (a) -2 (b) k (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 0)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, -5, -34?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -269302, -2154412, -7271142, -17235304, -33662710, -58169172, -92370502?\n\"Answer: -269302*c**3 + 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 62 = n + 3*n, -2*o - n - 79 = 0. Is 523\/8 - o\/(-112) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -o, 0 = 2*s + 3*o + 22 - 37 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -3)*(-5)\/10. Let h be 0\/(-3 + u\/(-4)). Suppose -3\/5*v**2 + 0 + h*v = 0. What is v?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {d: 1, b: 3, o: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 107, 139, 191, 263?\n\"Answer: 10*a**2 + 2*a + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871927 is divided by 290608.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 - 59. What is the highest common divisor of h and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c - 4. Suppose 3*y - 7 = r, 3*y + 5*r = -y - 16. Let t be 3*y*3\/(-3). Let g be v(t). Solve g*j + 2*z = 5, 0 = 2*j + z + 2*z - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1576*g = 1564*g + 88 - 16. Solve -17*v - g = -57 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1025843280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.2 + -7.19. Let d = -2 - -1.89. Let k = b + d. Which is smaller: 0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in 0, 3, 2\/19, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 29*r**2 - 4*r + 1. Let z(y) = 57*y**2 - 9*y + 3. Calculate -5*w(j) + 2*z(j).\nAnswer: -31*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5358 is divided by 148.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.721 + -0.521. Let v be (-372)\/(-9)*38\/(-5). Let i = 314 + v. Sort p, 6\/5, i.\nAnswer: i, p, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (195\/5200)\/(1 + (-2698)\/(-24) + 1) and -7\/4?\nAnswer: 27460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 136 = 4*n, 0*n - 2*t = -n + 39. What is the remainder when n is divided by 820\/41*(1 - 2\/8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*z - 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3781 and -0.04109770277.\nAnswer: -3781.04109770277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 122*v**3 + 5*v**2 + 331.\nAnswer: 366*v**2 + 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6765.98 from -18611.\nAnswer: -11845.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-96)*4*-12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/16 - 16\/((-896)\/(-231)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (4 - 7 - -1) - 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 179.7 - 160. What is w rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/59 and 35\/63394?\nAnswer: 3740246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -3, -0.3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 7:30 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -5. Let p be 58\/(-4) + 1\/2. Calculate the remainder when (-175)\/p*(-12)\/(-10) is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -115274c - -1?\nAnswer: -115274b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 176 = -4*r, -x + 3*x - 148 = -5*r. Let t be 15\/(-280)*4 - 3608\/(-112). What is the highest common factor of t and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1449185497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 (base 8) in base 3?\nAnswer: 102100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -11 + 2 + -4 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8\/7, -0.02, 0.19, 0.6, 0.06?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49\/3 - -15. Let j = -72\/205 - 2\/41. What is the third biggest value in l, 2\/5, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111c (base 14) to base 3.\nAnswer: 11001212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1490, 11615, 38984, 92219, 179942, 310775, 493340, 736259?\n\"Answer: 1437*d**3 + 66*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -2*x + 2*s, 2*s = 2*x - s + 67. Let v be (12\/10)\/(-3)*x. Suppose 16 = 5*r - v. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11800000 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 30697.59\nAnswer: -30691.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 812747.6165036 + -812699. Let b = -52.6165 + s. Let u = 4 + b. Round u to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 + -32. Is b at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 - 40*v**3 - 5*v**2 + 340*v - 420.\nAnswer: 5*(v - 7)*(v - 2)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 1 - 4\/10. Let z = 5472.5 + -5472.4. What is the biggest value in 1\/6, 3, m, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.09, 0.2, -6, 5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 13. Let k be r(-9). Suppose -k*m - 5*p = 126 - 642, 3*m - p - 406 = 0. What are the prime factors of m?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*g - 141 - 15 = 0, -2*h = 2*g - 78. Suppose 5412 = h*v - 27*v. Calculate the greatest common divisor of 22 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 - 0.59. Let c = o - 1.4. Let a = 1.8 + c. Which is bigger: 2\/9 or a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*t = -16, 5*f + 5*t - 7*t - 5 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*(a**(-23)*a)\/a)\/a**(-20) assuming a is positive.\nAnswer: 1\/a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1226 and 8.\nAnswer: 4904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrq when three letters picked without replacement from gqgkqqqgkqqqgkkrkkg?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.846 - -1.046. Let t = -1 - -1. Which is the second smallest value? (a) t (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 6*(-2 + (sqrt(180) - (sqrt(180) + 0) - sqrt(180))*-3)*2)*3)**2.\nAnswer: -89424*sqrt(5) + 2104281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -53*h + 406. What is the units digit of v(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 274246*h + 1096977. What is f(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65221550257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g = -4*t + 16*g + 5676, 5*t - g = 7089. Is 52 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 135016 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-6)\/27)\/(466\/7689).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.474 + 17.574. What is the closest to t in 2\/29, -2\/9, -113?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/1*(-480)\/1440.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 2396374.\nAnswer: 9\/1198187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**3 + 3*k**2 + 123. Let l(v) = v**3 - v**2 - 41. Give -2*h(d) - 7*l(d).\nAnswer: -d**3 + d**2 + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2880\/144)\/((-4)\/24*4) + -8?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421 = -l - 30. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/11 in 53, -10, -1\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 459473?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8368641.\nAnswer: 3, 17, 83, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k\/k**(-1\/5)))\/(((k*k**(-3\/4))\/k)\/k))**(2\/15) assuming k is positive.\nAnswer: k**(31\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37421*r**4 + 24056*r.\nAnswer: 449052*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.461 and -4.71.\nAnswer: -2.17131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 q, and 1 c when three letters picked without replacement from {w: 1, q: 2, d: 10, c: 3, u: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2636*g + 626*g - 155*g)*(-4*g - 2 + 5*g + g).\nAnswer: -4330*g**2 + 4330*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**6\/120 + g**5\/20 + 7*g**4\/24 + g**3 + 2*g**2. Let t be s(-4). Suppose -69 - t = -3*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 19639?\nAnswer: 19636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-16))\/((-12)\/(-1104)*23). Let t(y) be the first derivative of -2 + 6*y + u*y**2. Calculate t(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*l = -4, l + 4*l - 5 = v. Suppose 5*h + 0*a = -4*a - 780, -5*h - 780 = -5*a. Let k = h - -1095\/7. Which is bigger: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*m - 11 = 0, -5*u - 40*m + 41*m = 17. Suppose -2*x = 5*d - 40, 3*x - 37 = 2*d + 2*d. What are the prime factors of 681\/x + u\/10?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165.74*1587\nAnswer: 263029.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2 + 5*g - 2. Let x(v) = -7*v**2 + 21*v - 9. Suppose -6*l + 2*l = -12, -14 = -s - 4*l. Give s*x(d) - 9*o(d).\nAnswer: 4*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154 and 630.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 29, 31, 29, 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from vqxluxuq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - (1 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19061 by -1.\nAnswer: -19061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -384*d**2\/5 + 354*d\/5 + 6.\nAnswer: -6*(d - 1)*(64*d + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15 - -16)*1\/(-4). Let p(s) = -2*s**3 + 9*s**2 - 24*s + 15. Let i be p(2). Which is smaller: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*h**4\/7 + 880*h**3\/7 + 344*h**2\/7 + 32*h\/7.\nAnswer: -2*h*(h - 4)*(11*h + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111044 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, k: 1, z: 3, o: 5}. Give prob of picking 1 z and 1 r.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -179 (c) 393333\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -237*c + 10633. What is the hundreds digit of g(-156)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6\/13, -2, -1.2, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 o when three letters picked without replacement from {v: 5, y: 4, r: 6, o: 4}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + z**2 + 0*z**2)*(0*z**2 - 2*z**2 + 3*z**2) - 3*z + z**4 + 3*z + (0*z**3 - 3*z**3 + 5*z**3)*(-3*z + 3*z - 2*z) + 14*z**4 - 155*z**2 + 155*z**2.\nAnswer: 13*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 705.73849 and -2.\nAnswer: -1411.47698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 - 5*f**2 - f + 3. What is the remainder when 21 is divided by b(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 17 = 2*r, 0 = 2*r + 2*g - 6*g - 20. Let t = 13 - 8. Let b(c) = -c**2 - 22*c - 42. Let d be b(-20). Sort r, d, t in increasing order.\nAnswer: d, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 281126 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2170 divided by -35\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 2)*(-6 - -6). Solve 2*q + f = 4, 16 = -5*h + 3*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000719152536 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123 + 20 - (-1 - (-2 - -3))?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 2*q + 15 = -5*w, -5 = -w + 3*q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*c - 164 wrt c?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, g: 1, f: 4, i: 1, w: 2}. What is prob of picking 1 i and 1 g?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -451925\/2 smaller than -225963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 4\/(-2) - -3. Let q(n) = 3*n - 10*n**2 + n**3 - 5 - 14*n + 0*n**3. Let x be ((-1)\/3)\/(1\/(-33)). Let y(l) = 2*l**2 + 2*l + 1. Give h*q(r) + x*y(r).\nAnswer: 2*r**3 + 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.049 and -1113.328.\nAnswer: 54.553072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n - 9 - 2*n**3 + 2*n**4 + 8 + 4*n**4 to s*n**4 + t*n**2 + b + x*n**3 + l*n and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/4, 1\/2, 95\/6, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*p - 79*p = 84. Suppose 303 = 4*w - 3*q + p, -3*w = -4*q - 166. Calculate the highest common factor of 378 and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*l - 19*c + 20*c - 5, 0 = 2*l - 15*c + 62 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -18*b. Suppose -60*w + 56*w + 2*g = -44, -5*w - 4*g + 68 = 0. Let m(s) = 12 - w - 10*s + 0*s. Give m(t(u)).\nAnswer: 180*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1480726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n - 1431 + 1431.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + sqrt(21)\/sqrt(28) + 5*(sqrt(300) + 1 - sqrt(3)))**2.\nAnswer: 273*sqrt(3) + 24879\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23628, 94148, 211682, 376230, 587792, 846368?\nAnswer: 1151958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 59*q - 689. Determine m(68).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 4*z + 1. Let h be p(-4). Let f = 10 - 10.5. Which is the closest to h? (a) 2 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41121 + -124?\nAnswer: 40886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/188 and -87\/239042.\nAnswer: 478084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6466 - -6466.000083621. What is k rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21030144 (base 5) to base 2.\nAnswer: -101010011011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5858 - 11472 = -8*l - 5790 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w + 776 = 126*w. Suppose -3 - 3 = -3*y. Suppose -480 = -w*q + y*q. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -5*c + 22. Suppose 3*o - 322 - 359 = -5*s, o - c*s = 227. List the prime factors of o.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1273 - 742. Let w = -537.49 + j. Let m = 6.8 + w. What is m rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**2 - 1. Let b(p) = -6*p**2 + 1. Let z = 11 + -18. Let x(f) = z*g(f) - 6*b(f). Let t(a) = 3*a**2 + 6. Give t(q) - 6*x(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 401\/7 - (-4)\/(-14). Suppose 3*m + 0*m = p. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 48, 61, 74, 87?\n\"Answer: 13*r + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/5)\/(-2))\/(72\/2340).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*d + 0*d + 510 = 0, -3*y + 4*d = -370. Suppose -25*o + 19*o = -y. What is the remainder when o is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/(-15))\/(1\/(-10)*-4). Solve -n*a + 13 = 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z + 801 - 2265. Let b = 663 + z. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13180, -5, -2\/7, 19, 0.1 in decreasing order.\nAnswer: 19, 0.1, -2\/7, -5, -13180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1171 (b) -328 (c) -3 (d) 0 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + g + 3. Let c be a(0). Let i be c*(-6 + 3 - -4). Let p be 3810\/7*(i + 4). What is p rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1544 + -7753. Is v equal to -9298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 (base 13) in base 5?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -45394, -45396, -45400, -45406, -45414?\n\"Answer: -r**2 + r - 45394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 7*x**2 + 12*x + 6. Let v(h) = h**3 - 8*h**2 + 4. Let y be v(8). Let s be (-3)\/(y\/(-6) - -1). Does 6 divide m(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4286 + -4253. What is the remainder when 1705 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-36 - (-48 + 29)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/56 and -23\/64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -5*k - 3*d, -5*d = 3*k + 8 - 72. Solve z + k = 3*h, -2*z + 3*z + 16 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12330 (base 4) to base 14\nAnswer: 23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2, p + 3*p = -3*o + 2611. Let j be (-29110)\/(-50) + 1\/(-5). Let i = o - j. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -831 - -1476. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*7*(-3)\/6. Determine r so that -33*r**2 - 3*r**3 + 5*r**4 + 3 - 3*r**2 + x*r**4 + 3 - 15*r = 0.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28692, -57614, -86774, -116172, -145808, -175682?\nAnswer: -205794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 1, -5\/3, -5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/12*(0 + 10) + 222?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 5*p**2 + 5*p - 10. Let w be b(7). Suppose -18 = 5*k - w. Let y = 1094 + -970. What is the remainder when y is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/17 (b) -0.1 (c) -3 (d) 14\/27 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -3. Let l = g + 0.9. What is the nearest to l in 2, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*d = -2*i + 29, 28 = 4*i + 4*d. Solve 5 = -q + i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 17677.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 207227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (3 - 4) + -3. Suppose 0 = n + 4*l - 54, 2*n + 2*l - 84 = -d*l. Suppose m = 3*m - n. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 7*r**2)*(-8 + 2 + 1)*(34 + 45 - 1).\nAnswer: 2730*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 3052 = d + 3069, -w - 3*d = -13 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14594559.\nAnswer: 3, 7, 694979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 282 = -934. What is the third derivative of -i*t**2 - 2*t**2 - 33*t**3 - 19*t**4 + 29*t**3 wrt t?\nAnswer: -456*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-8\/7))**(2\/21) assuming s is positive.\nAnswer: s**(10\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 16 - 13 - 10)*(0 - 1 - 3 + (-3 + 2 - 1)*(-3 + 4 + 0) + 0 + 2 - 5) as n + k*s and give n.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1))**(-1\/59)*(c*c*c**(-1)*c*c)**19 assuming c is positive.\nAnswer: c**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -8) + (-20 - -9). Put -20, c, -1 in ascending order.\nAnswer: -20, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**4\/4 + 2*o**3 - o**2 + 7*o - 1673. Give w(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-7) + (-2)\/(-7). Suppose -4*s + s + 1 = -4*d, -r*s = -6. Suppose 2*l - 10 = -d*q, 3*l = -2*l - 2*q + 25. Sort -4, l, -3 in ascending order.\nAnswer: -4, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 11 + 1 = 3*j, -q = -2*j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -2793*w**5\/5 + 1187*w - 358. Differentiate m(b) wrt b.\nAnswer: -11172*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -544*k - 24981. Calculate p(-45).\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10622825*j**4 - 52613164*j.\nAnswer: 127473900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3346 (base 10) in base 2?\nAnswer: 110100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + -1 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 25*h**2 + 17*h - 39*h**2 + 37 + 23*h**2 - h**3 + 9*h**2. Calculate x(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 4*o + 3. Let p be y(0). Let k = 220 + -544. Let l be ((-6)\/12)\/(p\/k). What is the highest common divisor of l and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**(-1)))**43)**20)**(-9\/4) assuming d is positive.\nAnswer: d**1935","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12*1776\/(-259)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 99*y - 18*y - 891 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 5*s - 63 - 120, s + 129 = -2*k. Does 24 divide k\/(-12) + -5 - (-143)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15300 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6570 - 6584. Is w at least as big as -250\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 7:15 AM?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12351)\/(-6))\/(10\/1300). Is 3 + l\/15 - (-4)\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 i when three letters picked without replacement from kkkiuucikckfifkfkfk?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03054030674757 + 6170228.96954449325243. Let k = f - 6170220. Let o = k - 9. Round o to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 i when three letters picked without replacement from ittiuittti.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -390\/461 - -1234\/42873. Find the common denominator of -59\/123 and p.\nAnswer: 3813","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**4 - 2*d**3 + 26*d**2 - 4*d + 86. Let n(t) = t**4 + t**3 - t**2 + 2*t + 1. Let i(j) = 2*n(j) + w(j). What is the first derivative of i(y) wrt y?\nAnswer: -8*y**3 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.838 - -0.024961.\nAnswer: -22.813039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 12*l**2 + 2*l - 22. Let v be j(12). Suppose -s - 25 = 4*s - 5*d, -s = -v*d + 6. Let q(g) = -g**3 - 4*g**2 - 6*g - 3. What is q(s)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.06 (b) 3 (c) 0.0275 (d) -4 (e) -260 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 114757821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 28*l - 513. Determine u(18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 18*d**2 - 15*d - 45. Let w = -286 + 271. Let b(r) = -r**2 + r + 3. Let h(z) = w*b(z) - j(z). Let p(q) = 4*q - 2. What is h(p(o))?\nAnswer: -48*o**2 + 48*o - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-406440)\/(-366925) - (-4)\/(-13)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 + -55.122. Let d = n + -1.508. Round d to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/11320 and -9\/515060?\nAnswer: 1030120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7923677 or 7923682?\nAnswer: 7923677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + ((sqrt(120)\/(sqrt(5)*2 + sqrt(5)) - sqrt(24))\/(-1*sqrt(32)\/sqrt(4)) - sqrt(108)*2*-1*5)))**2.\nAnswer: 5824*sqrt(3)\/3 + 530032\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1238972 to the nearest integer?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -15 - 179. Let h = l - -89. What is the tens digit of 4\/((h\/84)\/((-4)\/6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 74*w**2 + 24*w - 79. What are the prime factors of n(3)?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2861, 3181, 4045, 5723, 8485, 12601, 18341, 25975?\n\"Answer: 45*t**3 + 2*t**2 - t + 2815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 9, w: 2, u: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -1 (b) 2 (c) 0.2 (d) -5878.3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-10)\/(-315)*(-3)\/(-2)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 - 35482*x**3 - 157282798*x**2 + 787301290*x.\nAnswer: -2*x*(x - 5)*(x + 8873)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 356 = -6*t. Suppose 4*b + 2*d - 68 = 128, -2*b = -2*d - 110. Suppose -3*i = -18 - b. What is the remainder when t is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, -5 in decreasing order.\nAnswer: 0, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*k + 245*k + 10 = 0, -3*w - 19 = 5*k. Solve 0 = i + w*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Let y(c) = 8*c + 26 + 2*c - 26. Give y(r(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -222 + 330?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 4 - 10\/(-2). Suppose -4*q = -l - 31, i = 5*q - 2*l - 31. What is the remainder when 34 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*z - 35*z + 527. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:16 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 81 - 613 = 0. Find the second derivative of -7*t - i*t**3 + 4*t**2 - t - 4 - 4*t**2 wrt t.\nAnswer: -228*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-272)\/6 - (-8)\/24. What is b rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 102001120201222221?\nAnswer: -102001120201222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-163 + 22*f**2 + 163)*(2*f - 2*f - f)*(3 - 3 + 2) to the form b*f + q + k*f**3 + i*f**2 and give k.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 - 3 + 3 + (-2*s**2 + s**2 + 0*s**2)*(1 - 3 + 3) - 25*s + 5*s - 17*s**2 + 7*s + 11*s.\nAnswer: -20*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, m: 2, j: 1}. What is prob of sequence jmm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.7684185 - -4.768. Round q to 5 decimal places.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**3 + 6220*d**2 + 471432*d + 7403616 = 0.\nAnswer: -1476, -57, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -8 - -7) + -8 + 61 + -16?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 34*u - 12. Let m = -32 - -60. What is the hundreds digit of b(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 326*q**2 + 947*q - 7166. What is v(-323)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73.000214 - -73. What is b rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h - 210. Determine y(52).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + -34a44?\nAnswer: -34a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5131033 + -41?\nAnswer: 5130662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 o when three letters picked without replacement from {o: 2, a: 2, h: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m = 12*m - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 377218 - 10.\nAnswer: 377208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 67, 132, 195, 256, 315?\n\"Answer: -t**2 + 68*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.83 - -442.83. Let r = -73665374721.00000201 + 73665375162. Let g = x - r. What is g rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h + 21*h - 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 8*q**2 + 5*q - 13. Is z(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - l - 5. What is b(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**5\/5 - j**4\/6 + 4*j + 1. Let w(h) be the first derivative of u(h). Find the third derivative of w(r) wrt r.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -5, -4, 480\/343, 9\/7 in descending order.\nAnswer: 480\/343, 9\/7, 2\/15, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 310240*q**5 + 557*q**2 + 18*q + 23 wrt q?\nAnswer: 18614400*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - p - 5 = 4*p, 0 = -b - 4*p - 4. Suppose i**3 - 2 - 5*i**2 - i**2 + b*i**2 + 6*i + i**3 = 0. Calculate i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120 - 118. Let l(r) = -3 + 3*r**f + r**3 + 0 + 5*r - 7*r - 4*r. Determine l(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 57408328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-2\/5)))\/c**3)\/(c**(1\/3)\/c)**(-30) assuming c is positive.\nAnswer: c**(-113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*s**2 + 4*s**2 + 10*s**2)*(-66 - 125 - 30)*(-5*s + s + s) in the form m*s**3 + p*s**2 + d*s + w and give m.\nAnswer: 4641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 1 + -20 + 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 8 = 4*i - b, 0 = 5*b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157 + 2*v**2 - 157 + 2*v**3 - 9*v**3 - 228*v.\nAnswer: -7*v**3 + 2*v**2 - 228*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/11, 13, -3\/22.\nAnswer: -2\/11, -3\/22, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 723 = -20*x - 2857. Let b = x + 538. Is b a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/19 + 919426*k**2\/19 + 27581430*k\/19 + 206857350\/19.\nAnswer: 2*(k + 15)**2*(k + 459683)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*y**2 - 6 + 0 + 97*y**2 - 7 + 9 - 24*y wrt y.\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 65*h - 123. Let g be a(36). Suppose 2*m - g = j, 5*m + 5*j - 312 = 4*j. Calculate the remainder when 122 is divided by m.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -16 + 0*u**2 - u**3 - 11\/6*u**4 - 37\/40*u**5 + 3*u - 1\/12*u**6. Factor l(y).\nAnswer: -y*(y + 1)*(y + 6)*(5*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y - y + 5*y)*(0 + 4 - 1) + (0 + 4 - 3)*(6 - 2*y + 0*y - 4).\nAnswer: -5*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.8545053mg?\nAnswer: 0.0000000008545053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5536 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*p**2\/9 + 41010*p.\nAnswer: 2*p*(4*p + 184545)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x - j = -16, -5*j = 2*x. Suppose 5*f + b - 37 = -0*b, x = 2*f - 2*b. Suppose -4*v + 4*t = t - f, 3*v + t - 15 = 0. Solve 0 = g - v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/9)\/((-8)\/(-24)*2). Which is the second smallest value? (a) -0.3 (b) h (c) -4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -265 + -65. Is (40\/100)\/(1\/g*-1) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y**2 - 6*y - 4. Let u(q) = 33*q**2 - 17*q - 11. Let p(a) = 11*o(a) - 4*u(a). Find the second derivative of p(v) wrt v.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8947 <= 8924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 14*y**3 - 5*y**2 - 3*y. Let k(z) = 5*z**3 - 2*z**2 - z. What is -17*k(t) + 6*n(t)?\nAnswer: -t**3 + 4*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -26. Let v be 4\/6*2\/8. Let c = 0.12 + 4.88. What is the nearest to n in -2\/5, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1249691\/14 + 89224. Which is smaller: -41 or w?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 9 + 3 - 7*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002\/2*(-1)\/(51\/(-1003)).\nAnswer: 59, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + -2*sqrt(1300)*4.\nAnswer: -80*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -561*o - 2 + 2 - 64*o - 152*o as s + q*o and give q.\nAnswer: -777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - q. Suppose q = 3*l - 42 - 0. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 5)*(3*c**2 - c**2 + 0*c**2 + (-5*c - 2*c + 5*c)*(-2*c + 2*c - 4*c) - 3*c**2 + 3*c**2 + c**2) in the form b*c**2 + k*c + p and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1948 = -i, -2*t + 124*i - 122*i = -1940. Solve 9*h - 915 = -t for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 38*l - 47. Give c(-35).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 14*t**2 + 85*t - 1289. Give h(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 159523828?\nAnswer: 159523832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + 1 + 3*sqrt(22)\/sqrt(2) - ((sqrt(132)\/((sqrt(12) - -2*sqrt(12) - sqrt(12) - sqrt(12)) + sqrt(12)))**2 + sqrt(11))*-1) + -2)*-1.\nAnswer: -6*sqrt(11) - 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4123392?\nAnswer: 2, 3, 7, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f + 9. Let g be 2\/(-3) - (-34)\/6. Suppose -g*n - 28 = 2. Let l = -3 + 8. Let s(v) = 3*v + 8. Give l*x(m) + n*s(m).\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1814*n**3*u**2 - n**3 + 9*n*u**2 - n*u - 60*n + u**2 wrt n.\nAnswer: 10884*n*u**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 5. Let m be i(6). Let c = -1 + m. Suppose -8 = -c*v - 2*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.23 (b) -327814 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 5*y**2 - 4*y + 7. Calculate v(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2\/2 + 3328*a + 5537792 = 0.\nAnswer: -3328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**4 - 17036*g**3 + 17032*g**2 = 0.\nAnswer: 0, 1, 4258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 - 26*m**2 + m - 4. Let q be z(-13). Let s(t) = 2*t**3 + 36*t**2 + 18*t - 42. What is the remainder when s(q) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47000 rounded to the nearest 1000?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*sqrt(425))**2.\nAnswer: 10630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 63450?\nAnswer: -19035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*s + 4. Let p = 0 - 1. Let o be (s\/16*4)\/p. Put -1\/3, 5, o in descending order.\nAnswer: 5, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 61. Let z be (-2)\/(-9) + ((-8)\/(-36))\/v. Suppose 4*m + 3*a - 67 = z, 2*m - 6 = 2*a + 2*a. Calculate the highest common factor of m and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1616.\nAnswer: -1\/1616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/5 + 1339*d**3\/5 - 13299*d**2\/5 + 11961*d\/5 = 0. What is d?\nAnswer: 0, 1, 9, 1329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 47 (c) 1.11 (d) 0 (e) 5 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxx when three letters picked without replacement from xnlnxxlzxuxgxng?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 118753649?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (7 + -8 + 5)) + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 326.2, 1\/7, 0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4 - 1.8. Let i = -0.3 - -0.2. Let u = i + -0.9. Which is the second smallest value? (a) d (b) u (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -95, 2\/7, -1\/1014, -5?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -85*a - 2 + 2 + 87*a. Let c = 7 + -4. Let q(g) = -c*g**2 + g**2 + 0*g**2 + 5*g**2. Give p(q(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 41 = 6*p. Is (-699)\/p*(-178)\/(-24)*4 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) 0 (b) 9 (c) 3\/10 (d) 8\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1455203 divided by -1.\nAnswer: -1455203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32561 + -210?\nAnswer: 32351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157\/5 - 32. Let j = -0.15 + -0.05. Which is the nearest to -2\/3? (a) h (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/6 - 633123*a**2\/2 - 150316300080*a + 450951749298.\nAnswer: -(a - 3)*(a + 949686)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12, 73, 242, 573, 1120, 1937, 3078, 4597?\n\"Answer: 9*f**3 - 2*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, d: 8, g: 2, y: 2}. Give prob of sequence ydg.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/2)*z*z**(1\/4))\/((z*z**(1\/12))\/(z**(-2\/39)\/z)))**(-34) assuming z is positive.\nAnswer: z**(170\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 10*y + 17. Let w be o(15). Let u be w\/22 - (-6)\/33. Let v = -8 - -17. Calculate the greatest common factor of v and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -17*d**2 - 9. Let l(g) = -4*g**2 - 2. Let y(z) = -2*h(z) + 9*l(z). Let q(a) = 2*a. Calculate q(y(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -4593 and -4595 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 8*m - 15 = -7*m, -4*n - 2*m + 26 = 0. Solve 4*f = n*h - 4, 21 = -5*f + 2*h + 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 10. Let m be d(6). Suppose -m*h + v = -13, v - 3*v = 4*h - 22. Let o be 94\/10 - h\/10. Solve o = 5*u - 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 8*d**2 - 9*d + 150. Calculate l(10).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001121 to the power of 1\/2, to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6416 - 6246. What is the highest common divisor of 950 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019307 rounded to four decimal places?\nAnswer: 0.0193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -0.7. Let k = 1888900\/9 - 209878. Which is the third smallest value? (a) f (b) -0.2 (c) -0.41 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5852233\/94 - -62257. Find the common denominator of j and 62\/3.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 19. Suppose 194 = x*u - 2. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76679?\nAnswer: 76679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15673 - 9036. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15326*f**3 + 0 + 5*f + 0*f**2 - 15*f**4 - 15325*f**3 + 2*f**2 - 5 in the form w*f**3 + r + j*f**4 + l*f**2 + d*f and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 852 - 496 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 4523?\nAnswer: -18092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -20, l - 4*p = 6*l - 27180. Calculate the greatest common factor of l and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqy when three letters picked without replacement from {d: 2, y: 1, h: 2, q: 1, e: 8}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -492 divided by 123.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*f + 14*f - 11*f - 2)*(20*f + 0 + 1 - 1) in the form q*f + a*f**2 + s and give q.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 2063136*t - 80457741.\nAnswer: -3*(t + 39)*(t + 687673)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 457 + -455. Calculate the remainder when -2 - (-274)\/8 - (-3)\/(-12) is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 4*w**2 + 4. Let z be j(-4). Suppose 0 = z*s + s. Suppose s = -4*p + 12, -4*p = r + p - 20. Calculate the greatest common divisor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 1. Suppose -z = -2*v, -z = z + 4*v. Let f be h(z). What is the units digit of 6*(f\/(-2) - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -239490 divided by -6\nAnswer: 39915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (-10 + 19 - 23). Let z(x) = x**3 - 10*x**2 - x + 4. Give z(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31.781 + -129.529. Let x = -4.89 - -166.89. Let k = x + f. What is k rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.97 + -0.03. Let h(i) = -i + 10. Let v be h(7). Let n be (51\/(-34))\/(v\/10). Which is the closest to -2\/3? (a) n (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -4)*10\/20. Let d(a) = -16*a + 27. Give d(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/25751718 and -107\/175540.\nAnswer: 257517180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4387\/93310 - -5\/602. Is z != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.221 and -0.29.\nAnswer: -0.93409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2208034?\nAnswer: 2, 1104017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998956 is divided by 6991?\nAnswer: 6234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-8\/5)*u\/(u\/((u**(-22)\/u)\/u))*((u\/(u\/(u\/(u*u**11))))\/u)**(-36))**(-16) assuming u is positive.\nAnswer: u**(-32592\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 9 + 12. Suppose -i + 58 = -k. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 7:00 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-6) + (-1 - -3). Let d = -4\/17 + 46\/51. Suppose -k*n**3 + 0*n + 4\/9*n**4 + 0 - 4\/9*n**2 + d*n**5 = 0. Calculate n.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -19*p**2 + 47*p**2 - 23*p**2. Let x(y) = -2*y**2 - 7 + 7. What is u(x(c))?\nAnswer: 20*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 48032, 96249, 144550, 192935, 241404, 289957?\n\"Answer: 42*b**2 + 48091*b - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 349260380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 + 4372 = 17*h. Suppose 0 = 2*z + 5*p - 41, 5*z + 14 = p + 76. Calculate the remainder when h is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-54)\/315)\/((-7)\/(-49))\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*t - 105*t + 3*t**2 + 34*t + 33*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266266 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1716797 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 11\/72048?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -67343 + -2b3?\nAnswer: -67626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.027 (b) 1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.46*-0.331\nAnswer: 0.15226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -6, -82, -159 in increasing order.\nAnswer: -159, -82, -6, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -185 * -0.89\nAnswer: 164.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367 = -s - 5*a, s = -3*a - 0*a + 375. Suppose -5*w + 44 = -2*n + 6*n, 32 = 4*n + 2*w. Suppose 231 = n*u - s. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62.17 - 3.88. What is z rounded to the nearest integer?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -144*i + 73*i + 70*i - 3*a, -3*a - 15 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68 and 138992?\nAnswer: 138992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-13 + 15 - 2). Solve n = -7*q - 4*q + 22 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/61 or 1?\nAnswer: 12\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 48.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t = 17*t + 72. Solve -36 + t = 6*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j + 13. Calculate t(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 341 + -336. Solve -5*b = -5*i + 5, -a*b = 2*i - 2*b + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 5*x + 9. Let m be f(4). Let a = -4 + 15. Let y = -701 + 702. Solve m*p + v + y = -4, -2*p - 3*v = -a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q - 24*q - 16*q + 57*q - 14*q.\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 97, 184, 297, 436?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1475256?\nAnswer: 2, 3, 61469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-125)\/(-375)*(-6)\/(-26).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*k**4 - 2 + 2)*(3 - 2 - 2) + 131*k**4 + 217 - 217.\nAnswer: 122*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -20828797\/5 at least -4165759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*b - 6. Suppose -12 = -r - 4*o, -7 + 22 = -b*r + 5*o. Suppose -w + 5 + 0 = r. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v. Let x(z) = -z**2 + 18*z**2 - 18*z**2. Give x(i(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1921331580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*d + 10 = 2*b, -5*b + 2*d = -12. Suppose b*u**2 + 271*u - 9*u**3 - 271*u + 4*u**4 = 0. What is u?\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 12:23 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40, -161, -360, -637?\n\"Answer: -39*l**2 - 4*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - -1) + 599 - 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2*(6 - 0). Suppose -8 = 2*q - d*q - 2*n, 0 = 3*q + 2*n - 12. List the prime factors of 17 - (q + 1 - 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 146 - 140 = 7*x, 2*f - x = -4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 872 and 13952.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4904.084 kilograms to milligrams.\nAnswer: 4904084000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-1)\/10*-5. What is the third smallest value in 3, -6, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t - 12. Let l be a(-9). Suppose -3*f - 15 = l. Is 13 a factor of f\/2*-2*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**8\/60480 - u**7\/3024 - u**6\/360 + 17*u**5\/15 + 98*u**2 + 2*u. Let f(v) be the third derivative of s(v). Factor f(z).\nAnswer: (z - 6)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (1*(sqrt(833) + -1 + sqrt(833)) - (sqrt(833) + sqrt(833) + sqrt(833)*2 + 5))**2).\nAnswer: 840*sqrt(17) + 16845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, -0.1, -0.011, 2, 0.25 in ascending order.\nAnswer: -0.1, -2\/27, -0.011, 0.25, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 85297135511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13.44 (b) -287 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -397\/275 + 2\/25. What is the common denominator of b and 54\/13?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1252 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3919.99 tonnes?\nAnswer: 3919990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11466\/81)\/7*1242\/483.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8641841*h**2 - 8696018*h - 1.\nAnswer: -17283682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426690 divided by 355.\nAnswer: 85338\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-28)*g**(-1\/5)*g**(-4\/3)\/g*(g**(-10))**(2\/159) assuming g is positive.\nAnswer: g**(-24374\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 3212, 11441, 27402, 53657?\nAnswer: 92768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 212503*b**5*n**2 + 2*b**3*n - 13*b**2*n**2 + 49*b**2*n - b**2 + 60 wrt b?\nAnswer: 12750180*b**2*n**2 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7098215?\nAnswer: 5, 1419643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96194400 divided by 1192.\nAnswer: -80700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r. Let l(b) = -200*b + 37*b - 4*b. Let d(a) = -334*a. Let i(j) = 3*d(j) - 5*l(j). Give q(i(z)).\nAnswer: -167*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12677 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**4 + 648*l**3 + 157464*l**2 + 17006112*l - 455. Factor u(z).\nAnswer: 4*(z + 162)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 99*t**2 + 2*t - 1. Let b be ((-2)\/3)\/(12\/18). Let g be q(b). Let d = 367 + -361. What is the greatest common divisor of d and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.477763 and -0.3?\nAnswer: 1.0433289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 - 2*h**5 + 2*h**5 + (-h**4 + 0*h**4 + 0*h**4)*(2*h - 5*h + h) + 2*h**5 + 3*h**5 - 4*h**5 + 0*h**5 + 19*h**4 - 2*h**5 - 8*h**4.\nAnswer: 3*h**5 + 11*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*h - 542. What is the least common multiple of h and 20?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 7*m - 8. Suppose -27 = -5*k + 3. Let l be i(k). What is the units digit of ((-4)\/(-8))\/(l\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 276 and -2.8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 5*j + 17 = 47, -5*j = 3*v + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.218 - 32.082. Let l = u + 32.826. What is l rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667747 (base 8) in base 9?\nAnswer: 372883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v. Let a(y) be the third derivative of y**8\/4032 - y**5\/12 + 3*y**2. Let j(s) be the third derivative of a(s). What is j(c(r))?\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = -3*p - 0*h, 3*p - 7 = 5*h. Let d(n) = n**2 + 6*n + 6. Let o be d(-4). Which is the third smallest value? (a) o (b) p (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 21 = -3*q - 4*j, 2*j = 4. Solve -m + q*z + 14 = 0, 5*z + 16 = m - 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238346556 a multiple of 2350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(45)\/sqrt(9)) - sqrt(3) - (3 + sqrt(108))**2.\nAnswer: -117 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 41.91167 kilometers?\nAnswer: 4191167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 3 = -b, 19*b + 2131 = 2*s + 2256 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -48955*h - 97780. Calculate n(-2).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (219 + 91*z - 219)*(-1 - z + 0 + 2*z) to the form n + q*z + j*z**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/10592 and 41\/2032.\nAnswer: 1345184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 + 35*z**2 - 12*z + 108. What is v(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1799 - 1296*i + 1298*i - 1803 - 294*i**3 as o + r*i**3 + m*i + a*i**2 and give r.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-2)\/12 - (-5 - (-45)\/54) and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -23 (b) 2\/9 (c) 1 (d) 19 (e) 2\/7 (f) 3 (g) -2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 3:38 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*q + 28. Suppose -a - 2*x = a - 22, -q*a - x = -67. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 304.7683 and -0.2.\nAnswer: 304.5683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -6233270\nAnswer: -2\/3116635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.274 + 2.874. Sort 533, -1, b in decreasing order.\nAnswer: 533, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2249 is divided by 72?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -5, 3\/125, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.075103296793 + -3\nAnswer: -3.075103296793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/(o*(o\/o**3)\/o*o*o)*o*o**(-2\/7)\/o)**27\/((o**(-1\/3)\/(o\/(o\/(o\/(o*o**(-3))))*o))\/(o**(-2\/11)*(o**(-4)\/o)\/o)) assuming o is positive.\nAnswer: o**(16502\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 996*o**3 + 14*o - 768. Let w(c) = -c**3 + c. Let k(n) = -2*m(n) + 28*w(n). Find the first derivative of k(r) wrt r.\nAnswer: -6060*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 3*a + 4. Let p be m(3). Solve -5*b - p = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -15 + 23 - -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = -16. Suppose -b + 3 = -5*r - 4, -g*b + 7 = 3*r. Let m = -835 + 835. Solve b*x + m + 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 17. Which is greater: 2 or d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/sqrt(2) + sqrt(108).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/61 (b) 4 (c) -0.3 (d) 5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(931) + 0 + -5 + (-2 + sqrt(931))*3)**2.\nAnswer: -616*sqrt(19) + 15017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3254883 to the nearest integer?\nAnswer: 1804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 - 8*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595 is divided by 526?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 11*y**2 - 7*y - 27. Let z be k(-8). What are the prime factors of -2 + z + 4 + 0?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(13) + -3)*-4 + -4)*-6*-3.\nAnswer: -288*sqrt(13) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 959919?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhvd when four letters picked without replacement from {s: 1, v: 1, x: 1, h: 1, d: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26230, -105045, -236420, -420355?\n\"Answer: -26280*w**2 + 25*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-170 - 66 - 96)*(0*a + 0*a + a**3).\nAnswer: -332*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, 6, 1\/3, 0.5 in decreasing order.\nAnswer: 6, 0.5, 1\/3, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 0, -2\/7, -15, 27, -0.1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -d + 2*f - 28, f + 73 = -d. Let l = d + 103. Let m = l + -32. Let x(i) = -10*i**2 - i. Give x(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -2, -2\/17, -10, 2\/8427?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(700) + 4*sqrt(700))*-3)**2 + -2)*-2 + -3 + -4.\nAnswer: -944995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 9. Let j be a(-4). What is the units digit of ((j\/(-2))\/(-5))\/((-2)\/36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.101 * -229\nAnswer: -23.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + j**2 + 2*j**2)*(-2*j + 2*j - j) - 4*j**2 + 4*j**2 - 6*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 97, 1, 9, -2\/125 in decreasing order.\nAnswer: 97, 9, 1, -2\/125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 15*t + 45. Let g be p(-3). Let b be (-2 + 39\/12)*4. Sort g, 1, b, 2 in decreasing order.\nAnswer: b, 2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 + 4)*((2 - 1 - 2)*(5*p + 3*p + 0*p) + p + 3*p - 5*p)*(1 + 1 - 3) to g + y*p and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3965978 (base 10) in base 11?\nAnswer: -2269775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 1 + 14 + (12 - (7 + 12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 408*o - 165. What is the thousands digit of s(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 23*r - 79. What is the remainder when o(9) is divided by 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -9\/2 - 1\/2*h**2 + 5*h = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*x - 9 - 8, -5*a = x - 7. Suppose 0 = 3*r - 10 - a. Suppose 4*z = 2*z + 6. Solve r = o + z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.1 (c) 0.2 (d) 0.141 (e) -0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2083 + -2075. Solve -g = -v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, -0.4, -1\/6, -0.19, 0.4?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 2*v**3\/3 - 12*v**2 + 4*v. Let j be k(6). Solve -p - 3 = -t, p - 2*t + 7 = -j*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3094390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (174\/(-7))\/(13104\/(-3136))\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 4*b + 3, -4*b + 65*t - 8 = 61*t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4786427*b + 62223551. Determine f(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 11*h**2 - 6*h - 8. What is the remainder when l(-7) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -8\/3*m**3 + 2 + 0*m**2 + 0*m - 3\/2*m**4. What is the third derivative of h(u) wrt u?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1224167\/114410 + -2\/11441. Let d be ((-1)\/2)\/((-2)\/(-4)). What is the common denominator of 0 + d - 182\/20 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 171740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 17474 to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1252*383\nAnswer: -479516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:53 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 89 + -50c335?\nAnswer: -50c29b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 5:02 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-45)*35*26\/(-273)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -90*x - 5. Is d(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -2\/3*n**3 - 1 + 21\/2*n**2 + 25*n - 1\/12*n**4. Factor a(u).\nAnswer: -(u - 3)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 100.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10 + -2 + -2 + 1. Solve 4*n = -3*r - 2, 3*n = 3*r - r + y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**4\/5 - 6*y**3\/5 - 3*y**2\/5 + 6*y\/5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -21*u**3. Suppose 363*z - 139 - 2039 = 0. Let v(f) be the first derivative of -5*f**4\/2 + 1. Give z*q(s) - 13*v(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18623\/10 + -1859. Let y be (-13894)\/(-6) + 1\/3. Let c = y - 9315\/4. Find the common denominator of r and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.5, 5, 31?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b9d (base 14) to base 4.\nAnswer: -1032233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -1.4306.\nAnswer: -1.4306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 8*k**3\/3 + 14*k**2 - 4. What is the second derivative of m(g) wrt g?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 10. Let s be g(7). Put -16, s, 5\/2 in ascending order.\nAnswer: -16, 5\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1271 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88 - -4. Suppose 2*v = -f - u, -3*v = -5*f + 3*f - 212. Let w be (0 - -5)*1*f. Round w to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.183 and 23.04.\nAnswer: 22.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122202 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2119 - 1642. Calculate the remainder when 482 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5662297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -8) + -3 + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3, -10, -39, -90, -169, -282, -435, -634?\n\"Answer: -i**3 - 2*i**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-69 + 73)*(1 + 6\/(-8)). Put 4, l, 5, -3 in ascending order.\nAnswer: -3, l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325 and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 + -103133200?\nAnswer: -103133021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 836.4552 grams to kilograms.\nAnswer: 0.8364552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 108 = 4*b, -210*f + 426*f + 22 = 218*f - b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 31*v - 5144. Give n(97).\nAnswer: -2137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/3084 and 43\/60.\nAnswer: 15420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-3\/2))\/(m*m*(m*m**(-2))\/m)*(m*(m\/((m*m**(1\/6)*m)\/m*m))\/m*m)\/m**(-2\/9)*(m\/m**1*m**1)\/(m**(-2\/9)\/(m\/(m*m\/m**(-1\/5)*m))) assuming m is positive.\nAnswer: m**(71\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 208\/938879 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - (-15 - 4)) + -19 + (1 - -2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.81 or -187989?\nAnswer: -187989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*k**3*y**3*z - 29*k**3*y - k**2*z + 20*y**3*z + 16*y**2*z wrt y.\nAnswer: -90*k**3*z + 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 181.4745g?\nAnswer: 181474.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*c + 5*c - 7668 = 41*c. Calculate the remainder when 536 is divided by c.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + d964d?\nAnswer: d964e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 470 + -470.4. Let z = 137\/3 - 46. Which is the nearest to 7? (a) z (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 368 divide 11685840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-15)*n**5 assuming n is positive.\nAnswer: n**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2 + (-4 + 2 + 3)*(0 + 0 - 2) - 4 + 2 + 1)*(6 - 6*s - 6).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*t + 96, 11*t + 106 = 5*d + 8*t. Solve -r + d = 5*a, -10 = -4*r + 2*r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 11*i - 5*k - 312 = 0, -2*i + 2*k + 204 = 0. What is the second biggest value in i, -2\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*f = -12, 2*f - f - 1 = -4*o. Let r = -1 + 5. Let l be o\/((r\/(-16))\/(-1)). Sort -1, -9, l in descending order.\nAnswer: l, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/15)\/((-1)\/5). Suppose -i - q + 0 = -15, 4*q + 24 = 3*i. Calculate the remainder when i is divided by 4\/(-6) - 46\/u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 79 = -2*j - y, 5*y = -3*j - 25. Let f be (j - -14)*1\/1. Is 38380\/57 + ((-4)\/3 - f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -259*j - 4404. Let m be y(-17). Let l be (-6 - -4) + (-13)\/7. Let v = 0.07 - -0.93. What is the third smallest value in v, m, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 132875 and 5.\nAnswer: 664375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -2*sqrt(13)*3 - (sqrt(13) + sqrt(39)\/sqrt(3) + 4))**2.\nAnswer: 56*sqrt(13) + 653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6819 - -11e?\nAnswer: 6937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2356 equal to -2165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*m + 4*n + 9, 0 = 5*m - 4*n - 28. Suppose -4*t = -m*j, 7*t - 50 = -5*j + 2*t. Solve x + j*v - 13 = 2*v, 5*x - v - 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 - 25*w + 22. Let p(m) = m**2 - 8*m + 7. Let a(h) = -2*n(h) + 7*p(h). Let v be a(4). Put -1, v, 2 in decreasing order.\nAnswer: 2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30125589749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -703*k - 82192 = 1165*k for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 999223.6l to millilitres.\nAnswer: 999223600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3165, -12684, -28549, -50760, -79317, -114220, -155469?\nAnswer: -203064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.68 - 28.3794\nAnswer: -25.6994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13\/2, -1, 5, 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 519*n**2 - 5776*n + 313. Give g(11).\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4852593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 5*(-5 + 7) + (-5 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 19. Let f = -60 + 48. Let n be w(f). Let z = 23 - n. What is the greatest common divisor of z and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179628 is divided by 89797?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -969, -971, -973, -975, -977, -979?\nAnswer: -981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 7*x**4\/4 - 7*x**3\/3 - 152. Suppose 34 = -4*m - 2*d, -14 = 4*m - d + 5. Let z(s) = -s**3 + s**2. Determine m*z(o) - r(o).\nAnswer: -o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 244\/(-84)) + 1\/5*-25?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 671 + -669. Sort 15, b, 10 in descending order.\nAnswer: 15, 10, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3))**(2\/107))**(1\/25)\/((l*l\/(l*l*l**3)*l)\/(l*l\/(l*l\/(l**(8\/3)*l*l))))**(5\/12) assuming l is positive.\nAnswer: l**(66821\/24075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 213\/10 - 27131\/1270. Is p at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13756 divided by -2?\nAnswer: -6878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.258987858 rounded to five dps?\nAnswer: 0.25899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1038*t = -153*t - 1684*t - 281750 for t.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 - 5*x**2 + 2*x + 7. Let g(w) = w**3 - 3*w**2 - 4*w + 2. Let o be g(4). Let j(m) = m - 6. Let k be j(o). Is n(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a hour in minutes?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*r + 14145 - 14168 = 0, -2*r - 18 = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 51785 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*j*x - 48*x with respect to j.\nAnswer: -56*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42651450?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0 (c) 2\/9 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v - 2*v - v + (-1 + 3 + 0)*(12*v - 32*v - 148*v).\nAnswer: -341*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + a59b88?\nAnswer: a59b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-8) + 3\/12. Let k = -5 - -3. Is k bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 230249411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 128853160 to the power of 1\/2, to the nearest integer?\nAnswer: 11351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2. Let c(f) be the second derivative of -1\/6*f**3 + 6*f + 0 + 0*f**2. Give c(i(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -0.4 (c) -9 (d) -8 (e) -18 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, p: 2, v: 4, b: 6}. Give prob of sequence ptv.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48255 to the power of 1\/2, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let m(s) = -12277636*s. Calculate m(n(v)).\nAnswer: 12277636*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(152) + (sqrt(152) - -4*sqrt(152)*-1) + sqrt(152))\/(-3*sqrt(200))*3.\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (-11 - 8) - (1 + 0 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 + -1. Let v = -63 + 61. Sort 0.2, v, y.\nAnswer: v, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {o: 4, j: 2, x: 2, c: 3, s: 2, h: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/10 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133737 or 133702?\nAnswer: 133702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1081206 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 - -51. Let i = -144 - -145. Which is the nearest to j? (a) -0.2 (b) 2\/17 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25775 and 1000?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 260953 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 191451890 to the nearest one million.\nAnswer: 191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-4)\/(1 + 1). Suppose 0 = 5*k - i - 47. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 12*f**2 - 464*f + 2234. What is k(33)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -21.99996. What is v rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 5:14 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.32308274 to two decimal places.\nAnswer: -3.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 0.537?\nAnswer: -1.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 + 260. What is the greatest common factor of 55 and y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 2:53 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -34*q**2 - 6*q - 3. Let f be m(5). Let o be ((-2)\/(-7))\/(52\/f). Let u = o - -103\/13. What is the common denominator of u and -41\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062 is divided by 287?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 15 (b) -0.06 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*j - 58*j = -374. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 + 6*m + 3. Let j be a(3). Let t = -4877 + 4877. Let v = -1 - 4. Put t, v, j in decreasing order.\nAnswer: j, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**34)*d*d\/d**(-30) assuming d is positive.\nAnswer: d**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1384 + 1380. Put -9, -2\/9, a in ascending order.\nAnswer: -9, a, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.209 and -0.7.\nAnswer: 0.8463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 423 (b) 0.5 (c) 2\/17 (d) -1 (e) -10\/9 (f) 430\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, c: 3, o: 4, r: 2}. What is prob of picking 1 o and 2 c?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1660024 and 135936?\nAnswer: 478086912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Calculate the highest common divisor of 10 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730684006\/3 > 243561334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -704, -680, -656?\n\"Answer: 24*v - 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 - 2*i - 69.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = d + 140. Let x = -210 + 217. Suppose 5 = -x*v + 2*v, -d = -k - 5*v. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**3 + 8*f**2 - 69*f - 193. What is the remainder when v(-17) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 1, -3*j + 48 + 12 = 3*q. Let o = j - -12. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 706 a factor of 179983172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -5187\nAnswer: -3\/1729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**3 - 11*m**2 + 77*m + 701. Calculate q(-8).\nAnswer: 917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.45 + 0. Let b = d + 0.05. Let p = 7 - 3. What is the closest to -0.1 in b, p, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 5 - 5)*(-z + 2 - 2)*(3 - 3 + 2 - 2*z).\nAnswer: -4*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - c - c + 1 - 1 - 11.\nAnswer: -2*c - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -289\/5, 4, 22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4968 and 0.1.\nAnswer: -496.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 6*y**2 + 7*y + 2. Let z be b(-5). Let c = z + 14. Suppose 0 = -5*t - 3*o + 8, 12 = -o - 2*o. Solve -t = 2*q + c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k + 4*t = -25*k + 16, -3*t = 2*k - 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**6\/360 - d**5\/120 - d**4\/8 + d**3\/3 + d. Let w(f) be the second derivative of g(f). Determine w(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/12)\/(1888\/708)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 109801 and 1843?\nAnswer: 10650697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at most as big as -672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 7*h. Let t be z(6). Let r(g) be the third derivative of 1\/135*g**5 - g**2 - 1\/540*g**t - 1\/108*g**4 + 0*g**3 + 0 + 0*g. Factor r(f).\nAnswer: -2*f*(f - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*a**2\/7 - 419*a\/7 - 6.\nAnswer: (a - 42)*(10*a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49932613799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5)**6*(q*q**36)\/q**(-1\/12) assuming q is positive.\nAnswer: q**(805\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.28 - 0.22. Which is the second biggest value? (a) i (b) 0.2 (c) 0.4 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/2 + -1 + 4. Find the second derivative of 10*q**3 - 8*q + 0 + 0 + d wrt q.\nAnswer: 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -858*o - 114731*o**2 + 1715*o + 114715*o**2 - 857*o.\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 at most -136\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25684686*v**2*x**3 - 2*v**2*x**2 - 6*v**2 - 121*v + 368*x**2 wrt x?\nAnswer: -154108116*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*o + o. Suppose g + 1 = v, o*g + v = -0*g + 11. Let l = 5 + g. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000235261 to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 378*p**3 + 2*p**2 - 5755*p - 30177544 wrt p?\nAnswer: 1134*p**2 + 4*p - 5755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26 + 2)\/((-30)\/340). Let k be (-1 - 3) + a\/17. What is the highest common divisor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - x + 20 + 89, -5*w + w - 108409 = 3*x - 108520 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007529905936 rounded to seven decimal places?\nAnswer: -0.0000753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 96\/(-48)*3\/12*-2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 != -1338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.9 (b) -2\/9 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = -4*u - 5*i + 4, -4*i + 4 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*n + 1 = -4*q - 257*n, 2*n + 2 = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/49)\/((-2)\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**2\/2 - 378*p - 5341\/2 = 0?\nAnswer: -7, 763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9699 + 0.005.\nAnswer: 9699.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**2\/9 + 2300*a\/9 + 1528\/3 = 0.\nAnswer: -573, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7821 + 7821. Suppose 0 = -3*h + 4*b - 0 + 12, -4 = -h + 5*b. Solve 4 = -h*i - o*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/1817 - 19947\/36340. Find the common denominator of -87\/100 and h.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-5)*k)**(3\/4) assuming k is positive.\nAnswer: k**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68602294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 5. Solve k*u = 20 - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - f + 48. Solve -3*t + 3*y - 20 = 5*y, -2*t - y - f = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5863207.\nAnswer: 7, 837601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35246630 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 290655 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 j when four letters picked without replacement from {j: 1, w: 2, m: 2, y: 3, n: 4, g: 2}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 8*x = -4*x - 23, 4*x = 5*i + 25 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15*(-3 + 32\/12). Let j(d) = d**2 - 2*d - 4. Find the common denominator of 27\/11 and j(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 138*a**2 - 832*a + 6. Give n(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -246367 + 690407. What is h rounded to the nearest ten thousand?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f. Suppose 4*s = 0, 2*h - s - 1 = -3. Let x = h - 4. Sort f, 5, x.\nAnswer: x, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1545*o - 5411*o - 4146*o.\nAnswer: -11102*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -39. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**3 - 676*r + 9. Let x(f) = 15*f**2 - 7. Let l(c) = 7*c**2 - 4. Let w(v) = 7*l(v) - 4*x(v). What is w(d(z))?\nAnswer: -396*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-12)\/10 - 41\/(-5)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-16) + 0 - 54\/(-144). Put j, 18.9, 4\/3 in decreasing order.\nAnswer: 18.9, 4\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*o = 15, 5*q - 3*o = -0 + 9. Suppose q = -12*t - 1478 + 4478. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*n + 5*c - 1075, n - 3*c = 250. List the prime factors of n.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/6, 11, 3\/8, 42?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*c - 124, 2*u + 3*c = u + 36. Suppose -8*k + x = -13*k + 701, -5*k - 3*x = -703. Calculate the greatest common divisor of u and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33689473 to the nearest integer?\nAnswer: 5804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1787548, 1787549, 1787550, 1787551, 1787552?\n\"Answer: w + 1787547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839308.\nAnswer: 2, 37, 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 7:17 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154774 is divided by 208?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001128421 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.4 (b) -5189 (c) -0.121 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7*c + 10. Let v(a) be the second derivative of -11*a**3\/6 - 15*a**2\/2 + a. Let i(n) = -5*v(n) - 8*y(n). Calculate i(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/16364 (b) -0.2 (c) 0.2 (d) -5 (e) -0.04 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*n + 83092 + 163340 = -3310*n for n.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 659 = 3*v, -4*l = -2*v - 2 - 512. Let u = l + -149. Let x be 19\/(u\/(-227250))*4. Round x to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2 + 5*b + 10. Let f be d(7). Let n = 362 - f. Calculate the greatest common divisor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -39.904.\nAnswer: 40.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.3 + 4.7. Let i = -21.5 + m. Which is the biggest value? (a) 2\/7 (b) i (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -131200231?\nAnswer: -131200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 113\/3794 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22219419052.3 - -282\nAnswer: -22219418770.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.078 and 5.371437178?\nAnswer: 5.449437178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 10 = 4. Calculate the least common multiple of 0\/2 - (-6)\/2 and 10 + 2\/(l + 5).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -212.1 + 212. Which is the nearest to i? (a) -0.3 (b) -5 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56\/79 - 36\/395. Which is smaller: 387 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.03 (b) -4 (c) 7 (d) -481\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (44*o - 45*o - 8 + 41)*(6824*o**2 - 6824*o**2 + 263*o**3) as z*o**3 + f*o**4 + g*o**2 + u + d*o and give z.\nAnswer: 8679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3605 and -7919.463.\nAnswer: -7919.8235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -0.5, -0.625, 3 in descending order.\nAnswer: 3, 2, -0.5, -0.625, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -224 + 222.93. Let l = 1 + w. What is the nearest to 1 in l, 2\/3, 1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 25. Suppose -34*o = -32*o - 16. Let w(k) = 6*k - 68. Let f be w(o). Let r be h(f). Sort r, 1, 25.\nAnswer: r, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -336 by 28.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o - 1. Let j(b) = -2*b**3 - 3*b**2 - 4*b - 3. What is -2*h(u) + j(u)?\nAnswer: -2*u**3 - 3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1046 * 0.05.\nAnswer: -0.00523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234\/182 - -1 - (3 + 0)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7*l**3 + 10*l**3 + 24*l**3.\nAnswer: 27*l**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndl when three letters picked without replacement from nlclcbddllbdld?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(16)\/(-2*sqrt(512) - sqrt(8)).\nAnswer: 3*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -977, -979, -981, -983?\n\"Answer: -2*c - 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**3)**3\/(v**32)**(-1\/26) assuming v is positive.\nAnswer: v**(-23\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -589, -4403, -14567, -34255, -66641, -114899?\n\"Answer: -529*y**3 - y**2 - 108*y + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**4\/2 - 10*z**3\/3 + 50*z**2 + 1747. Factor t(s).\nAnswer: -2*s*(s - 5)*(s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(((-8)\/32)\/((-2)\/12)). What is the tens digit of 18\/(-27)*174\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 11. Let k be w(-10). Let q(y) = y**2 + y. Let g be q(k). Suppose g*i = 4*i - 44. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115922535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1565 - -1563. Let y(a) = 8*a**2 + 4*a + 5. Calculate y(t).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(8)\/sqrt(4) + 5.\nAnswer: -3*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2573930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-4)\/(-2) - 0. Let m be (1\/(-2) - a)*0. Solve 2 = -2*q - m*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(14\/12) - (1 - -1). Suppose 114 - 7 = 5*r + h*u, u + 16 = r. Calculate the remainder when 74 is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 675 - -12?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 c when four letters picked without replacement from cuuueuuceee.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*h + 5*k + 12, -2*h + 1 = k. Let y(b) = 33*b - 4. Does 24 divide y(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -4*f**7\/15 - 187*f**5\/12 - 846*f**2. Find the third derivative of i(o) wrt o.\nAnswer: -1344*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and ((-75)\/125)\/(2\/(-140))?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11148 is divided by 5557?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32225203445 + -2?\nAnswer: 32225203443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20589, 20590, 20591, 20592?\nAnswer: 20593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.28? (a) -5\/2 (b) 0.5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1800 and 33353900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 20803?\nAnswer: -20785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -g - 18. Let s = g - -9. Let d be 9\/12*-2 - -2. Which is the closest to d? (a) 2\/9 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -103*r - 729. Let l be x(-8). Calculate the greatest common factor of l and 684.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32453 and 332?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 3*f**3 + f**3)*(4 - 3 - 2 + (6 - 3 - 1)*(1 - 2 - 1))*(18*f**2 - 3*f**2 + 6*f**2 + (-f + f + 2*f)*(5 - 5 + 2*f)).\nAnswer: -250*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 + -4.7. Let t = -2 - h. What is the nearest to -1\/3 in -4, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**6 - 21*x**5 + 11*x**4 - 146*x**2 - 2*x + 2 wrt x?\nAnswer: 120*x**3 - 1260*x**2 + 264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 - 350*v + 447*v + 106.\nAnswer: 97*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4 + 2*c**2 - 2*c - 7*c**2 + 5. Let j be (-20 - -5)*(7\/5 + -1). Let q(g) = -36*g**2 - 14*g + 6. Let m(l) = j*q(l) + 44*o(l). Factor m(p).\nAnswer: -4*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 9*b = 192. Let n = -64 + b. Suppose w - 17 - 115 = n. What is the highest common factor of 33 and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f + 18 = 18*f + 5*b, -5*f - 3*b + 24 = 0. Suppose 2*j = c - 1193, f*c = j + 1678 + 1896. List the prime factors of c.\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51414 and 19431786?\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 8:09 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000727052272 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 + -57 + 18 + 84?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*h + 5. Let w be (5\/3)\/((-1)\/(-96)). Suppose l - 31 = 3*p, -4*l + h*p = p - w. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, 6, 3 in decreasing order.\nAnswer: 130, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51753 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 27*a**2. Suppose 0 = 4*x + 5*f - 9, -5*x + x + 3*f + 1 = 0. Let m be w(x). Suppose -3 - m = -5*h. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -13*o + 48. Let g be 7 + 4\/(o\/(-9)). Suppose -4*r = 4*k - 2232, 639 = g*r + 3*k - 1592. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7811429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5629532557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 537, 1072, 1607, 2142, 2677, 3212?\n\"Answer: 535*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -307*x**3 + x + 1. Is j(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3927 = -321*a + 1209 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.748 * 1.8.\nAnswer: 10.3464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-95 - -58) - 101?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + s - 7 - 14 = 0, 0 = 5*v + 2*s - 34. Suppose -3*g + v = 3*u - 31, 23 = 2*g + u. Let t be 0 - (1 + g\/(-4)). Put -4, 5, t in increasing order.\nAnswer: -4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15142050 by 302841.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*f + 3, f + 41 - 40 = 0. Solve 0*x = -2*x - 3*v - 14, u = -2*x + 4*v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 0*c**5 + 1 - 2*c**2 + 0*c - 11\/120*c**6 - 1\/24*c**4 + 1\/6*c**3. Let w(z) be the second derivative of y(z). Determine w(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15024, 10284, 5544, 804?\n\"Answer: -4740*u + 19764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 8:16 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*t**2 + 2*a**3 + 3*a**2*b*t - 138*a*b*t**3 - 123*a*b + b*t**3 wrt t.\nAnswer: -2*a**3 - 828*a*b*t + 6*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -35 and -15.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -465087\/248 + 139662\/31. Let u = 2634 - v. Find the common denominator of 4\/42*-291*5\/20 and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 386*w + 7. Let g(a) = -388*a - 6. Give -5*g(y) - 4*i(y).\nAnswer: 396*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 35 = 5*m, 0*g - 4*g - 16 = -m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 - 590*d + 10*d**3 - 9*d**3 + 55*d in the form f*d + z*d**3 + o*d**2 + j and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 f when three letters picked without replacement from {a: 1, h: 8, f: 3, k: 3, r: 2, m: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**4\/3 - 12*u + 13. Let i(s) be the first derivative of a(s). Let m(t) = 2*t**2. Determine m(i(z)).\nAnswer: 32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001102037124 rounded to six dps?\nAnswer: 0.001102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -b - 2*b - 2*b + (3 + 1 - 2)*(-b - 2*b + b) - 3*b + 2 - 2 as n*b + j and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/3723 and -163\/32928.\nAnswer: 40863648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(272) - sqrt(17)) + sqrt(17) + sqrt(153) + 0 + 5)**2*-2.\nAnswer: -12474 - 760*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -45*f - 1. Let v(q) = -23*q. Let b(i) = -2*k(i) + 5*v(i). Let m be b(-1). Let l = -9 + m. Calculate the lowest common multiple of l and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-220)\/990*12)\/(2\/15)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 95953078 to the power of 1\/2, to the nearest integer?\nAnswer: 9796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2378 - 52337\/22. Find the common denominator of z and (-2705)\/700 - (-32)\/(-112).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/(-5))\/7)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/11 + 50*i**2\/11 + 238*i\/11 + 190\/11 = 0.\nAnswer: -19, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1 + 13*c)*(3*c - c - 3*c)*(5 - 2 - 2) to the form w*c + q*c**2 + r and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3104143 and -8.02.\nAnswer: 3104134.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 - 24*y**2 + 9. Let t be k(12). Let f(x) = 88*x - 21. Is f(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5409?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**2. Let t(z) be the first derivative of -3*z**2 + 160. Give t(v(k)).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -4.4, 0.1, -2\/7, 0.4, -105?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, y: 3, p: 3, c: 3, a: 1}. Give prob of sequence pc.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1425 divided by 24?\nAnswer: -475\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7 - 0) + (-86 - -91))*(-200)\/16. Put -0.03, a, -4, 7 in descending order.\nAnswer: a, 7, -0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 4*o - 2. Suppose -4*c + 2*v = -46, -5*c = -0*c - 4*v - 56. Suppose -3*p + m - 5*m = c, 0 = 3*p + m + 12. List the prime factors of h(p).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112240201 + -11?\nAnswer: 112240140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 20 = 5*y, 3*y + 6*c + 17 = 2*c. Let l be 2\/(-1)*-1 - 0. What is the remainder when -1*2*(-1)\/l is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 476 + -477. Let t be (44 - 44) + ((-26)\/30 - u). Which is the second biggest value? (a) 0.3 (b) -20 (c) 5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15985549?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(10\/2322) + 18\/6. Let u = d + 230. Factor -6\/5 + u*z + 2\/5*z**2.\nAnswer: 2*(z - 1)*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 557 - 77 = 32*z. Calculate the lowest common multiple of z and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18962?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 11 = -5*s. Let v(y) = 3*y - 8. Let d be v(s). Let p(i) = i**2 + 9*i - 49. Let x be p(-13). Solve 4*l = 3*z + d, 5*l = -x*z + l + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3 + 7*x - 3 - 5. Calculate the least common multiple of r(3) and 30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = y, 0 = -3*y + 6*r - 10*r - 1. What is the tens digit of (-4 + y - -43) + (-1 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -33*k + 101. Let r be h(3). Solve -2*a = r*a + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32481*x = -32453*x + 1428 for x.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 26 = -34. Let l = m - -29. Calculate the remainder when 33 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 - (-1 + -3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -514454535 (base 6) in base 2?\nAnswer: -100001111101101001111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 51*m**2 + m + 51. Let i be d(-51). Do -2\/239 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313242456 to the power of 1\/3, to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 719102758 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 7\/1 + (-7 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57582 and 1554714.\nAnswer: 1554714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/4 - 1623*f**2\/4 - 221925*f\/4 - 651249\/4.\nAnswer: -3*(f + 3)*(f + 269)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-42)*(-11 + 4). Let b(a) be the third derivative of 19*a**v + 1\/96*a**4 + 0*a**3 + 0*a + 1\/480*a**6 + 0 + 1\/96*a**5. Factor b(r).\nAnswer: r*(r + 2)*(2*r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 8 + 2*x to c*x + u and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5225?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -429 + -5?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*i - 4*i + 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**3\/6 + b**2 + 25*b. Find the first derivative of g(r) wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49256280 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3 = -q. Suppose -q*p + 1 = -5*r + 6, -5*r + 35 = 3*p. Solve -j + 0*j + r = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4180 = x. Suppose 17*g - x = 16*g. Suppose s = -r + g, 4*s + 846 = 4*r - 3*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-1 + -1 + 0). Let l(n) = -5*n + p*n + 2*n + n. Let m be l(-1). Solve 3*h - 22 = -5*v + 2*h, 5*v - 16 = m*h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49385 = 435*g - 1016*g for g.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -439 or -438?\nAnswer: -438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(30\/(-15325)) - 4 - -5. What is the units digit of 5*2\/((-7)\/(r\/(-15)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -374.6163 - -0.1163. Let s = g + 374. Which is the second biggest value? (a) 37 (b) s (c) 3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120811 + 103415 = -231*a + 3630*a + 200140 for a.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66*o + 58*o + 62*o - 912 + 67*o + 1571*o**2 - 255*o with respect to o.\nAnswer: 3142*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20253576 is divided by 177.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*l**3*o**3 - 38516*l**3 + 593264*l**2*o**3 wrt l?\nAnswer: 30*o**3 - 231096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2 - (-2 + 0 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/1*117696\/31876.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 0*b - 5*j - 15 = 0, -4*j = 3*b + 12. Sort 6, -1, -3, b, -23 in descending order.\nAnswer: 6, b, -1, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*p + 2*p - 6*i = -486, 720*p = 724*p + 2*i - 58 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 11*y + 528. What is q(-29)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 6. Let b = -6 + y. Let j be 38399996\/(-6) - b\/6. What is j rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*x**5 + 1 - 2*x**5 - 3*x**5 + 7*x**5 + (2*x - 2*x - 2*x**2)*(2*x**3 - 2*x + 2*x) - 2*x + x**5 + 2*x.\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9 (b) 0.4 (c) 2\/3 (d) -12.3 (e) -0.02 (f) 0 (g) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - (sqrt(576) + 4*sqrt(576)) - sqrt(64)*6)\/(sqrt(648) + 1*-2*sqrt(648) + sqrt(648) + (sqrt(648) - -1*sqrt(648))*-4).\nAnswer: 41*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 13*a + 3*p + 33 = 0, 78 = 14*a + 5*p for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t - 28*t - 24*t + 5609 = 0 for t.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4 + 7*w - 5*w**2 - 11*w + 7*w + w**3 - 12*w. Determine k(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5796)\/(-27))\/7*(318\/(-4))\/(-53).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, g: 2}. Give prob of sequence wgg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5751)\/126)\/(-9) + 9\/(-378)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*d + 526 = 60*d - 2*g, 5*d - 3*g - 655 = 0. Calculate the remainder when d is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a factor of 19484082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -6. Let z = 135\/2 - 66. Let r = 2.515 - 2.115. Which is the nearest to w? (a) 3 (b) r (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*h = -2*h. Let c = -3 - -7. Solve -c*i = -h*i + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 721 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54.2? (a) 2\/9 (b) -0.02 (c) -4 (d) 40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -11 (b) -3\/827 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1204?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 32 + 196. Suppose l = -10 + k. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*l = 12262 + 13264 - 14294 for l.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v + v - 2*v. Let p be q(3). Suppose -3*n = 4*k - 31, 33 = 4*n - 6*k + p*k. Calculate the least common multiple of n and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**6\/120 + c**5\/12 + 5*c**4\/24 + 4*c**3\/3 + 3*c**2. Let p be t(6). Solve -5*o + p*u + 23 = 0, o + 5*u - 7 = -24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yiiyiybiiddydbimim. What is prob of sequence ibb?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + m - 10890 = 0. Let a = 504 + m. Solve 0 = 2*f + 1 + a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 4\/5*g + 2\/15*g**3 - 5 - 3\/5*g**2. Factor c(f).\nAnswer: 2*(f - 2)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.117 - -2.043. What is r rounded to 1 dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 10*r**2 + 42*r + 12. Calculate v(-13).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 8*z**7\/105 + 8*z**3\/3 - 37*z**2\/2 + 34*z. Let r(l) be the first derivative of s(l). Differentiate r(b) with respect to b.\nAnswer: 64*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292185 is divided by 974.\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1481456910?\nAnswer: 2, 3, 5, 23, 2147039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1158 and 12?\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/534 and 64\/105.\nAnswer: 18690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from gigggiiigigggigiggg?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-1 - -14 - 23) + -14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1483 and -0.4.\nAnswer: -593.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 22*g + 2. Let x(p) = -1801*p**2 - 2*p + 7. Determine x(o(l)).\nAnswer: -871684*l**2 - 158532*l - 7201","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 4:26 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32321 (base 8) to base 12.\nAnswer: 79a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17526*k - 14 = 17525*k + 2*h, -5*k = -4*h - 40 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -88) + 3 + 1 + 3 + 29 + -43\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 23 = -4*y. Let g be 3 - (y + (-12)\/(-4)). Let j be 2\/(-9) + g\/(-36). Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/15 - ((-434)\/10 - -3). Let m = -36 + q. Let b be (-5 - (-12)\/m)*2\/22. Put 3, b, -0.9 in ascending order.\nAnswer: -0.9, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26912 - -26936. Let t(l) = l**2 - 8*l + 6. Let y be t(9). What is the highest common factor of f and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)*w*w*w\/w**(2\/33))**(-1\/26)\/(w**(2\/5)*w**(-1\/5))**(-8\/5) assuming w is positive.\nAnswer: w**(3457\/10725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 2. Let l(o) = -o**3 - 6*o**2 - o - 1. Calculate l(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107.8 + 108. Which is the nearest to 0.09? (a) -5 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 + 15*d**2 - 6*d - 3. Let z be h(7). Suppose -3*c + 9 = 0, -z*c = -2*y - y + 135. Calculate the remainder when y is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(475) + sqrt(475) + 2*sqrt(475) + -2 + 1)**2 + 2 + sqrt(114)\/sqrt(6) + -3*sqrt(171).\nAnswer: -48*sqrt(19) + 7607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/10)\/(22\/(-10)). Let k = 3 - -2. Let z = -5 + k. What is the second smallest value in w, z, -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 13. Let i(v) be the second derivative of -v**3\/6 + 2*v**2 + 869*v. What is the remainder when i(w) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 2. Let v = -1679 + 5039\/3. Let k(d) be the second derivative of -5*d + 0 + 9\/2*d**2 + v*d**3. What is -6*k(w) - 26*t(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 303 and -12353.2.\nAnswer: -3743019.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 12) in base 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.01463 and -9.\nAnswer: -8.98537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10559887 is divided by 1397?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -82.2 times -16009\nAnswer: 1315939.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-3)\/((-1)\/(-1))*(-5)\/(-30).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.4 and -23961.\nAnswer: -57506.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -46667 and 3.\nAnswer: -46664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/5 (b) -0.4 (c) 1\/77 (d) -1797 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -10*h**2 + 5*h - 6. Let g(t) = 2*t + 40. Let o be g(-17). Let w(d) = -d + 1. Give o*w(c) + n(c).\nAnswer: -10*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200332 - -3?\nAnswer: 201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**4\/6 - 3*g. Suppose 5*p - 3*c + 6*c - 28 = 0, -4*c + 9 = p. Let x(j) = p*j - 5*j + 2*j. Give y(x(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1125.02655 + -1125. Round h to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-1))**(-2\/39))**9\/((g*g**0)**(-2\/133))**(-3\/29) assuming g is positive.\nAnswer: g**(-69504\/50141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -392*n**4 - 2*n**2 - 10314*n wrt n?\nAnswer: -4704*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1964428937 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, -4, 4, 414 in descending order.\nAnswer: 414, 9, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 55*y. Let g be u(-55). Is g at least -4\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4409*y + 2 + 4381*y + 3 to j*y + q and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 455*c + 80. Let a be v(7). Let z = a - -1958. Let j = z - 893. Round j to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3383, -6786, -10189, -13592?\n\"Answer: -3403*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/202 and 95\/10134208.\nAnswer: 1023555008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-3))\/((-6)\/36). Suppose 2*g - 8 = 4*v, -5*v - 10 = -73*g + 74*g. Solve g - 6 = -2*h - u*d, d = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -543 - -542. Suppose 0 = -5*a + 3 + 7. Sort y, 0, a in descending order.\nAnswer: a, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496810 not equal to 496810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 1\/2*v**2 + 0 - 2*v. Let t(f) = 2*f - 2. Let u be (8 - 6) + 0\/1*-1. Give u*o(x) + t(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 11*u - 16*u - z, 2*z + 19 = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3*t + t)*(2 - 2 + 4*t)*(-238*t + 114*t - 787 + 123*t)*(-3*t + 4*t - 2*t).\nAnswer: -4*t**4 - 3148*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*q + 268 = 0, -3*j + q + 99 = -102. Which is smaller: 66 or j?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -280 + 400?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 + -1043540541?\nAnswer: -1043541032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-40) + 6\/15.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 - 67*q**2\/3 - 130*q\/3.\nAnswer: -q*(q + 2)*(q + 65)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -16*c**5 + 4*c**4 + 22*c**3 + 2*c**2 + 4*c - 16. Let u(t) = -5*t**5 + t**4 + 7*t**3 + t**2 + t - 5. Let r(m) = -6*g(m) + 20*u(m). Factor r(n).\nAnswer: -4*(n - 1)**2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1567*t - 1565*t = -2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-35)\/(-45))\/(2\/4).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 0 + 1\/6*l**3 + 1\/3*l**5 + 0*l + 1\/24*l**4 + 7*l**2. Is i(-1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 10:28 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-1)\/3 + 2. Let l = 15 + -7. What is the highest common factor of v and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + (-4 - -4) - 3) + (122 - 170)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-15))\/(100\/2500)*1*-3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407694019.\nAnswer: 407694019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 224\/59 or 4?\nAnswer: 224\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + i - 26753 - 12322 = 0, -5*t = 4*i - 97695. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-6) + (-1)\/2. Let y = -2 - -6.04. Let g = y + -0.04. Which is the third biggest value? (a) g (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 9*l**2 - 2*l - 5. Let q(d) = 2*d**2 + 14*d + 6. Let b(n) = n**2 + 5*n + 2. Let m(w) = 11*b(w) - 4*q(w). What is -3*c(t) + 8*m(t)?\nAnswer: -3*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**5\/60 + r**4\/12 - r**3\/2 - r**2 + 52. Let z(g) = -1 + 1 - 1. Determine -w(l) + 2*z(l).\nAnswer: l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -13*p**3 + 5*p**2 + 250*p + 48. What are the prime factors of w(-12)?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-15)*12525\/(-30895)?\nAnswer: -5\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 27 = 8*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/10 - -9\/10. Put u, -1, -4, 13\/2 in descending order.\nAnswer: 13\/2, u, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076191253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -2.1 and 9\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.4 (c) -0.2 (d) 0.23 (e) 1063 (f) -5 (g) 1.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (1 - (8 + -10) - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuvis. What is prob of sequence us?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-5) + 0 + (-3)\/(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3021, -3015, -3009, -3003, -2997, -2991?\n\"Answer: 6*w - 3027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3 + 11, 3*w + 42 = -3*q. Let d(k) = k**2 + 26*k + 10. Let o be d(q). Let n = o + 215. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, p: 1, d: 1, w: 4}. What is prob of sequence wj?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 3*w**2 - 2*w**2)*(1 + w - 1)*(18*w**2 - 5*w**2 - 9*w**2).\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 12, 4.\nAnswer: 1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 108642*f. Let p(k) = 1366*k. What is y(p(x))?\nAnswer: 148404972*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 28 = 5*o, -8*c + 9*c = 4*o + 27. Suppose r - 2*d - 22 - 121 = 0, -2*r + 280 = -2*d. What is the remainder when r is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1904 + 0.4.\nAnswer: 1904.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -27. Let j be (5\/2)\/(l\/12). Suppose 86 = j*y - 0*y - 3*k, -5*k - 23 = -2*y. What is the remainder when y is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 + -319\/4. Which is the nearest to -1? (a) k (b) 0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254345, -254364, -254379, -254390, -254397, -254400?\nAnswer: -254399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2598454487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106034654?\nAnswer: 2, 3, 17, 29, 167, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54418, -108907, -163472, -218113, -272830?\nAnswer: -327623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 492 and 2706.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p. Let y(t) = 4*t - 611. What is s(y(l))?\nAnswer: -8*l + 1222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0597482 rounded to 5 decimal places?\nAnswer: 0.05975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -100688268, -2, 2 in descending order.\nAnswer: 2, -2, -100688268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + 4*1*sqrt(108))**2*1.\nAnswer: -96*sqrt(3) + 1732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, -2\/5, -0.6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 4, 3\/4, -12, -506?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 - (-1 + -3 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -5, 2 in ascending order.\nAnswer: -8, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78273 and 187551.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/2 - (-122 - 0). Suppose 4*d - s = -23. Factor -4*z**2 + 12*z - 3*z**3 + 6*z**2 + 4*z**2 - d.\nAnswer: -3*(z - 2)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - g**2 + 2*g + 6. Let t(u) = -55*u - 443. Let m be t(-8). Determine y(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-94 - -79 - (-8 + 5 - -6))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*m - 253, -m = 3*z - 2*m - 265. Let i = -87 + z. Suppose t + 8*t - 1881 = i. List the prime factors of t.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -9\/16*u**4 - 3 + 3\/2*u + 9\/8*u**2 - 1\/2*u**3. Factor y(t).\nAnswer: -3*(t - 1)*(t + 1)*(3*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 1354*x - 1355*x - 43*c, 4*x - 78 = x + 5*c for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - -1 - (2915 + -2845).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -347.1727 to the nearest integer.\nAnswer: -347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -1 + 0 + c - 5*c. Suppose -2*b - 6*f + 10*f = -2, 5*f + 10 = b. Let i(y) = y**2 - 9*y - 2. Determine b*n(z) + 2*i(z).\nAnswer: 2*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:28 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 98, 148?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/400 and -54\/14315.\nAnswer: 1145200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2321555744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-326 + 507 + 479)*(57*p**2 + 10*p - 24*p**2 - 8*p).\nAnswer: 21780*p**2 + 1320*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11, -2\/13, -1, -1\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**5 + 270*z**4 - 925*z**3 - 3930*z**2 + 3620*z + 11400 = 0.\nAnswer: -57, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 598 + -630 - 1988\/(-62)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -0*u - 2*u. Suppose -3*x - i = 39, -3*x - u = -i - 22. Suppose 5*m + 85 = b, -3*m + 5*b + 3 = 76. Is x not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/sqrt(36))\/(sqrt(320)*-1 - sqrt(320)).\nAnswer: -sqrt(11)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/4*4\/(-10)*4. Solve -10 = o*z + 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0097*-2.14.\nAnswer: 0.020758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6072394 divided by -21922\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b - 1. Let f be p(-1). Suppose 0 = f*k - 7*k - 9. Let y = 13 + k. What is the remainder when 28 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 281 = 1299. Let u = -505 - g. Let p(q) = -20*q**3 - 17*q**2 + 11*q. Let h(x) = 7*x**3 + 6*x**2 - 4*x. Determine u*p(c) + 11*h(c).\nAnswer: -3*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2906627 to the power of 1\/2, to the nearest integer?\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 416 divided by 26\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(6\/(-40)*1). Let a = z - -10. List the prime factors of a - -7 - (1 + -12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.6 (b) -3 (c) 0.06 (d) 2\/23 (e) 4 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/16 and 107\/100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 44*b - 39 + 15 + 15. Let a be w(-4). Let p = a + 286. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(sqrt(2) - sqrt(32)) + 3.\nAnswer: 6 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*d**3 - 139*d**2 - 357*d**2 - 160*d**3 - 16*d**3 - 244*d**3 wrt d.\nAnswer: -2250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 100 = -91*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {g: 2, h: 1, t: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1.64, -0.2, -26, 0.3, -1 in descending order.\nAnswer: 1.64, 0.3, -0.2, -0.5, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, y: 2, b: 1, h: 1}. What is prob of picking 1 b and 2 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 440627 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(3\/5)*p))\/(p\/(p**(3\/5)\/p)))\/(p**(-2\/5)*p)**(-17\/2) assuming p is positive.\nAnswer: p**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.24 and -0.0363.\nAnswer: 0.008712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -148604 divided by 2\nAnswer: -74302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/((-77)\/385).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 104300 (base 5) to base 6\nAnswer: 25044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide (-1516)\/(-10) - (-46)\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 12*o**2 - 5391*o + 166067. What is g(416)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*g - 1, -g - 14 = -10*d + 13*d. Let f be (16\/192)\/(-2*2\/8). What is the second biggest value in f, 2, -3\/4, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25592)\/(-2285))\/(8\/(-10)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6264359?\nAnswer: 37, 169307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1107*v - 570*v - 539*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-1)\/((-2)\/2). Suppose 74 = k*y - 8. What is the remainder when y is divided by -1*(-2 - 0)*7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.831472 litres to millilitres.\nAnswer: 7831.472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475900 is divided by 16410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34583317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = 2*d. Solve -f + d*f - 6 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 328440 and 1560?\nAnswer: 4269720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -904 - -1591. Suppose 0 = -11*f - 159 + t. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*x + 681, -4*x - 4*q - 224 = -3*x. Let k be -4 + 1 - x\/60. Let 0 - k*r - 2\/5*r**2 = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 8 - (-49)\/(-6)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -330096.3 and 0.\nAnswer: -330096.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000051049 rounded to 7 decimal places?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**3\/3 - 27*t**2\/2 + 783*t + 1. Let w(a) = -37*a. Calculate y(w(c)).\nAnswer: -74*c - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - j - 4)*(-5*j**3 - 5*j**3 + 1 + 6*j**3).\nAnswer: 4*j**4 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 + 87. Let z be (v + -1)\/(3 + -2). Solve 0 = r + 2 + z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -1\/5, -1, 55140?\nAnswer: 55140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddd. Give prob of picking 4 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218319 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -108 (b) 0.05 (c) 267\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11518 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**3\/3 - 2. Suppose 11 = -5*w - 4*o - 5, -w - 4*o - 16 = 0. Let m(k) = 6 + w - 6 - k. Calculate d(m(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 12496757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5079.22395 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 73, 72, 67, 58, 45?\n\"Answer: -2*l**2 + 5*l + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -n - 4*u, -u - 26 = -2*n - 5*u. Let r be -26*(-5)\/2 - (-6)\/(-3). What is the greatest common divisor of n and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1643, -1631, -1619, -1607?\nAnswer: -1595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -613520166 divided by -1193619\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 9*k**2 - 607*k + 2353. Calculate v(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97753.67ml to litres.\nAnswer: 97.75367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/10)\/((-5)\/((-30)\/(-21)))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3148882 is divided by 281.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(sqrt(12)\/sqrt(3)))\/(sqrt(3) - (sqrt(243) - (sqrt(243) - sqrt(243)*-2))))**2.\nAnswer: 3\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c - 28. Let u be z(-11). Suppose 0 = 3*y + 5*o + 9, 2*y - 4*y - u*o = 11. Let a be (3\/(-2)*-2)\/1. Solve -y*h + a = 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.2 + 20. Let m = h + 2.200096. What is m rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211100 (base 3) to base 15.\nAnswer: 2a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1290, -1257, -1142, -903, -498, 115, 978, 2133?\nAnswer: 3622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(17) + 1)**2 - (4 + sqrt(17) + -1).\nAnswer: 11*sqrt(17) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -114*x**2 - 42*x + 12. Let o(d) = -38*d**2 - 14*d + 4. Let k(f) = 17*o(f) - 6*w(f). Let t be k(-12). Round t to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -5*k + 97. Solve -3*z = -2*s + 13, -z - 10 = -s + k*s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*w + 114*w = -5*j + 19, -5*w + 5 = -5*j. Let d(q) = q + 9. Let k be d(-6). Solve 0 = w*t + 3*f - k, -2*t + 5 = 3*t - 2*f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*o**2 + 109*o**2 - 208*o**2.\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 795768941 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255*f - 296 = 292*f. Put f, -5, -1, -4, 1 in increasing order.\nAnswer: f, -5, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2145010 + -32130?\nAnswer: 2112440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 44*w**2 - 190*w + 152. Calculate k(-39).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95 + -100. Which is greater: g or -14?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**5\/8 - 25*o**4\/24 + 13*o**3\/6 - 5*o**2. Let u(x) be the first derivative of g(x). What is the derivative of u(a) wrt a?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141 - 310. Let k = 164 + f. Suppose 0 = -l + 2*z + 7 + 1, 5*l + z = 18. Which is the second biggest value? (a) k (b) l (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -335*a + 335*a + a**2. Let w(z) = 15*z**2. What is x(w(k))?\nAnswer: 225*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 4 + 5)*(-1 + 1 + z) + 1932*z - 1215*z - 1291*z)*(-2 + 2 + 9) + ((-1 + 1 + 2)*(-3 + 4 + 0) + 2 - 3 - 1 + 1 + 3 - 5)*(4*z - 4*z + 2*z).\nAnswer: -5177*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2)*i*i**(-1\/2)*(i**(-2))**(-2\/53))**(-1) assuming i is positive.\nAnswer: i**(-379\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 13*n**3 + 0.\nAnswer: -13*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 317b - -26?\nAnswer: 31a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51664.8 rounded to the nearest 1000?\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4 - 2 + 1 + 1 + 2*f. Does 6 divide g(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uiuviizzvuu. What is prob of picking 1 v, 2 i, and 1 u?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4\/15)\/(14\/5)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -12. What is the nearest to 0.1 in -0.1, z, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167 - 38 = 41*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q - 5*q + 5*q)*(-13 - 9 - 10) + (0 + 4 - 2)*(-2*q - 2*q + 2*q) in the form v + m*q and give m.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 46*m + 90. Calculate the remainder when 315 is divided by y(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001085 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643138681 to the power of 1\/3, to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*l**4 + 1 + 457*l + 461*l + 458*l - 1379*l + 2*l**2 as k*l**4 + h*l**2 + p*l**3 + x*l + i and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*i - 103*i + 166 = 0. Calculate the remainder when i is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8693085 divided by 3.\nAnswer: 2897695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 24\/(-15))\/(13*(-8)\/(-2340)). Solve b = 21*m - 18*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000172367 rounded to 7 dps?\nAnswer: 0.0001724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, l: 2, x: 3, j: 10}. Give prob of picking 2 l and 1 y.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w - 27. Suppose 0*a + w = 3*a. What is the remainder when 14 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/49 + 1616\/336)*(-27)\/(-24)\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.3, -1\/6, 5, 7\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 732.091 + 32.209. Round d to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 374 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-290))\/(-5)*-3*(-10)\/10?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from jsxejecjjjjx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 38*n + 13. Is h(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 5, -0.9, 0, -1381, 1\/6, -1?\nAnswer: -1381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 14*f**2 - 51*f**2 - 2.\nAnswer: -37*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.207 + -163.379. What is y rounded to zero dps?\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 2)*3\/(-2). Let u be (4 - (-1 - 1 - -4)) + -5. Is ((-50)\/j)\/(u\/(-18)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2344040 (base 5) to base 14\nAnswer: 11c97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17963205 by -460595.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -45. Suppose -2*u - 7 = x. Let b(v) = v**3 + 11*v**2 - 15*v - 5. Is b(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1949, 5032, 10179, 17396, 26689?\n\"Answer: g**3 + 1026*g**2 - 2*g + 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 0*n - 3*n - 57, 4*j + 5*n = 121. Suppose 2*u - 36 - j = 0. What are the prime factors of ((-24)\/9)\/((-4)\/u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4129*b = -4082*b - 235. What is the greatest common divisor of b and 10055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d**3 - 12*d**3 + 2*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*c**4*l + 2*c**4 - 5*c**3*l + 28013*c**3 + 56*c**2*l + 2*c**2 - 1315*c*l + 8*l wrt c.\nAnswer: 288*c*l + 48*c - 30*l + 168078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.086563633 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*y - 19. Suppose -38000 = 3*h - 2*h + 3*t, -y*h = 3*t + 190000. Round h to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535345 is divided by 534710.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 726 divided by -3.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2106810049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 150*z**3 + 3860*z**2 + 27206*z + 29768.\nAnswer: 2*(3*z + 4)*(5*z + 61)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/182)\/((-14)\/98). What is the closest to -0.2 in g, 1, 0.02, -1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*sqrt(18)\/sqrt(2))\/(4*sqrt(9)\/sqrt(3)) + (sqrt(108) + sqrt(108)*2 + sqrt(108) + -1)**2 + 1 + -3.\nAnswer: -95*sqrt(3)\/2 + 1723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 662*m**6 - 10*m**4*r**2 - m**2*r**2 + 8*m**2*r - 43*m**2 + 6*m*r**2 wrt m.\nAnswer: 79440*m**3 - 240*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + q. Let a(f) = -16*f**2 + 6*f + 3. Give a(z) - 6*i(z).\nAnswer: -10*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -0*g + 4*g + 3*s, -5*g - 4*s + 113 = 0. Let m(d) = -d + 37. Let i be m(g). Calculate the greatest common factor of i and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x - 1. Let r(o) = -2*o + 1. Let j(b) = -3*h(b) - 4*r(b). Let w be j(-7). Solve 0 = 5*q - 2*q + d + 10, -2*q = d + w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 124136312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3324890*g**3*w**2 - 2*g**3*w + 1272*g - w**3 - 6*w**2 - 9267*w wrt w.\nAnswer: 6649780*g**3 - 6*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.175989226 - 0.176. What is r rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -100 + -13?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6*c = c + 5, 0 = -5*i - c + 13. Solve -5*l - 2*j = -29, 4*l - 28 = -2*j - i*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59353?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from aeaqeeeqaeqee.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 6 = 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/(2*(-1)\/(-4))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -110*m**2 - 1730*m - 1. Let u(l) = -l**2. Calculate i(u(g)).\nAnswer: -110*g**4 + 1730*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -36 (c) -4\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 5\/4*w**3 - 15\/4*w**2 + 15\/4*w**4 - 5\/2*w**5 + 5\/4*w = 0. Calculate w.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137.917 - 138. Let a = -0.087 - y. Let u = 0.004057 + a. What is u rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12712\/(-784) + (-12)\/(-56)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.543973 to zero decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - (-30 + 103)) + 63.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 261204\/21 + 26\/(-91) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - -48 - (-19 + 1955\/69)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 + 718*w**3 - 278*w**3 - 257*w**3 - 240*w**3.\nAnswer: -57*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -1\/6, 12\/7, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*j + 440 + 656 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 4*r + 23, 154 - 174 = 4*r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*x = 90*x. Let o(t) = 12*t - 164*t**2 + x*t - 12*t. Let y(j) = -j. Calculate o(y(d)).\nAnswer: -164*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -565 + 566.1. Which is the closest to u? (a) 8 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1518499\/224 - 6779. What is the nearest to -1 in 5, -2\/3, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63*f**3 - 276948*f**2 - 506695659 wrt f?\nAnswer: 189*f**2 - 553896*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g - 13*g + 0*g)*(78*g + 108*g - 22*g).\nAnswer: -2952*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 615622840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 17. Let a be (-11 + 1)*(-11)\/(-88). What is the closest to x in -5, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 10:43 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -23. Let d = 7 - l. Put d, 1, 0.3 in descending order.\nAnswer: 1, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1054*z + 929*z - 1875 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/98)\/(-9)*-2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfsssssfsss. What is 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 seventh smallest value in -0.5, 1\/5, -0.2, 20, -1\/7, -0.09, -18\/11?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q**3 + 3*q**3 - 3*q**3)*(2 + 2 - 1) as s*q**2 + i + x*q + t*q**3 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07634 rounded to three dps?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a**2 + 469*a + 2790. What is i(-6)?\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*n**3 + 152*n**2 - 50*n\/3 - 2500\/3.\nAnswer: -2*(n + 2)*(6*n - 25)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 23*v + 5. Let b(c) = 3*c + 1. Let q(y) = -5*b(y) + k(y). Let j(u) = 16*u. Give j(q(d)).\nAnswer: 128*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -249860244 and -1.\nAnswer: -249860245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmhmtmhhttthhtm. Give prob of picking 1 h, 1 m, and 2 t.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.85 + 4.15. Let j = 0.9 + -1. Which is greater: x or j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -5*r**2 - 3*r - 1. Let z(y) = -197*y + 24 + 73*y - 20 + 134*y. What is -4*g(p) - 3*z(p)?\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 - (-91)\/60. Let a = -33613\/9 + 3864094\/1035. Let b = z + a. Is b < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 43.\nAnswer: 7\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -283457 divided by -6031.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = -c. What is the least common multiple of c and (-2)\/(-11) - 430\/(-55)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from dqdddqdddddqqd.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51335460 - 1?\nAnswer: -51335461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 4*j - 5*j = 0, -59*n - 5*j + 9 = -61*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6*43\/((-1806)\/(-108)))\/((-4)\/14). Solve n*v = -16 - 38 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*l = -200*l + 405*l + 216 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b + 22. Let n be k(-9). Suppose m - 5*m = 4*v - n, 5*v = -m + 50. Suppose v*j + 1200 = 25*j. Calculate the remainder when j is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*f - 37*f + 157*f - 29*f - 36*f - 31*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 60, -26, -3, 2, -7.\nAnswer: -26, -7, -3, 2, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffy when three letters picked without replacement from yyykyffyyykkk?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-134 - 2*w + 68 + 67)*(-4*w + w + 2*w)*(79*w + 5 - 78*w - 4) as t*w + m + f*w**3 + j*w**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -338 + 125. Let r(v) = -19*v - 742. Let z be r(-33). Let t = z - o. What is the remainder when t is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**4\/12 - b**3\/3 + 107*b**2. Let k(f) = 3*f - 2. Calculate -3*a(t) + 4*k(t).\nAnswer: 6*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 55*n**3 - 7 + 2 - 71*n.\nAnswer: -55*n**3 - 71*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1725*k = 4881*k + 82056 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5703929*g - 1 + 5703949*g + 1.\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 29*g**2 + 0 - 1\/60*g**5 - 2\/3*g**3 + 0*g - 5\/24*g**4. Give o(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6 + 5 = 0. Let t be (-160)\/(-30) - (-1)\/(-3). Suppose -169 = -t*m + c. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/2*(-3 - 108\/(-20)). Let i(w) = -w + 22. Let x be i(y). Solve o + x = -1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300 (base 4) in base 6?\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 471 - -478177?\nAnswer: 478658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(360)\/(sqrt(108) - sqrt(12)))\/(sqrt(70)\/sqrt(112) - -1*sqrt(640)).\nAnswer: -2*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**7\/70 - 58*a**6\/5 + 26679*a**5\/10 + 13514*a**4 + 54289*a**3\/2 + 485*a**2. Factor y(o).\nAnswer: 3*(o - 233)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434971 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-33))\/((-389)\/25674).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 1.1865 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**3\/6 + 143*o. Let p(g) = 2*g**2 - 2*g + 2. Give -p(n) - 2*s(n).\nAnswer: -2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/33 (b) 2\/9 (c) 0.1 (d) -7 (e) -5\/304 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 14 = -3*a, -a + 2*j = -3*j + 6. Let h(v) = v. Let q(n) = 1. Let c(g) = 3*h(g) - 4*q(g). Calculate c(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 + 2*o**2 + 3*o + 2. Let p be k(-1). Suppose -22 = -2*j + 5*h, 0*h = -j + 4*h + 17. Sort j, -4, -1, p in ascending order.\nAnswer: -4, -1, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 e, 1 o, and 1 x when four letters picked without replacement from {u: 1, x: 1, l: 2, e: 2, o: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2612.84 + -2613. Let t = 0.09292 - 0.25106. Let b = r - t. What is b rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*f - 367*f - 210*f + 92340 = 854*f for f.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**2\/6 - 617*a\/6 - 205 = 0.\nAnswer: -615, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 24*p**2 - 17*p - 46. What is the smallest common multiple of a(23) and 2132\/117 - 2\/9?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/75*18\/(-12)*0. Let f(y) = -3*y - 7. Let w(z) be the third derivative of -13*z**4\/24 - 29*z**3\/6 - z**2. Let r(k) = 9*f(k) - 2*w(k). Give r(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -19. Let n = h + -9. Let x(z) = z + 1. Let v be x(-1). What is the closest to v in n, 5, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -228 + 228. What is the closest to i in -6, -2, 5\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -216 - -218. Let b(u) = -2*u. Give b(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 + 14072324*n**3 + 0*n**2 - 14072364*n**3.\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*v = -27, -2*r + 26 = 4*v + 2. Let f = r - -4. Let l = -8 + f. Which is smaller: -4 or l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 9:38 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 12*c**2 + 11*c + 1. Let o be j(11). Let w(u) be the first derivative of 0*u**4 - 2\/15*u**3 + 0*u + 0*u**2 + o + 2\/25*u**5. Factor w(d).\nAnswer: 2*d**2*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 7*k - 16. Let j = -18 + 13. Let h(g) = -g**2 + 5*g + 11. Let u(c) = j*d(c) - 7*h(c). Factor u(s).\nAnswer: -3*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - -3 - (-6 - 51). Is (1\/(-3) - w\/(-75))*35 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + -139b?\nAnswer: -13b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360\/(-26) + 1568\/(-10192).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189 divided by -5?\nAnswer: 189\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 699 - 1322. Let a = 5 - v. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5 - 3*q**2 - 7*q**3 - 4 - 1 wrt q.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27105 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-34)\/(-10) - 6\/15. Let m be (-4 + 3 - d)*-1. Suppose -2*r = 2, 4*z - r - 89600005 = m*r. What is z rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 0*v**3 + 0 + 0*v**2 + 9*v - 1\/3*v**4. Let s(z) = -2*z. Calculate s(w(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**44)**(1\/23) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276684822?\nAnswer: 2, 3, 1707931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38.80224 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 8:01 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a + -23445?\nAnswer: -23494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 20 = -n. Let v be 2\/3*n\/32*-6. Which is the smallest value? (a) 4 (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 10. Give t(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-84) + 4\/32\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 30204549, -26 in ascending order.\nAnswer: -26, -1, 30204549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 13. Let n(z) = z**3 + 6*z**2 - 8*z - 7. Let r be n(-7). Let d be k(r). Suppose d = 2*o - 53. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*s + 4*s - 6*s to the form q*s + h and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-10) - -1)*-5. Let o = d - -5. Let k be 10\/o*(-9)\/6. Let y(r) = -r - 1. Determine y(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -66, -76, -100, -144, -214, -316, -456?\n\"Answer: -v**3 - v**2 - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0, 0.2, -0.0298, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in 4, 3, 2\/505, -4?\nAnswer: 2\/505","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 10*b + 7. What is g(5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -50\/7 (b) 1 (c) -5 (d) 6 (e) 1119\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 + 8*c**2 - 18*c**2 + (2*c - c + c)*(0*c + 0*c + c) + (3*c - 8*c - 2*c)*(-4*c + c - 7*c) + 5*c**2 - c**2 - c**2.\nAnswer: 69*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + s**2 - s**2)*(59 + 126 + 41).\nAnswer: 226*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 30 + -25 + (0 - 3) + (-8 - 39)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, -13, 0, 3, 4 in descending order.\nAnswer: 9, 4, 3, 0, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 71317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 3*l**2 - 5*l - 2. Let d be w(-4). Are d and 21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 193 = -137. Sort 0, p, -2 in increasing order.\nAnswer: -2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -84\/39409?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252268.\nAnswer: 2, 63067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -5 - -12 - -4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y, y + 6*y = -2*m + 9*y + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2123059.\nAnswer: 73, 127, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, e: 2, s: 1, i: 1, v: 1, b: 1}. Give prob of sequence qes.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -582, -587, -592, -597, -602?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4789031*o + 0 + 4789041*o + 0.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 divided by 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3418.126 millennia?\nAnswer: 41017512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -1.1 (c) 0.031\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -9, 2*o + o + 5*m = -9. Solve 3*q + 4 = 10, -4*h + o*q = 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*k = 61*k + 28 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 13. Let o be j(-11). Let g be (-4)\/(-16) - (-14)\/8. Suppose -g = o*d - 82. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87*a**4 - 28*a**2 + 1118*a + 3 wrt a?\nAnswer: 1044*a**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 4*h = -19, 36 - 34 = -4*l + 2*h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26501932441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131452525 by 26290505.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 1. Let b be q(-2). Let p be 262880\/8934324 + 50\/(-1825). Which is greater: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 260*h + 257*h = -17, -r - 2*h + 12 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9392 + -2.0608. Let g = -11.2 + 0.2. Put -0.2, g, z in decreasing order.\nAnswer: -0.2, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 + 2*q - 4. Let w(n) = 5*n**2 + 2*n - 5. Let y(c) = -4*m(c) + 3*w(c). Determine y(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, w: 2, a: 3, d: 1, j: 13}. What is prob of picking 2 w, 1 j, and 1 d?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, q: 4, z: 6, v: 1}. What is prob of sequence qv?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2258087333*b + b**2 - 4*b**2 - 2258087333*b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130962.\nAnswer: 2, 3, 13, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w - 5. Let u(x) = -15*x + 11. Let g = -46 - -40. Let f(v) = g*u(v) - 13*l(v). Let i be f(-5). Calculate the highest common factor of 12 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15992, 15969, 15944, 15917, 15888, 15857, 15824?\n\"Answer: -j**2 - 20*j + 16013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 438904*p - 877717*p + 438916*p.\nAnswer: 103*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/40)\/((-3942)\/(-3650))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 17*j**2 - 14*j**2 - 7.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 7:33 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Let p be h - (-1 + 2\/(-2)). Suppose -4*s + 8 = -p. 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 9.494045 millimeters in micrometers?\nAnswer: 9494.045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 328, 511, 810, 1225, 1756, 2403?\nAnswer: 3166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69565480.\nAnswer: 2, 5, 401, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 484\/(-510) + (-4 + (-1084)\/(-60) - (730 + -716))\nAnswer: -15\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 63 in -1, -2\/15, -0.01, -4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 3930?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1104342, 1104341, 1104340, 1104339, 1104338?\nAnswer: 1104337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 748\/3447 - -2\/383. Put -0.5, -5, 3, p in decreasing order.\nAnswer: 3, p, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -11*l**2 + 3. Let v(i) be the third derivative of -i**5\/12 + i**3\/6 + 6*i**2 - 5. Calculate -9*v(k) + 4*x(k).\nAnswer: k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1309 + 1309 + 1499*o**2 - 3045*o**2 + 1496*o**2.\nAnswer: -50*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b**4 + 105*b**3 - 145*b**2 + 30*b = 0 for b.\nAnswer: 0, 1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a2c53 (base 16) to base 12.\nAnswer: 6a8783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -213 + 229. Suppose g*a - 16 = 8*a. Put a, -1, -7, 17 in decreasing order.\nAnswer: 17, a, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (1 - (8 + 6 + -17)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**5 + 94970*r**4 - 7*r**3 - 5287822*r**2 wrt r.\nAnswer: -120*r**2 + 2279280*r - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from eyeyeeyyyb?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17022576.106 + -17029856.35556994. Let k = -7286.24957 - n. Let u = 6 + k. Round u to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*d - 118 = 0, -s = d + d + 58. Let n be (s\/(-6))\/(4\/24). Suppose -5*o = -3*o - n. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -697*h + 46637. Determine d(67).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/(-10))\/((-18)\/120). What is the derivative of t - 3*m + 0 - 18*m - 28 wrt m?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9655680*r. Let v(g) = -7*g**2. What is v(f(w))?\nAnswer: -652625093836800*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1\/216, -2.279 in decreasing order.\nAnswer: 12, 1\/216, -2.279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1045.\nAnswer: -1\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -226496 * -0.1.\nAnswer: 22649.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43.03 - -2.97. Sort u, -0.4, 0 in decreasing order.\nAnswer: u, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*z + 5*d, 16 = -4*z + 5*z - 3*d. Let o = 42 + -27. Let x = 11.8 - o. Is z <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 15 + -25 - (-3 - (-3 - 6))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/15)\/((4\/(-1))\/(-4)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**4*t**3 + 116*f**2*t**3 + 11*t**3 - 10*t with respect to f.\nAnswer: 4*f**3*t**3 + 232*f*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0625 - 22393968125.\nAnswer: -22393968124.9375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1247 + 2?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 9*q - 10. Let v be g(7). Let x(n) = 3*n**2 - 3*n + 0 + v*n**2 + 1. Is x(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 3*z + 15. Let b be m(6). Let u(y) = 1 + 1 + 3*y - 1 + y. Calculate u(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*g**2 - 3889*g - 3 - 3918*g - 5 + 8 + 7805*g.\nAnswer: 34*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -5. Factor 2*d**3 + q*d - 3*d - 3*d.\nAnswer: 2*d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 take away -10410.324361?\nAnswer: 10434.324361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 1\/9*b**4 + 0*b**3 - 2\/45*b**5 - 2\/9*b**2 - 2 + 2\/9*b. Factor h(u).\nAnswer: -2*(u - 1)**3*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 6 = -3*s. Solve -20 = -s*y + 6*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 110*5 - (420\/20 - 19). Calculate the greatest common factor of 959 and x.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480*s - 384*s + 866*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854315719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2008334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i**5\/3 - 35013040*i**4\/3 - 80029936*i**3\/3 - 20007488*i**2\/3 = 0.\nAnswer: -2, -2\/7, 0, 1250468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + u)*(0 + 1 + 1) + 11*u + 37*u + 39*u.\nAnswer: 89*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 6) to base 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1 + 0 + 5 - 3 + (-3 + 0 + 1)*(6 - 2 - 2))*(2*d**2 - 12*d + 12*d - 1).\nAnswer: -6*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119129890?\nAnswer: 2, 5, 11, 1082999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2108, 4262, 6462, 8708, 11000, 13338?\n\"Answer: 23*l**2 + 2085*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11700*2.\nAnswer: 23400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 10*u**3 + 4*u**3 - 4*u**3 - 14 - 24 + 45.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121399?\nAnswer: 73, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8722 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -61678 divided by -61678\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08410681 rounded to 4 decimal places?\nAnswer: 0.0841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 37*j**2 + 7360*j - 531. Determine k(-199).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y**3 - 265*y**2 - 1596*y - 1440 = 0. What is y?\nAnswer: -15, -8, -12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1860960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -1\/2, 0.28 in decreasing order.\nAnswer: 0.28, -1\/2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9)\/(r**(-13)\/r*r)*(r*r**5*r)**6)**(2\/77) assuming r is positive.\nAnswer: r**(142\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {g: 7, p: 7, u: 2}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7802 - -46687\/6. Calculate the common denominator of s and -99\/98.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13660226 - 92.36.\nAnswer: 13660133.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3\/3 + 43241776*a**2\/3 - 86483555*a\/3 + 14413926 = 0. Calculate a.\nAnswer: -43241778, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + sqrt(72) + sqrt(72)*-2*6 + sqrt(72) - -2*(sqrt(72) + sqrt(72)*-1))\/(-2*sqrt(144) - (sqrt(96)\/sqrt(6))\/sqrt(4)) + 5.\nAnswer: 27*sqrt(2)\/13 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6\/m)\/(m**(-2\/15)\/m) assuming m is positive.\nAnswer: m**(92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o**2 - 2*o + 7. Let f(g) = 3*g + 0*g + 318*g**2 + 0*g - 319*g**2 - 2*g. Calculate -4*f(j) - h(j).\nAnswer: -j**2 - 2*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -10. Let w(a) = -22*a - 39. Let t be w(-2). Sort -5\/4, i, t.\nAnswer: -5\/4, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1962030 at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 10:37 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23408*c**2 - 22447*c?\nAnswer: -46816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 187669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*d - 29\/4*d**3 + 65\/2*d**2 + 0 + 3\/8*d**4.\nAnswer: d*(d - 10)**2*(3*d + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26039 - 12003239.77?\nAnswer: -12029278.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 + 271 = d. Which is bigger: d or -4\/983?\nAnswer: -4\/983","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16808122.\nAnswer: 2, 19, 442319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 37. Calculate the remainder when 97 is divided by l(12).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (16 - 5) + -12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22591465 and 5.\nAnswer: 22591465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 12:22 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 + 920*r**3 + 53812*r**2 + 104880*r + 51984.\nAnswer: 4*(r + 1)**2*(r + 114)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 118*a + 820. What is c(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((35\/15)\/(-7))\/(-20). Let w(n) be the third derivative of 0 + j*n**6 - 1\/3*n**3 + 0*n**4 + 7*n**2 + 0*n**5 + 0*n. Differentiate w(g) with respect to g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 23\/(-69) + 2 + 40\/12. Solve -14*j + i*j = -54 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -6994820?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21383.\nAnswer: 21383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1307861.\nAnswer: 17, 107, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 69, 98, 127, 156?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55031329?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 3, -4, -2 in descending order.\nAnswer: 41, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 + 453066*j**3 + 51303153121*j**2 - 3182101801944*j + 49329327498256.\nAnswer: (j - 31)**2*(j + 226564)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -0.67.\nAnswer: 12.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5289 (b) -3\/7 (c) -3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 + 9*w**2 - 2*w - 8. What is b(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**7\/189 + g**6\/27 + 7*g**5\/30 + 23*g**4\/54 + 8*g**3\/27 + 26*g. Find p such that b(p) = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 261*o - 155093 - 421515 - 284692. What are the prime factors of o?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.708 - -0.008. Let s = i - -4.64. Let v = s - -4.36. Round v to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q - 2*q - 7*q + 26*q - 6*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 0*s - 1\/8*s**4 + s**2 + 0*s**3 + 26. Let v(j) = -3*j. Determine v(b(g)).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2440 divided by -4901.\nAnswer: -2440\/4901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 5:56 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 124*q. Let c(h) = 0 + 2*h**2 - 4 + 5 - 1. Give c(b(l)).\nAnswer: 30752*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 1 + 13416)*(-34)\/(-34). Suppose -5*d + k = 2*f, d + f + 2*f = 2696. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9414590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 7:25 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 1:11 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1076, -1085, -1096, -1109, -1124, -1141, -1160?\nAnswer: -1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 44*t**2 - 50*t - 80. Calculate r(-43).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -33214 divided by -12\nAnswer: 16607\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 0.3, 1\/4, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1844340 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 626363737?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/143944 and -47\/31364640.\nAnswer: 595928160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 - 2 - 3\/(6\/4). Suppose 4*i - 3*m = 0, -i + m + 23 = g*m. Calculate the lowest common multiple of 13 + -1 + 1 + -2 and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 17622.\nAnswer: 17622.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 104651900 rounded to the nearest one million?\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/1274808 and -13\/1912212?\nAnswer: 3824424","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/9*(-567)\/504?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/3)\/((-8)\/24). Let x = -0.2 - -0.1. Which is the second smallest value? (a) m (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1144 + -3.\nAnswer: -1147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/4 and 15\/611?\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5140 and -465548579?\nAnswer: 465543439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -15. Let b be (-4)\/(-1)*(-21)\/g. Let h = -7 - b. Solve h = j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2169\/2, -0.476, 1\/9, -1\/8, 2\/9?\nAnswer: -0.476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -1.242\nAnswer: 7.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1\/10, -1\/797?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - 54. Let c be 3 + (0\/1 - (-10 - t)). Differentiate -1 + 6 - 2 - c*v + 5 with respect to v.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -675*c + 469*c - 760*c - 1463*c in the form t*c + z and give t.\nAnswer: -2429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/3 or 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4478171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 396, 373, 336, 279, 196, 81, -72, -269?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/3, 2, -1\/7, 2\/11, 10.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4*t + 12 = 0. Let x = t + 8. What is the units digit of 9*((2 - x) + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 20 = -4*w, 4*b - w - 84 = 0. Suppose 8 - b = -4*c. Let f(n) = -n + c*n - 3*n. Let s(o) = -12*o**2. Give s(f(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -272 + 296. Solve 5*q = -2*m - 2*m - k, 3*m = 4*q + 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -10. Suppose -5*g + r = 2*t, 0 + 3 = g. What is the smallest common multiple of t and 23\/4 - 4\/(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from rrfrfrfrfrrrrrfrfrr.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 not equal to 3559664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 15*m + 6. Let y(u) = u**2 + 13*u - 5. Let d(r) = -4*t(r) - 5*y(r). What is d(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1148)\/(-189) - (6 + -1 + 1). What is the closest to 7 in m, -3, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, w: 1, g: 1, j: 3, t: 5}. Give prob of sequence wkkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 145\/(-15) + 10 - (555\/9)\/(-37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) -2\/9 (c) -8.366\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 12*v - 10. Suppose -t - 5*l = 4*t - 10, -5*t + 6 = 4*l. Let w(c) = -6*c + 5. Let d(p) = t*r(p) - 5*w(p). Is d(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50.6 - 59. Let z = w - -8. Let x(h) = -h**2 - 22*h - 52. Let o be x(-19). What is the smallest value in o, z, 0.03?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.093, -335, 5, -5, 3, 0 in decreasing order.\nAnswer: 5, 3, 0, -0.093, -5, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3648050 and 78917.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 2*a = -22*n + 12, -4*n - 2*a = -6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1)\/8 - ((-1377750)\/176 + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 61. Let d be (-36)\/(-28) + (-4)\/14. Suppose -g = -2 - d. Calculate the highest common factor of g and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1545497392?\nAnswer: 2, 19, 1367, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -7. Suppose 2*i - k*j = i - 30, -5*i + 2*j = 58. Does 6 divide 62\/5 - (-4)\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*s**3 - 12*s**3 - 21*s**3 + 42*s**3.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/27 and ((-10)\/6 - -1) + -16.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v - 11. Suppose -3 + 6 = -x. Let q(r) = -r**2 + 4. Let s be q(x). Let b be c(s). What is the highest common divisor of 12 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c + 56 = -5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h + 20*h - 11*h + 13*h - 9*h.\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 3*w + 6. Let u be p(5). Let i = 8 + u. Suppose 0*h + h - 25 = -5*x, -i*x - 5*h + 41 = 0. What is the highest common factor of 6 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**4\/6 - 13*v**3\/6 + 6*v**2 + 11*v. Calculate the remainder when u(8) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 51 - 21. Let g be (-32)\/(-18) + p\/27. Find the second derivative of -4 + 2*x + 4 + g*x**5 wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 10) to base 2\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.0868 + 0.0868. What is the closest to r in -1\/5, -4\/7, -10, 0.3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19673 + 19673 + 564*c to the form h*c + i and give h.\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00231104 to 4 decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 + 25 - -4) + (0 - (-3 + 28))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.3361nm to kilometers.\nAnswer: 0.0000000000733361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/31)\/r*r\/r**(1\/4))\/(r**(-1\/12)\/(r\/(r\/r**(-6\/13)*r))))**(-5) assuming r is positive.\nAnswer: r**(18905\/2418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 139380\/35 - (64\/28 - 2). Let x = 9539 - a. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 10)*(40*y + 25*y + 29*y).\nAnswer: -1034*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 0*h**3 + 24 + 0*h**2 + 1\/60*h**5 + 2*h + 0*h**4. Factor d(v).\nAnswer: v**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*x**2 + 496183*x + 220897711 with respect to x.\nAnswer: 74*x + 496183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*y - 37*y + 26*y)*(-2*y + 5 - 5) + ((-3 + 3 + 1)*(3*y - 4*y + 0*y) - 4*y - 3*y + 5*y)*(-3 - 2*y + 3).\nAnswer: -78*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/6 and 87\/280.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*l**2 + 41*l**2 + 2*l + 36*l**2 + 39*l**2 + 33*l**2 - l.\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2032873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 4 + -10 + 1 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 + 0 + -4 + 3 - 5) + (10 - 12).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 68\/3. Find f, given that -2\/3 - 3*f**2 + l*f**3 - 1\/3*f**4 + 7\/3*f = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/28)\/((-10)\/(80\/(-12)))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7870151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 1) + 40\/64*39\/(-5).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiigxxiitxiideiii. What is prob of sequence dx?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 572 - 100. What is the greatest common divisor of f and 649?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 20 = -4*b, 15864*w = 15862*w - b - 14 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152015773?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*h = -15*h + 360 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601865 is divided by 2013?\nAnswer: 1991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*a - 48. Suppose -5*o + 4*s = -93, 62 = 4*o - 5*s - a. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73661, 147162, 220663, 294164, 367665?\nAnswer: 441166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5246 = -274*x + 1410 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w**2 + 76*w - 6. What is the smallest common multiple of 5 and s(11)?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -106.217 and 240886.\nAnswer: 240779.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 5:22 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, r: 11}. What is prob of picking 3 r?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from {e: 1, q: 2, v: 1, h: 1, o: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -52*z**2 + 0*z**3 + 0 + 0*z + 1\/12*z**4. Let i(q) = -q - 30. Calculate k(i(p)).\nAnswer: -2*p - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4027 or -4026?\nAnswer: -4026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111336*a + 1274 = -111287*a for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7329 greater than or equal to -7329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8299474?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 4*w**2 - w. Let f be g(-4). Let j = -32 + 35. Put j, -3, f in descending order.\nAnswer: f, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f + 10*f + 8*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*40 - -3*(-27 + 22).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 - 32*g**2 - 57*g + 32*g**2 + 2*g**3 to the form u*g + p*g**2 + a*g**3 + z and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20780321767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, 1589, 2\/11, 0.065?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 144847*r - 141515522. Calculate t(977).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 825*l - 24569. Calculate b(30).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*j - 1 - 1 - 105*j.\nAnswer: -180*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -936067 and 0.9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2280 - 1705. Calculate the highest common divisor of 805 and g.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127.69 - -128.46. What is the closest to 0 in 3\/2, 2, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.70691119 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 17*a + 405 = -5*y, -3*y - 415 = 2*a. Let n = a - -240. What is the remainder when 93 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 748a + 2a0?\nAnswer: 776a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 0*u**2 - u**3 + 2*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -3*o + 12, 2178*p - 2*o = 2177*p - 13 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1987\/1650 - 39\/50. Find the common denominator of l and -46\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 847.5977ml to litres.\nAnswer: 0.8475977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*v - 7. Let c be (125\/61 - 2)*(-8)\/(-6). Let s = -101\/610 + c. Is s less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.06, 4\/5, 3\/4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, u: 1, i: 1}. Give prob of sequence tiu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 562282 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: Find t, given that -2*t**5\/9 - 2*t**4\/9 + 4*t**3\/9 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-28))**(6\/35)*n\/(n\/n**27)*n*n\/n**20 assuming n is positive.\nAnswer: n**(489\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6667.71cm?\nAnswer: 66677100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooodoeoo. What is prob of picking 1 d and 2 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10122200121002 - -11?\nAnswer: 10122200121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 142 in -5, -20, -2\/11, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 497378471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-57)*(-3)\/((-15)\/10).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, f: 4}. What is prob of sequence yf?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g**3 - g**2 + 9*g + 160. Let f(t) = 4*t**3 + t**2 - 5*t - 82. Give -5*f(n) - 3*k(n).\nAnswer: n**3 - 2*n**2 - 2*n - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icrrrrcjgcri. Give prob of sequence irc.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 461, -15, 3, 19, 0 in descending order.\nAnswer: 461, 19, 3, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 261.15075s?\nAnswer: 4.3525125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -11*p**2 - 4*p**3 + 12*p**2 - 1 - p - 2*p. Suppose -20*z - 26 = -7*z. What are the prime factors of c(z)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 648354 to the power of 1\/2, to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6532 take away -0.2?\nAnswer: -6531.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-377)\/(-203) - (-105)\/49.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 18. Solve -u*k + 2*k - 3 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 58 = -75 + 25 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2\/13 (b) 1\/5 (c) 1 (d) 0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 t when four letters picked without replacement from rttrttttttr?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*q**2 - 70*q**4 - 13*q**2 + 67*q**4 + q**6 - 61*q**4 - 3*q wrt q?\nAnswer: 120*q**3 - 1536*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2, -c + 5*d = -133. List the prime factors of c.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*sqrt(108) + sqrt(108))*5 + 3 + 3.\nAnswer: -90*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 342.1 - 345.1. Which is the nearest to -4? (a) 3\/5 (b) -7 (c) o (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/41 - -47\/123. Put u, -3\/2, -5 in increasing order.\nAnswer: -5, -3\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x - 3*x**2 - 7*x)*(4 - 2 + 3).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1)*((-56)\/(-16))\/(-7). Which is bigger: 0.53 or s?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.3 + -15.2. Let a = 0.1 - 0. Let m = c - a. What is the closest to 1 in 3\/7, 2\/7, m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 60372728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22225 + -18975. Calculate the remainder when g is divided by 404.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -369.\nAnswer: -5\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -101745 to the nearest one thousand.\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1582 - -1585. Let k(t) = -t**3 - 5*t**2 - 5*t - 4. Let q be k(-4). Which is the biggest value? (a) j (b) 4 (c) q (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.57 + 2.31. Round v to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 74\/8*(-14 + 30). Let i be ((-12)\/(-8))\/((-3)\/84). Let m = i + z. Is 25 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by -3.\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22882 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((50\/(-4))\/5 - 1)*-2. Suppose -3*t = s - 2 - a, 21 = 5*s + 3*t. Find the third derivative of -l**s - 12*l**3 - 18*l**2 + 5*l**3 wrt l.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2728355345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4 = 4*f, 2*f = -4*z + 3*z + 12. Let i be 2\/f*4 + (-21)\/(-7). What is the second derivative of -9*b + i*b - 20 + 3*b**5 + 27 wrt b?\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 13 (b) 274 (c) -185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -3, -115, -4, -154.\nAnswer: -154, -115, -4, -3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -19*o**4 + 355*o**3\/3 + 323*o**2\/3 - 103*o\/3 - 14\/3 = 0.\nAnswer: -1, -2\/19, 1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6*-6 - -31. Suppose 0 = -y - 2*s + 15, 3*s - 68 = -0*y - 5*y. Calculate the remainder when ((-14)\/(-8))\/(1\/g) is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369368830 - -0.5?\nAnswer: 369368830.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tes when three letters picked without replacement from {l: 2, t: 3, d: 2, e: 3, s: 7, q: 1}?\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5241 (base 6) to base 9.\nAnswer: -1547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (10 - (-66 - (-14 + (-3 - -4))))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55.59 - 43.59. Which is smaller: r or -207?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-2) + 4\/(-8). Let h(r) = -2*r**3 - 6. Let w(q) = 2*q**3 + 7. Give b*w(p) + 5*h(p).\nAnswer: -2*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 345.1 + -344. Which is the smallest value? (a) 0.4 (b) v (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6057 - 6058. What is the nearest to 1785 in 4, l, 3, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.967 + -0.033. Which is greater: -2\/9 or q?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 764394*12.8.\nAnswer: 9784243.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 263, 2?\nAnswer: 263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4367 + 4306. Put 3, i, 4 in descending order.\nAnswer: 4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.06223827 to two dps.\nAnswer: 80.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -9*g**5\/20 + g**4\/12 - 5*g**3\/6 - g - 26. What is the second derivative of h(w) wrt w?\nAnswer: -54*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*b - 2225 = -90*b + 151. Suppose -4*l - 32 = -0*l. Let d = -13 - l. Put 1, 2, b, d in descending order.\nAnswer: 2, 1, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6)\/z**(2\/11)*(z**(2\/7))**(-25) assuming z is positive.\nAnswer: z**(-1026\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-6))\/(((-8)\/(-6))\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 4. Let i(x) be the second derivative of 3*x**5\/10 - x**4 - 5*x**3\/3 - 10*x**2 + 4*x - 3. Let y(z) = i(z) + 5*q(z). Let y(u) = 0. Calculate u.\nAnswer: -5\/6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 228970 - 131051. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 + 5*p**2 - 4*p + 2. Is i(4) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15791368139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192548560?\nAnswer: 2, 5, 421, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -20*v - 17\/14*v**7 - 1\/4*v**4 - 1\/6*v**3 + 0*v**2 + 0 - 1\/15*v**6 + 0*v**5. What is the third derivative of o(r) wrt r?\nAnswer: -3060*r**2 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 33 = s, 4*u - 29 = 2*s + s. Let y be -5*((-108)\/15 - (-28)\/4). Let r(v) = u - y - 1 - v. Calculate r(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -254*d + 940. Is t(-5) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6975 - 6964. Put 4\/5, c, 0.05 in decreasing order.\nAnswer: c, 4\/5, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 4832704?\nAnswer: 4832699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -423.9 - -424. What is the nearest to f in -3, 3, -3\/10, 11?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22340 + 1898924\/85. Let z = q + 13\/255. Which is the third smallest value? (a) z (b) 3\/10 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.0584 rounded to 1 decimal place?\nAnswer: 29.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6102*p**3 + 7271 wrt p?\nAnswer: 18306*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/((-1)\/4) - -11. Let b(u) = u**2 + 22*u - 71. Let o be b(m). Calculate the highest common divisor of o and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -6702.\nAnswer: -6702, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -673*u + 22499 = 328*u + 774*u + 79299 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 38*5.01\nAnswer: 190.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 52?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*sqrt(132)*1)\/(sqrt(36)\/(sqrt(3)*2 - sqrt(3))) + ((5*(sqrt(88) + sqrt(88)*-2) + sqrt(88) - sqrt(88)) + sqrt(88))\/(sqrt(16)\/sqrt(2)*-4) + -1.\nAnswer: -1 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 - 824*c - 968*c + 1792*c - 2*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.18719 + 0.45549. Round t to 2 decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 3 (c) 0.4 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 92006.9 milligrams?\nAnswer: 0.0000920069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 325 + -289. What is the remainder when 106 is divided by y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13426332 a multiple of 632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -25. Suppose -4*v - 13 = -w. Suppose q = -4*t + 2*q + 1, 0 = -v*t + q. Put 3, 1, t in decreasing order.\nAnswer: 3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18932.09 - -17950. What is m rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 270*v. Let b(c) = c. Calculate x(b(o)).\nAnswer: 270*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 4:30 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r - 1902*r**2 + 13*r + 1882*r**2. Let n(h) = 2*h**2. Give g(n(j)).\nAnswer: -80*j**4 + 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257253*v**2 + v**3 - 257265*v**2 + 514518*v**2.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**3\/3 - 5*t**2\/2 + 5*t + 1. Suppose -i + 0*s - 5*s = -5, 3*s = -i + 5. List the prime factors of c(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 719.9937 nanoseconds to seconds.\nAnswer: 0.0000007199937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1314 or 1324?\nAnswer: 1324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/20 in 2\/19, 3, 4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.055? (a) -1.7 (b) 4 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -2383\nAnswer: -19064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - -48)*(-1 - -2)\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 j when three letters picked without replacement from {w: 3, j: 2, g: 2, m: 1, x: 4, v: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 - 222*h**3 - 452*h**2 = 0. What is h?\nAnswer: -2, 0, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -3*l**2\/2 - 3*l - 8. Let g be 1*2 - 0\/2. Let h(p) = 7*p + 6. Let r(m) = g*h(m) + 5*q(m). Calculate r(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 206057 and 41633?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.1 times -16?\nAnswer: -929.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2260)\/1356*(-1)\/10*-2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*i*l*u + 1414*i*u**2 + 2*i + 14*l**2*u**3 - l**2*u - 5*l**2 + 3*u**3 + 3*u - 10 wrt u?\nAnswer: 2828*i + 84*l**2*u + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 203 - 49 + 109 - 32*s + 104 + 31*s to the form y + x*s and give y.\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2156 and 8410864?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.2, 109, -3, -9, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**5 - 2911980*n**4 - 37855112*n**3 - 34943136*n**2 = 0 for n.\nAnswer: -727982, -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 8:46 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - -17. Let k(j) = j**2 + 8*j + 4. Let b be k(-8). Suppose 3*g - 3*d - 45 = -b*d, 0 = d - 3. What is the remainder when a is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w - 4*w)*((-12 + 8 + 1)*(-1 + 1 + 1) + 1 - 1 + 1)*(2*w + w + 0*w).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -546, -439, -344, -267, -214, -191, -204?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -3. Let c = 5343.41 + -5343. Let o = -294.2 - -294. Sort c, m, o in descending order.\nAnswer: c, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w**2 + 8*w - 6. Let h(k) = 8*k**2 + 9*k - 7. Let d = 433 + -440. What is d*x(y) + 6*h(y)?\nAnswer: -y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f - 10*f - 22*f + (-3 + 3 + 2)*(-2*f + 0*f + f)*(2 - 4 + 0).\nAnswer: -33*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*n - 47 + 137 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*w + 183, -2*h - w + 0*w = -72. Let o(v) = 25*v + 5. Let u be o(4). Calculate the greatest common factor of h and u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2101097502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -194.39 and -1.82.\nAnswer: 353.7898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 4*a**2 + a**2)*(26 + 5*a**2 - 26) + 2*a**4 + a**4 - 5*a**4 + (-20*a**4 - 17*a**4 - 4*a**4)*(3 + 0 - 2).\nAnswer: -38*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**4 - 2*v**2 - 2*v**4 + 4*v**4 - 2*v**3 - 1 in the form c*v**4 + p*v + n + j*v**3 + l*v**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**3 + 14626*l**2 - 26776512*l + 133517160 = 0.\nAnswer: 5, 3654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d**3 + 170*d**2 - 83*d - 48. Determine s(42).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -10*f + 7*f. Let j = 811 - f. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 3*s - 2. Suppose 3 = 2*z - z. Let y be (-1 + 1\/z)*-6. Let t be c(y). Solve -7 = x - t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6692521 + 6692623.94658. Let t = h + -0.02658. Let a = -103 + t. Does -0.2 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w + 20. Let i(t) = t - 11. Let f(p) = -p**3 - 6*p**2 - 3*p - 16. Let j be f(-6). Let o(a) = j*z(a) + 5*i(a). Let c(n) = 3*n**2. What is o(c(d))?\nAnswer: -3*d**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.371865 weeks to days.\nAnswer: 51.603055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**3*y + t**2*x*y - 21*t**2*x + 17*t**2*y - 3*t*x*y - 81*t*x + 2*t*y - 2*x*y wrt t?\nAnswer: 6*t*y + 2*x*y - 42*x + 34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -765 - -727. Which is greater: -7 or h?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 248 + -1158. Let n = g + 912. Solve w = -b + n, 5*w + b = -2*b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*m + 282 = 0, -u + 3*m = -6*u + 430. Suppose -5*p - 3*d + u = 0, 0 = -p - 0*d - 4*d + 28. Solve 0 = -l - 3*j - p, -l + 4*j + 3 = -9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -4 + 0*x + 1\/6*x**4 - 2\/3*x**2 + 1\/9*x**6 - 2\/5*x**5 + 2\/3*x**3. Solve m(u) = 0 for u.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**2 - 2 + 5*k**2 - 2. What is the tens digit of x(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**5 - 16*u**4 - 10*u**3 + 67*u**2 - 32*u - 3. Let x(g) = g**5 - 2*g**3 - g**2 + 1. Let k(l) = 2*q(l) + 6*x(l). Solve k(a) = 0 for a.\nAnswer: -2, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 861000 and 16452.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 - 484*j**2 + 80*j + 13039. What is m(161)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2 + 1594920*r + 3189852 = 0. Calculate r.\nAnswer: -2, 531642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -598*f - 25. What is the units digit of l(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46.1 * -634\nAnswer: -29227.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88388853 or -88388852?\nAnswer: -88388853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -313237\/68340 + 1\/5695. Find the common denominator of v and 6\/5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1749 + 2081 = 61*a + 353. Which is smaller: a or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10693.992 rounded to the nearest 100?\nAnswer: 10700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344 = 22*g + 278. Suppose 0 = i - 3*q + 11, 0 = -i - 3*q + 16 + g. Solve -5*k + i*b + 0 = -6, -5*b = -3*k + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -10\/3*l**4 - 30*l + 0 + 0*l**3 + 0*l**2 - 5\/4*l**5. Let a(w) = -2*w**3 - 3*w**2. What is 40*a(q) - 3*m(q)?\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(48\/(-3)))\/(1\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -6 - -112)\/((-15)\/(-35)). Calculate the highest common divisor of b and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 34*r**6\/15 + 52*r**5\/5 - 422*r**4\/3 + 664*r**3\/3 + 42*r**2 - 79*r + 23. Suppose w(o) = 0. What is o?\nAnswer: -7, -1\/17, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10)\/k**(11\/4))**(-1\/40) assuming k is positive.\nAnswer: k**(51\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 3*o - 2*o**3 + 2 - 3*o**2 - 7 + 7*o. Let m be h(-5). Is m\/3 + (-4)\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1 = 3*a, -3*g - 5 = g + a. Let n be g*(-13 + 1)*1\/2. Let s(o) = -o**3 + 6*o**2 + 1. Determine s(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from owqbv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007512 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 + 2*a**2 + 9*a**2 - 16*a**2 + 6*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 66*y**2 - 5*y - 4. Calculate w(-1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*k + 5)*(0 + 8 - 3) + (-k + 2*k - 2*k)*(0 - 1 - 1).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*10\/4)\/(20\/((-8800)\/132))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 11:05 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1001010101111000011010000?\nAnswer: 1001010101111000011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4941 - 4835. Which is smaller: f or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (34 - 5) + -4 - 3. Calculate the greatest common factor of 99 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from bbbabbdbbd.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 2*f - 2. Let g(d) = -1 + 4*d - d - 2*d + 2*d**3 - 3*d**3. Let s be 2 + 1 + -3 + -2. Give s*g(y) + k(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1 = 9. Suppose 2*q - h - w*h = 44, 4*q + 3*h - 88 = 0. What is the remainder when (-3)\/(-3)*(-126)\/(-2) is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51040000 to the nearest 1000000.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.88 - -14.28. Let j = 13 - a. Let b = -0.4 - j. Which is bigger: b or -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 + -106. Suppose -j*s + 1960 = -2*s. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-25))\/(18\/(-135))*1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/3 + 1*24\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 819\/234*(-15)\/140 - (-133)\/344?\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - 6*z - 18. Let f(h) = 2*h**3 - h**2 + 1. Give c(k) - 3*f(k).\nAnswer: -6*k**3 + k**2 - 6*k - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -66\/7 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-7 + (-5038)\/(-720)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -186*x*y**5 - 2*x*y**3 - 14427*x*y wrt y?\nAnswer: -3720*x*y**3 - 12*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -221\/111 or -3?\nAnswer: -221\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 754 - -482. List the prime factors of t.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 17*y**2 + 57*y + 66. Give z(12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4311 (base 6) to base 12.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 1045?\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 7*b + 5. Let i be z(7). Solve i*d + y + y = -2, 0 = 3*d + 4*y + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1993607, 1993619, 1993631, 1993643?\nAnswer: 1993655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41508562?\nAnswer: 2, 20754281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3686237941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7*k = -10. Suppose 4 = 6*p - k*p. Differentiate -3 + 2*w**3 - p + 2*w**3 - w**3 wrt w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/54*(-57)\/(-7). Let g = -4\/9 + s. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by -1.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 3:16 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-364876)\/44 + (3 - 2) + -5. Let z = t + 8303. What is the second smallest value in z, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1777*r + 2. Suppose -95 = -9*t - 10*t. Is j(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6112 * -7.\nAnswer: 42784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -0.58, 4 in increasing order.\nAnswer: -0.58, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -2 - (6 + 0 + -13)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 371\/250 - -2\/125. What is the second biggest value in -0.07, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 + 1)*(27 + 156*338\/(-1716)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 893.71 + -4.71. Let l = n + -889.467. Round l to two decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j - 2. Let v(i) = -i. Suppose -10*x + 15*x = 2*c - 5, -x - 19 = -4*c. What is x*q(a) + 6*v(a)?\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 5*v + 3. Let c(o) = 1. Let q(g) = 5*c(g) + r(g). Let x be q(-6). Let i(s) = 2*s - 2. What is the units digit of i(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 3100?\nAnswer: 34100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -188 - -479. Let -2*r**2 + x*r**4 + 13*r**3 - 281*r**4 - 16*r - 8 + 2*r**5 + r**3 = 0. Calculate r.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 30*a + 40. Let q be n(-17). Solve -3*x - 13 = w, 2 = q*w - 110*w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4102 - 1439. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6759230*z**2 + 50781*z.\nAnswer: -13518460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25494 + -25491. Suppose -50 = -6*t + 2*t + 2*x, 2*x - 40 = -5*t. Solve -5*n = 5*g - 5 - 5, q*g = -n + t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 6*b**2 - 6*b - 1. What is the units digit of u(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9942138 hours in seconds?\nAnswer: 3579.16968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1433 - 2865 - 8*d + 1432.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-6*((sqrt(539) - (0 + sqrt(539) + -2 + sqrt(539))) + 2))**2 + (3*(sqrt(539) + (sqrt(539) - -2*sqrt(539)))**2 - ((-1 + sqrt(539))**2 + -1))*6).\nAnswer: -1031868 + 11592*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzl when three letters picked without replacement from lzlz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 157 + 152 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**2 + 1276912*a = 0. What is a?\nAnswer: -319228, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3232 - -3290. Solve -b*s = -52*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 48*q**2 - 30*q + 1. Let f(s) = -47*s**2 + 31*s - 1. Let x(g) = 4*f(g) + 5*z(g). Is x(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 0 + 23\/60*k**6 - 17*k**2 + 0*k**3 - 23\/24*k**4 + 0*k + 0*k**5. Find the second derivative of g(r) wrt r.\nAnswer: 276*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1733 + 1619 = 38*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -685*o. Let h(x) = -93*x**2 + 2*x. Calculate h(z(i)).\nAnswer: -43637925*i**2 - 1370*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from ggkggggkgkgg.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1 = 13. Let t(n) = -10*n + 2. Let f(y) = 50*y - 11. Let w(p) = -2*f(p) - 11*t(p). Let a be w(g). Calculate the greatest common factor of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 + 126*k + 59. What is the remainder when f(30) is divided by 108?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 179 = 5*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6840)\/315 + 27 + -7.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368151 is divided by 3221?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-45)*u)\/(u**(1\/7)\/u*u) assuming u is positive.\nAnswer: u**(-309\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = c + 1007*o - 1008*o, -2*c + 34 = -3*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -53 - 294*r + 292*r + 8 in the form s + t*r and give s.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 38 + 112)*(2*l + l - 2*l) + (-3 + 4 - 4)*(0*l + 3*l - l).\nAnswer: 110*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*s**3*z**3 + 2*s**3*z + 548*s**2*z**3 wrt s.\nAnswer: -186*z**3 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127836720 divided by -1162152.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 102781961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -41015013 (base 6) in base 16?\nAnswer: -11d591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 18*s = 12. Calculate the lowest common multiple of s and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 206 - 405 + 207 - 11*d as s + x*d and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4) + (-10)\/1760*-8. Which is the second biggest value? (a) -0.1 (b) -4\/3 (c) -139 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 955.2 + -1069. Let h = y + 105. What is h rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14029 + 10202 - 15516*k - 37993 wrt k?\nAnswer: -15516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7))**(5\/6))**10 assuming z is positive.\nAnswer: z**(-50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + -64. What is the second biggest value in -3\/2, q, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2059989741 or -1?\nAnswer: 2\/2059989741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**4\/4 - 4*r**3\/3 + 5*r**2\/2 - 2*r - 93. Let g(k) = k**3 - 4*k**2 - 4*k - 2. Let y be g(5). Determine t(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 + 158. What are the prime factors of h?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.24 + -0.17. Let r = -0.05 + q. Let t be (-405)\/567 + (-41)\/(-28). Which is the nearest to -2? (a) 5 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 923.5892 kilograms to tonnes.\nAnswer: 0.9235892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(2\/2)*3. Let x = w - 0. Let p = -200 - -198. Sort x, 1, p in decreasing order.\nAnswer: 1, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4)\/i)**47\/(i**(-2\/13)\/i**(1\/12)))\/((i**1)**(-45)\/((i*i*i**(-2\/17))\/i*i*i**2)) assuming i is positive.\nAnswer: i**(-6385\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -0*j - 2, 5*j = 2*r - r - 275 + 303 for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6608263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 75 = -2*z + 8*x, 4*z = 2*x + 154. Calculate the highest common divisor of z and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/2 + 3*s**4\/2 - 5*s**3 + s**2 + 9*s\/2 - 5\/2.\nAnswer: (s - 1)**3*(s + 1)*(s + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - -4507?\nAnswer: 4474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**3 - 32*w**2 - 58*w - 9. List the prime factors of h(-17).\nAnswer: 19, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 8. Let g be c(-7). Let m(x) = -3*x. Let n be m(g). Suppose -44 = -n*t - t. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) -1 (c) 0.7 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2321*h**3*w**2 + 10*h**3*w + 527*h**2*w wrt w.\nAnswer: 4642*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 - 3*s**2 + 7*s**2 + (-1 - 4 + 9)*(-91*s**2 + 5*s**2 - 80*s**2).\nAnswer: -660*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2 = -2*n. Suppose -1 = 5*o + 3*b, -3*b + 2*b + 3 = 5*o. Is o smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = 3*d - 5*l, -1019*d + 5*l = -1014*d - 95 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**6\/r**(-2\/3)*((r**(2\/3)\/r)\/r)\/r*r**(-1\/7)*(r\/((r*r**9)\/r)*r**(-4)\/r*r)**(-3\/29) assuming r is positive.\nAnswer: r**(3308\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -256 and -133.4?\nAnswer: 122.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14250707?\nAnswer: 2153, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 66*y - 1085. What is z(19)?\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - 338*k + 27746 - 27745 + 2*k**3.\nAnswer: k**3 - 338*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 e, and 1 k when three letters picked without replacement from {k: 1, j: 1, e: 1, v: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1487\/(-2974))\/((-1)\/(-1)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 16*m + 2*m**2 - 15*m - m**2 - 1. Suppose 2*i - 7*i + 20 = 0, i = -3*w + 10. Let c be u(w). Sort c, 6, 3 in increasing order.\nAnswer: 3, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2296.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016444382 to 6 decimal places.\nAnswer: 0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 2*u**2 - 3*u**2 + (2 + 0 - 3)*(3*u - 3*u + 2*u**2) + 0*u**2 + 0*u**2 - 2*u**2 + (-5*u - u + 2*u)*(-78*u - 30*u + 32*u).\nAnswer: 298*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b**2 + b + 21. Let m be 4\/(-3)*3\/(-2). Suppose -s + m = -9. Let l(y) = y**2 - 2. Let h(c) = -1. Let a(x) = 2*h(x) + l(x). What is s*a(n) + 2*t(n)?\nAnswer: n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-30 - -34 - -58 - (1 - 0)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3024, -6069, -9114, -12159, -15204, -18249?\nAnswer: -21294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**4\/24 - 7*g**3\/3 + 2*g**2 - 333. Give y(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8101897.62 to the nearest 100000.\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(1\/(50\/(-1104)) + 1918\/23975).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*3\/((-9)\/42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from dddbbbd?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1096 is divided by 181?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/35292 and 113\/84?\nAnswer: 247044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4 = -4*o + 2, 0 = -5*o - g - 3. Suppose 5*h - 3*q + 8*q - 20 = 0, -2*q = 4*h - 6. Let r be (h*o\/(-1))\/(33 - 32). Solve r = -2*p - 0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 349506648?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 63, 116, 169, 222?\n\"Answer: 53*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**5 + 15*h**4 - 274*h**2.\nAnswer: 120*h**2 + 360*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-152)\/(-32) - (-6)\/(-8). Solve -20 = -g*q - 8, -25 = 4*o - 3*q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -123 - -333. Suppose m + 230 = 5*r. Calculate the greatest common divisor of 22 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-42) - 44956\/(-28). Suppose 2*z + 2*z + 3*b = d, 3*z - 2*b - 1196 = 0. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 538, 2106, 4720, 8380?\nAnswer: 13086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*3043\/(-20406)*4\/850.\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 + 1)*26\/4*-22 is divided by 2323\/115 - 12\/(-15).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.1. Let r = 1 + -1. Let n be ((-2)\/4)\/(1\/(-2)). What is the closest to d in -5, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545\/(-45)*-3*3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 14*w - 26. Let t be a(11). Find the third derivative of -7*k**3 + 11 - t + 8*k**2 - 4 wrt k.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2\/5 - 147458*x\/5 + 147456\/5 = 0. Calculate x.\nAnswer: 1, 73728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*t - 195*t + 24 = 0. Which is the third biggest value? (a) t (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 7*r**2 + 5*r - 1. Let v be z(-6). Let q = 0.03757 - -1.96243. Which is the third smallest value? (a) q (b) -20 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-16)*16\/(-4)*(-21)\/9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 47, -2\/23, -1\/4, -0.001?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 12\/25 of a kilometer?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 + 4 = 0. Let m(y) = y**2 - 1. Let f be m(t). Suppose -3*x = -4*k + 3*k + 19, -3*x = -f*k + 27. What is the least common multiple of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l. Let f be x(2). Let n be 24\/(-42) + f\/7. Solve n*b - 2*q - 20 = -4*b, 4*q + 20 = 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**4 - 6*t**3 + 3*t**2 + t + 3. Let z(d) = -d**3 + d**2 - d + 1. Let w(i) = 2*n(i) - 6*z(i). Factor w(q).\nAnswer: -2*q*(q - 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*g + 3, 3*r + 2*g - 24 = 0. Suppose -338 = -23*k + r*k. Suppose 0*w - 4*w + 28 = 0. Calculate the remainder when k is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3443*c - 5*u = 3440*c - 8, 3*c = -5*u + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 423526612?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 + 84 = 40*j. Let m(s) = -35 + 19 + 4*s + 16 + j*s. Let x(v) = -v - 18. Determine x(m(l)).\nAnswer: -9*l - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 5*s**2 + 8*s - 8. Let h be (-15 - -14)\/((-2)\/8). Let z be v(h). What is the greatest common factor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189300.\nAnswer: 2, 3, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -360 - -336. Let f be 4*6\/i + (27 - -2). Calculate the greatest common divisor of f and 210.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23\/4 - -395\/68. Let x = 1\/3462 - -3457\/17310. Sort x, -3, 0.1, t.\nAnswer: -3, t, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + -52. Let u be (50\/12)\/5 - t\/144. Is 0 - (-1934)\/(-4)*(u - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-8) - 200\/(-52). Let x = 0.01 + -2.01. Which is the nearest to 2\/7? (a) x (b) z (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.100003*0.37.\nAnswer: -0.03700111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -791.\nAnswer: -791.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98 + 98. Solve 2*t - 4 - 6 = g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17368 and 208.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6 = 0, -5*r + 0*r = 4*v + 11. Let h be (-480)\/(-30)*(v - -3). What is the common denominator of 69\/2 and -5 + 1 + 292\/h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppncapddp. Give prob of picking 1 p and 1 n.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 498872 to the nearest ten thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-4))**(-14))**(14\/13) assuming c is positive.\nAnswer: c**(-980\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 7 = 37. Let g = -11 - a. Sort -2, g, -3 in descending order.\nAnswer: g, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*k**3 + 6*k**2 - 2*k**2 + k + k - 9*k**2 + 261 - 107*k**3 wrt k.\nAnswer: -720*k - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -130934 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 4*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -470 (base 15) to base 10\nAnswer: -1005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24550387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 13) + 1 - -22.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18087 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58938946889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -663.4 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 1265 = 5*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52 + 8*z - 16 - 22 - 17 as j + f*z and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -159101, -159903, -160705, -161507, -162309, -163111?\n\"Answer: -802*u - 158299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/186*(-444)\/74\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from vvoouuuvduuuvuu?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*p - 9*p. Let s = p + 2. Differentiate 8*j**2 - 6 + 1 + 0*j**2 + s wrt j.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11827*w - 5918*w - 5909*w + 19*w**3 - 5 + 5.\nAnswer: 19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 665081.8um to meters.\nAnswer: 0.6650818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 5*v - 18*v. Suppose o = -v*o. Solve o = -5*k + 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*f = -7, 0*v + 5*f = 3*v - 14. Suppose 0 = 4*s + 5*p + 2 + 3, -3*p - v = 2*s. Solve -4*q - 8 = -s*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppppppvvppp.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26396*g - 26391*g - 4*s = 31, -36 = -4*g + 4*s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.78 - 0.22. Let z = 8.1 - 13.7. Let t = 5.5 + z. Put w, -5\/2, t in ascending order.\nAnswer: w, -5\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32213232 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13753 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-9)*(46\/23 - -7)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 306*i - 20 - 20.\nAnswer: -306*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 4. Suppose -3*o = -t + 8, -t = 2*o - 3*o - 2. Let j be t*(4 + -1 + -4). Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 2*t**3 + 5*t**2 - 5 + 1\/2*t**4 + 0*t. Let m(x) be the second derivative of k(x). Differentiate m(d) wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(75\/(-42) - -2). Let b = 105 + -85. Let y = h - b. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -236, -401, -566, -731, -896?\nAnswer: -1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 - 33926*l. Let x(s) = 11*s**2. What is g(x(w))?\nAnswer: 484*w**4 - 373186*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 h, and 1 v when three letters picked without replacement from rhvoho.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 24*h**2 + 63*h + 349. Calculate a(7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 1:01 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/212 and 17\/3657.\nAnswer: 14628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - (44 + 9)) + 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 237 + -238. Which is the nearest to -1\/3? (a) h (b) -2\/9 (c) -2\/5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14709 (b) 4 (c) -1\/9 (d) 1\/28 (e) 3 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5121401 and 31658?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Let m be 0 + (-1)\/(r\/(-4)). Let x = -7 - -9. Solve -m*l = -l + x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1133 + 6487. List the prime factors of s.\nAnswer: 2, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 + (-249)\/(-15). Let l(d) = d**3 + 4*d**2 - d. Let s be l(-4). Suppose y = s*r + 1. Which is the smallest value? (a) r (b) -0.2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/7 and 4\/10 - (-1596)\/(-40)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (15 - 1)) + 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, d: 7, c: 2, g: 4, r: 4}. What is prob of picking 2 d and 1 r?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*u - 20*u - 14*u)*(4 - 2*u**2 - 4)*(-5*u + u + 3*u).\nAnswer: 46*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**10\/604800 - d**8\/80640 + 7*d**5\/60 - 6*d**2. Let l(i) be the third derivative of k(i). Suppose l(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**2 - 22485 + 22485 - 64*k**2.\nAnswer: -75*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 1. Let h be i(-3). Let o = h - 2. What is the units digit of (2 - 0)*7\/o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**7\/168 - 11*v**6\/120 + 11*v**5\/40 + 13*v**4\/8 - 93*v**3\/8 + 189*v**2\/8 - 697*v. Suppose a(z) = 0. What is z?\nAnswer: -3, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(2 + 5 - 6)*(-2 - 2 + 0)*(4 - 4 + 2*g**5).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 829553 divided by 20233.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 3*r + l, 2*r - 52 + 79 = -3*l - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11795\/105 + (-4)\/6. Let p = -2653\/24 + m. Is p greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-21)*-1)\/1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-2)\/6 + ((-1634)\/(-6) - (35 - 43)) and 1288.\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 7*f**2 - 20*f - 55. Is l(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-7))\/(14\/(-49)). Let g(o) be the second derivative of -m*o**2 + 2*o - 1\/12*o**4 + 0 + 0*o**3. Find the first derivative of g(q) wrt q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -18. What is the tens digit of 57\/(-4 + 57\/m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 72.186, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - l + 53 = 0, 0 = 6*s - 5*s + 2*l - 16. Let t = 10 + -14. What is the units digit of t\/s - 640\/(-45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + n = 5*t - 11, 4*n - 28 = -4*t. Let y = 403 + -242. Suppose -41 = 24*d - y. Solve -3*s - 22 = -4*q - t, d*q - 3*s - 20 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**38\/(q*q**(6\/29)*q)*(q\/q**(-38)*q*q*q)**43 assuming q is positive.\nAnswer: q**(53412\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 8835?\nAnswer: 53010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 85776.\nAnswer: 85776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*v - 2*q - 27, 5*v - 2*q - 66 = 0. Is -8 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2062076, 2062219, 2062364, 2062511?\nAnswer: 2062660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k + 20 = 0. Suppose 3*g + 0*g - 10 = -h, 0 = 2*g - 2*h - k. Suppose c + 7 = 2*c - n, -c = g*n + 13. Sort -3, 3, c in ascending order.\nAnswer: -3, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -78399, 0, 4 in descending order.\nAnswer: 4, 0, -8, -78399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19, 0, 4 in descending order.\nAnswer: 4, 2, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15274 divided by -5.\nAnswer: -15274\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1729, 7042, 15897, 28294, 44233, 63714?\n\"Answer: 1771*u**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/24*(6 - 0). Suppose 43 + 29 = a*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 762 > -0.142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -310*s + 19. Let b(x) = -465*x + 26. What is 5*b(o) - 7*z(o)?\nAnswer: -155*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6151477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2803.7 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**8\/1344 - 31*z**7\/840 + 7*z**6\/12 - 49*z**5\/20 - 93*z**2 - 5*z + 4. Factor v(s).\nAnswer: s**2*(s - 14)**2*(s - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i + 8. Let r be p(-8). Suppose -q = 5*s - 28, -q - 2*s = q - r. Suppose k - q = 21. Solve -5*u = -2*d + 15, 5*u + d - 14 = -k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 289189 or 49?\nAnswer: 289189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**3 - 5*q**3 + 4*q - 4*q.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 198\/5 + 8\/20. Let i be 304\/a - 2\/(-5). Solve -4*j + 12 = -i*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8000 - 34*m**3 + 2820*m**2 - 8800*m + 30*m**3 + 13*m**4 - 216*m**3 - 8*m**4 = 0. Calculate m.\nAnswer: 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + ((-1*sqrt(1053) - sqrt(1053)) + 4 - -5*(sqrt(1053) + 0)) + -4 + -5))**2.\nAnswer: 9477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4710*h**3*r**3 - 1883*h**3*r + 8*h**3 + 6*h**2*r - 8*h*r**3 - 6*h*r**2 + 5*h*r + 14*r**3 - 60*r wrt h?\nAnswer: 28260*r**3 - 11298*r + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*k**4 - 121*k**3 + 2*k**2 - 3576*k?\nAnswer: 1176*k - 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30749.999983741 + 30750. What is v rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oomomo. What is prob of picking 2 o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -17952 divided by -88\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-2 - (-2 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j - 3. Let q(u) = -10*u - 16. Let l(a) = -16*m(a) + 3*q(a). Let c(t) be the first derivative of 0*t + 2 + 1\/2*t**2. Calculate c(l(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1569, -1372, -1175, -978?\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/(-15))\/((-3)\/10). Suppose a*h = -h + 65. Suppose q - 4*r - h = 2, 5*r + 27 = 4*q. Solve 0*s + 1 = s + y, -q*s + 4*y = -31 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a gram in milligrams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 != 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 90329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(195)\/sqrt(5) - (sqrt(117) - sqrt(117)*-2 - sqrt(117))\/sqrt(3))\/(5*(sqrt(108) - (-2*sqrt(108) + sqrt(108)))).\nAnswer: sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*a = 977 - 335 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 + -9)\/((-2)\/11) is divided by 1 + 4 + (-4 - -2 - -11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-9)*15\/2. Suppose 3 = p*k - 22. Let j(l) = -8*l**3 - 1370*l**2 - 339*l + 518. Let c be j(-171). Solve -k*s + 0 = c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (27\/(-81) - 2\/(-6)). Solve -5*i - 12 = -c*y, 5*y - 20 = -0*y - 3*i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13638308683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-630)\/(270\/(-6))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -30b84 (base 13) to base 6\nAnswer: -1513442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0085681881 rounded to 6 decimal places?\nAnswer: -0.008568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33500?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2\/5 + 8968696*y\/5 - 10054688492552\/5 = 0.\nAnswer: 2242174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, m: 2, d: 1, z: 1}. Give prob of sequence zd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000632622 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122310892?\nAnswer: 2, 11, 2779793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 12:08 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/67464 and -41\/1044.\nAnswer: 1956456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -11*n + 4. Let j be o(1). Is j <= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 2\/23, -9, 1\/5, -0.11, -0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 262103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49771?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 85*l**2 + 45*l + 50. Let t(f) = -19*f**2 - 10*f - 11. Let b(i) = 9*p(i) + 40*t(i). Determine b(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, -3\/8, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 12. Put a, 0, 2 in decreasing order.\nAnswer: 2, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -92*q**2 + q + 1. Let m be h(-1). Let d = -47 - m. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**2 - 2577*s = 0.\nAnswer: -2577, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2523 - 3539. Let k = 1468 + h. Suppose 0 = 7*x - 11*x + k. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/62230 and 7\/40?\nAnswer: 248920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from engegngegggeeegeegg. Give prob of sequence ggg.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21456 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.6 - -25.6. Let b = 21.19 - r. What is b rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.02 (b) 3 (c) 33 (d) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 22352.\nAnswer: 201168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**(-15\/7)\/((n\/(n*n**6*n)*n)\/n*n**(1\/5))*((n*n**(2\/15)*n)\/n**(1\/2))\/(n**(-8)*n*n**4) assuming n is positive.\nAnswer: n**(1501\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j = -4*j + 1755. What is the highest common factor of 12 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-532)\/57*30\/100?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-11)\/33)\/((-1)\/(-6)). Let h be 2 - z*9\/6. Suppose h = -t, 3*t + 51 = q - 0*t. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 11:04 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 10 = -t. Let i be (16\/10)\/(4\/10). Solve 4*h = t*p + 8, 4*h - 6 = -i*p + h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.0778314 meters?\nAnswer: 0.0000778314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -18*o. Let f(x) = 8*x. Calculate a(f(y)).\nAnswer: -144*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137867 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 327, -3, 403, -15 in ascending order.\nAnswer: -15, -3, -2, 327, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 390 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3 - 114*t**2 + 3 to the form z + p*t + f*t**2 and give f.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52*122\/(-1808040)*45?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/60 - (2 - 7\/3). What is the closest to p in -14, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 702770 - 167590 = 0. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32094 + 32580. Solve -84*m + g = -30*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68.436*-33.5\nAnswer: 2292.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -178.09 - -178. Is p < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 868 is divided by 285?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/12*-2 + (-32)\/(-6). Suppose -k*f - 1580 = 13920. What is f rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k + 8. Let p be s(4). Solve 5*n - 15 - 5 = p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -11010010010101000011?\nAnswer: -11010010010100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9431, 18859, 28287?\n\"Answer: 9428*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2\/131 (b) -49 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(3\/4)*a*a**(-5)*(a**(-1)\/a)**(-17\/2))**44)**(-41) assuming a is positive.\nAnswer: a**(-28413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 20 = -2*s + y, 0 = -4*s - 4*y + 28. Suppose -2*c - s = -50. Calculate the remainder when 68 is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(768\/(-36)))\/((-3)\/22).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + 93. Let h = w + -32. Let j = 0.29 + 0.01. What is the closest to h in j, -2\/19, 2\/21?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2416179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 3, -342, 18, -5, 2, 4 in decreasing order.\nAnswer: 18, 4, 3, 2, -5, -23, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 52103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7770772.\nAnswer: 2, 19, 59, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 21*o. Let p be x(1). Let n = -17 + p. Let w be 60400001\/n + 1\/(-4). What is w rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -48, -5, -17, 3 in decreasing order.\nAnswer: 5, 3, -5, -17, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**6\/24 + w**4\/12 - w**3\/6 + 4*w**2. Let d = 199 + -198. Let z be 3\/1 + (-1 - d). Determine s(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 8*f + 248, w - 298 = 6*w - 12*f + 8*f for w.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 12*n + 31 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -47057956 at least -47057934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 11 - 3 = 0, 5*b = -z + 422. Let q = b + -29. Is q greater than 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 - 4*y**2 + y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.3, -7\/3 in descending order.\nAnswer: 0.3, -7\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1048)\/7860 + (-343)\/15.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1168, -4465, -9960, -17653, -27544, -39633, -53920?\nAnswer: -70405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 540, 995, 1570, 2241?\nAnswer: 2984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142882 is divided by 433?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 - 12*v**3 - 7*v**3 + 11*v**3 + v**5 - 16*v**2 + v**5.\nAnswer: 2*v**2*(v - 2)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 29. Suppose -1 = x + 6*w - 2*w, -w = -q*x + 30. Solve -x*m = -2*m + 2*f + 11, -5*m - 14 = 3*f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123657 and 209103.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/(-6) - 16\/24. Let m = j + 13. Solve 13 = 3*c + l, m*c + 5*l - 2*l = 23 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83435?\nAnswer: 5, 11, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 m when three letters picked without replacement from {u: 3, k: 4, d: 4, r: 4, z: 4, m: 1}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 331388 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - i - 2, 5*n + 0*i + 10 = -5*i. Let f(u) = -3*u + 6. Let j be f(n). Calculate the common denominator of 4\/j*(-17)\/7 and 70\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 7*d**3\/6 - d**2 + 71*d. Let g(p) = -17*p + 11. Let x(f) = 8*f - 5. Let m(i) = -4*g(i) - 9*x(i). Calculate 5*m(s) + 3*y(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-820670)\/(-100))\/((-5)\/(-50)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**3 - 3*r**3 + r**5 + 8*r**2 - 2*r**5 wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5617.08 months?\nAnswer: 468.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22337280*j**3 - 3399653*j wrt j.\nAnswer: 134023680*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*z - 45 = 43 - 3. Let o(p) be the first derivative of -z - 8*p - 12*p**2 + 14\/3*p**3. Factor o(r).\nAnswer: 2*(r - 2)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223 = -536*s + 12054 + 3713 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5212311 decades to millennia.\nAnswer: 0.005212311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, x: 7}. Give prob of sequence xr.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 255 and 1938.\nAnswer: 9690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 260 and 67860.\nAnswer: 67860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20064233 is divided by 1114679.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 716*c**2 + 6*c - 6. Let m(a) = -2745861*a**2 - 23008*a + 23008. Let f(o) = -11504*k(o) - 3*m(o). Let s(z) = -z. Give f(s(y)).\nAnswer: 719*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2. Let s(i) be the first derivative of -164*i**3\/3 + 143. Give v(s(u)).\nAnswer: -53792*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n*n*n\/n**(-2\/23)*n)\/n)\/n)\/n**(1\/10))\/(n*n\/(n\/(n*n**3))*n**(-5)))**(-2\/49) assuming n is positive.\nAnswer: n**(-457\/5635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 1. Let f(k) = 4*k**2 - 24*k + 5. What is -f(c) - 3*n(c)?\nAnswer: -c**2 + 24*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15000 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3340.365 times 1.3?\nAnswer: 4342.4745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvvx when four letters picked without replacement from xxvvbbbv?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (sqrt(3) - (-1 + sqrt(3))**2)) + (sqrt(3) + -3 + sqrt(108) + sqrt(3))*2.\nAnswer: -18 + 34*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -7*k**5\/540 - 23*k**4\/216 - k**3\/9 - 4*k**2 + 34. Let f(u) be the second derivative of s(u). Factor f(c).\nAnswer: -(c + 3)*(7*c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 times 61.89?\nAnswer: -4332.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -14*c**3 - c**2 + 3*c + 6. Calculate l(-2).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyln when four letters picked without replacement from {z: 2, l: 1, n: 1, y: 2, u: 6, i: 3}?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 69851.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 468500 to the power of 1\/2, to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/224 and -155\/8064?\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 2:03 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (12 + -1 - (41 + -25 - 0)) - -93?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = 18*v + 26*v + 27. Let c(m) be the first derivative of 10 + 5*m**2 + 9\/5*m**5 + 0*m**3 + 0*m + 0*m**v. What is the second derivative of c(d) wrt d?\nAnswer: 108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/35 - (-142)\/(-7). Sort o, -3, 1 in decreasing order.\nAnswer: 1, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2147?\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o - 2. Suppose -3*m = b - 4, 3*m - 2*b - 19 = -0*b. Suppose m*x + 9 = -3*z, 5*x + 0*z = -2*z - 15. Is k(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 979*x**2 - 6*x - 4. Let m(v) = -v**2 - 3*v - 2. Determine 2*m(j) - p(j).\nAnswer: -981*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7*g = 3*b - 738, 0 = 3*g - b - 547. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32104 + -210023?\nAnswer: -242132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -43786 times -11\nAnswer: 481646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/6)\/(3\/(-6)). Let r = 663.9015 - -0.0985. Let g = r + -662. Sort 1\/3, g, d in ascending order.\nAnswer: d, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -25*c + 3. Let f(w) = -w**2 - 5*w + 3. Let o be (-2)\/3 + (-64)\/12. Let k be f(o). Let m be b(k). Calculate the greatest common factor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22038.5 to the nearest 100.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 35*m = -34*m - 18784, -m + 4 = 0. List the prime factors of u.\nAnswer: 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3552 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9459407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 0)\/((-2)\/(-6)*-6). Let x be 7 - v - (-1 - 0). Let n = -13 + 19. Solve n*r = x*r + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0426 + -4438.7.\nAnswer: -4438.7426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 425?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 14*i**2 - 12*i - 4. Let p be d(13). Let m = 6 - p. Let v = m - -5. Let w(g) = g**2 - 2*g - 2. What is w(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.003 and 0.3.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 10*i**2\/11 + 14*i\/11 - 12\/11 = 0?\nAnswer: -2, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -3*v - 0*z + z, z - 86 = -3*v. Suppose -497 - v = -4*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9043 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (19 - (48 + -14)) + 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 4*o**2 + 4*o + 5. Let b be f(5). Let l be 4 - (b\/2 - (-7 - -11)). Solve -21*s = -25*s - l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i**4 - 769*i**2 + i**4 + 44 + 768*i**2 wrt i.\nAnswer: 8*i**3 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27977145 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 2, v: 1, b: 1, k: 1}. What is prob of sequence ukb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 1:55 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -0*a. Is (110 - a) + (-1 - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30510\/(-2712))\/(5\/(-12)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*y - 4265, -y - 1430 = -7*m + 4*m. Let u = 3574 + y. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -2747215\nAnswer: -2\/549443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 3*u + 6*u)*(134 + 138 - 53).\nAnswer: 219*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 320\/(-128)*4\/10. Is -2\/6383 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 2:40 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.2? (a) -1\/3 (b) -10\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 44 = 4*o, -12*k + 40 = o + 7 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2052 divided by 342\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648 is divided by 216?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f - 14. Determine i(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5138 - 5140 + 766*n**3 + 10278.\nAnswer: 766*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**(-3)))\/c)\/c)**(-2\/5)*c**5*c**6*c assuming c is positive.\nAnswer: c**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666 is divided by 132.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b. Let y(v) = -5*v. Let w(h) = -6*h. Let s(g) = -6*w(g) + 9*y(g). Let z(u) = 4*s(u) - 33*t(u). Give z(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -177 + 2*z**3 + 2*z + 228 - 4*z wrt z?\nAnswer: 6*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -731 + 325. Does 17 divide 1*5\/10 - o\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -14*s**2 + 3*s - 4. Let o(r) = -14*r**2 + 2*r - 3. Let g(f) = -3*j(f) + 4*o(f). What is the second derivative of g(h) wrt h?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 - 10*n + 5 + 8*n + 3*n to s*n + o and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 180673 less than -271883?\nAnswer: -452556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14503.\nAnswer: 14503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 54 and 4108130?\nAnswer: 221839020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -13*w - w**3 + 5*w + 6 + 3*w**2 + 8*w - 2*w. Calculate u(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 - 69*t + 408. Calculate j(7).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2370 (base 8) in base 5?\nAnswer: -20042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 z when four letters picked without replacement from qqzzzzquzzuqcqquqqzc?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -80 - 4637?\nAnswer: -4727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**7*s)\/(s*s*s*s**(-9)*s*s))\/((s*s*(s**(1\/4)\/s)\/s)\/s)**0*(s**6*s**(-5\/6))\/(s\/s**(-1\/3)*s)**39 assuming s is positive.\nAnswer: s**(-443\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*y - 315 = 6*y - 1940 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1003 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -282*h**6 - 6*h**3*l - 5*h**3*o - 9*h**2*l*o - 29*h*l*o - 630 wrt h.\nAnswer: -33840*h**3 - 36*l - 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2379, 2138, 1477, 186, -1945, -5126, -9567, -15478?\n\"Answer: -35*c**3 + 4*c + 2410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32394 - 2?\nAnswer: -32396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -611, 9, -2, 4, -5, -12 in ascending order.\nAnswer: -611, -12, -5, -2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67046, 70164, 73282, 76400?\nAnswer: 79518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*y + x - 68, -5*y - 5*x + 110 = 0. Suppose 5*j = k - y, 5*k = 6*j - 11*j + 25. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31491*f**2 - 31503*f**2 - 31500*f**2 + 94514*f**2.\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u + 3. Let r be c(3). Suppose 4*d + 1 - r = -2*v, 0 = -3*v - 2*d + 32. Calculate the least common multiple of ((-6)\/5)\/(3\/(-10)) and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 13 - 3*c**3 + 2*c - 3*c + 2*c + 5*c**2 + c to the form p*c**3 + f + r*c + o*c**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyf when three letters picked without replacement from {y: 5, f: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, -5\/7, -2\/7, 2\/9, 4.7, -1\/17, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26069, 104214, 234459, 416804?\n\"Answer: 26050*c**2 - 5*c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxppypppppypxp. Give prob of sequence yyxp.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 - 6*z**2 - 3*z + 1. Calculate the remainder when a(5) is divided by ((-32)\/4)\/(57\/(-114)) - -9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**3 - u**2 + 141*u + 15. Calculate m(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2902, 5801, 8700, 11599?\n\"Answer: 2899*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 9 + 7 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/162)\/((-1)\/6)*27\/18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 240917*j. Let g(k) = 684*k + 2. What is v(g(c))?\nAnswer: 164787228*c + 481834","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)\/i)\/(i**(1\/4)*i)*i*i*i**(1\/3)*i*i*i**(-2\/3) assuming i is positive.\nAnswer: i**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + 110010220?\nAnswer: 110010232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 34492*c + 345120.\nAnswer: -2*(c - 10)*(c + 17256)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 893 + -11ba?\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*d = 321*d - 636*d + 90 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 2:42 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (121\/11)\/11*-7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 4:24 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from vrqqvvqqqrqrvvqrqr?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 11*k**2 + 11*k + 24. Suppose -w + 15 = -s - 4, 0 = -3*s - 21. Calculate x(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 8 - 4. Factor -2*u**3 + 2*u**2 + u**4 + 2*u - u**x - 2*u**4.\nAnswer: -2*u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 5*t**2 - 5*t + 6. Let g be k(4). Suppose 3*y = -g*s + 422, -4*s - 4*y = -1195 + 355. Does 14 divide 1*5*s\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127*q**3*y**3 - 15145*q**3*y + 158*q**2*y**3 - q**2*y**2 + q*y**3 wrt y?\nAnswer: 762*q**3 + 948*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2 (c) 196 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8 - 27 = -5*d, -3*d = 4*a - 37. Let p = d - -2. Solve -2*i - p = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*h - 7 = 0, -2*f + 7*f - 5*h = -15. Let v(x) = -10*x + 18*x**3 + 0 - 19*x**3 - f - 3*x**2 + 15*x**2. What is the tens digit of v(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 770\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 5 + -7 - (27 - 13).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from jjlxlcw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 120377471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8503024 a multiple of 930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**6\/40 + o**5\/20 + 5*o**4\/6 + 11*o**3\/2 - 18*o**2 + 1. Let j be p(-2). Put -7, j, -3, -2 in decreasing order.\nAnswer: -2, -3, -7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: da52b8 (base 15) to base 11\nAnswer: 5960427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 49\/21 + (-4)\/(-6). Let s(z) = -3 + x - 5*z. Let n(v) = -3*v**2. Give n(s(i)).\nAnswer: -75*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 + -2. Let j(f) = 7*f - 20. Let m be j(4). Let s = m - 22\/3. Put r, s, 3 in descending order.\nAnswer: 3, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kukkukkkkk. What is prob of sequence kkku?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 3*j - 3. Let n be t(2). Sort n, 3, 1 in decreasing order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 908 + -907. Is t equal to -181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19651*(19 + -14 - (6 + -2)).\nAnswer: 43, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k - 73. Let h(g) be the third derivative of g**5\/10 - 2789*g**2. Calculate h(n(c)).\nAnswer: 150*c**2 - 4380*c + 31974","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -49*x**3 - 4*x**2 - 5*x - 1. Determine i(-1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*o**3 - 88*o**3 + 49*o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**4 + 35*q**3 - 1992*q - 152213 wrt q?\nAnswer: 8*q**3 + 105*q**2 - 1992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -222346+16443.1817\nAnswer: -205902.8183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 27. Let m(n) = n**2. Give m(o(c)).\nAnswer: c**2 - 54*c + 729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 299*c**5\/5 - 830*c**3\/3 - 793. Find the third derivative of y(j) wrt j.\nAnswer: 7176*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/32 + 249\/4. Suppose 2*l = -3*b + 171 + j, -2*l + 4*b = -226. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 8\/3*b**3 + 0 + 7*b**2 + 4*b + 1\/6*b**4. Factor p(v).\nAnswer: 2*(v + 1)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/135)\/((-4)\/5)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7583 - 248?\nAnswer: 7335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {e: 1, b: 1, w: 1, u: 1, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 691977\/(-3226)*1\/(-33).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a. Suppose 10 + 12 = 11*c. Let y(q) be the first derivative of 0*q + 4 - 1\/2*q**c. Give p(y(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - -62d97a4?\nAnswer: 62d97b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.723 - -0.77. Round t to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 5, -0.01, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12)\/((-12)\/(-180)*-5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 4*w**2 - w - 2. Let n be m(2). Suppose 0 = 4*o + 253 + 71. Let g = o + 893\/11. What is the second smallest value in g, n, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138 - 68. Let z = -213 + l. Let q = -142.999937 - z. What is q rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70011.68 kilometers to millimeters.\nAnswer: 70011680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5\/5 - 46*v**4 - 21954*v**3\/5 - 343466*v**2\/5 - 1315576*v\/5 - 1429176\/5 = 0. Calculate v.\nAnswer: -47, -14, -3, -2, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -5*l - 22. Let g = 36 + l. Let u be (-4)\/g + (-55)\/(-25). Solve m = -u*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -15294564\nAnswer: 1\/5098188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*(-3 + sqrt(325)) + 3.\nAnswer: 2 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(12)\/(sqrt(4)*-5).\nAnswer: -sqrt(3)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -3. Let c be (27\/(-12))\/((-4)\/16). What is the greatest common divisor of p and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*p - 1164*p - 51450 = -600*p for p.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from {t: 12, i: 1, x: 6}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 3*y + 3*y)*(0*y - y + 3*y) + (14 - 19*y - 14)*(-1 + 1 - y)*(1 + 2 - 8).\nAnswer: -97*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from ywwglgymybwyy.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(4*(0 - 1\/2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18758 is divided by 6252.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 21450.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(2299) + sqrt(19) + (2 + sqrt(475))**2 + ((-2*sqrt(1900) - (sqrt(57)\/sqrt(3) + -3))*-6)**2.\nAnswer: -4482*sqrt(19) + 302447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/560)\/(1\/49).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -245 divided by 17\nAnswer: -245\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyxyxjyywwxwp. What is prob of picking 3 y?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1450, 2922, 4394, 5866, 7338?\n\"Answer: 1472*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17826.\nAnswer: 2, 3, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2321050 + 12?\nAnswer: -2321034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**2\/2 - 2812. Let o(l) = -2848*l. What is o(g(n))?\nAnswer: -2848*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10846.019 rounded to the nearest 100?\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 12:50 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -24*w - 45. Let g(z) = 3*z - 1. Let f(t) = 5*g(t) + k(t). Let n be f(-6). Sort -4, -3, 13, n.\nAnswer: -4, -3, n, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06, -1\/3, -0.2, 0.03?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 2865*z - 28750.\nAnswer: (z - 2875)*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 3 = -10*n + v, 0 = 4*n - 4*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgvvggvvvgvmgvmggv. Give prob of sequence vg.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -2\/3 (c) 5 (d) 36 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**2 - 4*c + 4. Let z be s(-2). Let q be (3\/2)\/(6*(-1)\/z). Calculate the highest common divisor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 11) in base 6?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 + -d6735?\nAnswer: -d671b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -1.2. Let x = k - 0.94. Let j = 4.77 - -0.23. Which is the biggest value? (a) j (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.394 + 4.394. Sort 5\/6, f, -0.3 in descending order.\nAnswer: f, 5\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1356*v + 210221. Give w(-155).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -274 divided by 5?\nAnswer: -274\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 827439 - -2561. Round d to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(850) + sqrt(850) + sqrt(850)*-2*1 - sqrt(850))*2)\/(((sqrt(384)*1 - sqrt(384)) + sqrt(384))\/(-2*-2*sqrt(12))).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 16, -3*r + 24 = r + 4*k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-4)*(-2)\/3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2209 or 161278\/73?\nAnswer: 2209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 542 (base 6) in base 2?\nAnswer: 11001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29847144?\nAnswer: 2, 3, 1243631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/16650 and -64\/675?\nAnswer: 49950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 18*p - 13. Let r be t(10). Let f(s) = s**2 + 7*s + 8. Let u be f(-6). Solve 3*m - 18 = 3*z, u*m - r = -3*z - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228687, -457371, -686055, -914739, -1143423, -1372107?\nAnswer: -1600791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -7*b**3 - 4*b**2 + b + 7. Let z be f(-4). Calculate the greatest common divisor of 43 and z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**3 + 48971097*j**2 - 48971097*j**2.\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470*l = -468*l - 6. Suppose 3*w - 661 = 37*c - 42*c, -l*c = -2*w + 447. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 182.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 2*f. Let s be -2*(2*-2)\/4. What is the second derivative of s*q**5 - q**5 + f*q - q + 3*q wrt q?\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 12*c + 6. Let p(o) = -o - 1. Let a(u) = 18*p(u) + 3*y(u). Let f(k) = -k. Give a(f(m)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117634*y**4 + 6*y + 2416 wrt y.\nAnswer: 1411608*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 + c - c + 2 + c**2 - 2 + (0*c + c - 2*c)*(-4*c + 4*c - 2*c) - 51*c - 3*c**2 + 2*c**2 + 60*c.\nAnswer: 3*c**2 + 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 4:17 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-6)*0)\/(-2). Suppose 13*q + 5574396 + 3980604 = y. What is q rounded to the nearest ten thousand?\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 3. Solve -5*u = -p + z, -8 = 3*u + 2*u + p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5951*n**4 - 2*n**3 - 44809*n**2 wrt n?\nAnswer: 142824*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 4*u = 6. Let k be (3 - 7 - -3) + u. Suppose -k*h - 2*h + 3 = -o, o - 5 = 2*h. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 8) + -3 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 11*h**2 + 4*h**2 + 5*h**2 - 2*h + h**3 - 3*h**4 as k + t*h + m*h**4 + x*h**3 + o*h**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 (base 9) in base 16?\nAnswer: ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*1\/((-4)\/6). Suppose -5*o = 4*d - 2, 5 + 5 = 2*o - k*d. Suppose -o*i - 25 + 119 = 0. What is the remainder when i is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289 = -5*i + 12*a - 301, -3*a = -i - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 18. Calculate the common denominator of (-8)\/52 - 15488\/(-624) and (38\/u)\/((-66)\/4).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5657 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171603 is divided by 401?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 - 607 = 291*v + 127. Suppose 0 = -j + 2*g + 8, -29 + 9 = -j - 2*g. Let x(m) = 10*m + 2 - j*m - 5. Give x(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3261 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - 4*g - 7. Let v = 10 + -7. What is the remainder when 29 is divided by u(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6333 or -6291?\nAnswer: -6333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 6104?\nAnswer: -6104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355437.\nAnswer: 383, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 728 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 61. Let k(u) = 3*u + 40. What are the prime factors of k(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5764\/12969*(-252)\/((-4)\/(-1))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78514*o**2 + 39247*o**2 + 39247*o**2.\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(0*n + 0*n - n)*(-1 + 0 + 3)*(-10*n**3 - 4*n**3 - 26*n**3).\nAnswer: -160*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - a = -1 + 56, -a = -b + 19. Suppose 5*c - 4*n = 8, -b*c + 26 = -13*c + 2*n. Solve 2*f = -2*w - 6, c*w + 2 - 10 = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**2\/2 + 1. Let d be l(5). Let q = -393 + 418. Solve -4*h - 2 = d*i - q, -5*h = 5*i - 25 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-480)\/80)\/120*-4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w = 199 - 91 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 473042 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 101332 (base 6) to base 3\nAnswer: 102010202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/1)\/2 + 9 + -7. Sort -1, w, 11 in ascending order.\nAnswer: -1, w, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51324 divided by 2105?\nAnswer: -51324\/2105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 849333223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -899 take away 1.3?\nAnswer: -900.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 54, 0 in increasing order.\nAnswer: -5, 0, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 10*d + 1. Let k be n(3). Suppose -5*v = -10, 0*v + k = 5*w + 3*v. Let c = 8 + w. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82450)\/2125*15\/(-6)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 9*m - 24. Which is the smallest value? (a) m (b) 0.5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 66 in 0.47, -8, -1, -2\/3?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4477 is divided by 112.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -585\/59 - -111293\/10915. Is 0 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*q**5 + 5*q**2 + 101*q + 5*q**2 - 101*q wrt q?\nAnswer: -480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 82 = 30. Let t = i - -9. Suppose -2*p + t = -23. Calculate the greatest common divisor of 110 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121 - -123. What is the second smallest value in -1\/4, r, -3, 2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ca1b (base 16) in base 11?\nAnswer: -35966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -74*b - 19. Let v be u(-3). Suppose -v + 643 = 5*h. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**4*q**3 - 189805*i**4 - 11*i*q**3 - 4*i*q**2 + q**2 - 26 wrt i.\nAnswer: -24*i**2*q**3 - 2277660*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 3 - 2 + 2*b**3 + 8*b**2 + 7. Let i be g(-8). What is the second derivative of 20*l + 9*l**i - 5*l**2 - 4*l + 5*l**2 wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -266*a - 102.\nAnswer: -266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 8995973 = -17701614. Let q = v + -10002413. Round q to the nearest 1000000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 19, 2\/7, -1\/2, 59, 2\/23?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 5585402?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 x when three letters picked without replacement from xzzzqxzkqqxz.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -q - 830, -10*q - 855 = 5*m - 14*q. Let f = m + 328. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54622496?\nAnswer: 2, 17, 31, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 plus 40?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**2 + 3 - 3)*(37*j**2 + 286 - 287 - 97*j**2) in the form x*j**3 + o + m*j**4 + b*j**2 + g*j and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 6:06 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*y + 25, -3*t + 1 - 16 = 0. Solve 3*m + 15 = -0*m + f, y = -2*m - 5*f - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.97 - 2.32. Let m = s - 0.71. Let y be ((-4)\/8)\/(3 - 1). Which is the closest to y? (a) m (b) 6\/5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**4 - 3*h**4 - 3*h**4)*(220 + 1334 + 1088 + 306 + 145).\nAnswer: -9279*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 109, 116, 123, 130?\n\"Answer: 7*v + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**5 + 12*n**4 - 168*n**3 + 138*n**2 + 165*n - 150 = 0.\nAnswer: -10, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*f + 8 = 0, 4*j + 2*f = 1 + 7. Suppose -83 = -u - j*b, 2*u + 0*u - b - 161 = 0. What is the remainder when u is divided by 25*15\/25 - (-4)\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 1\/3*v - 1\/6*v**2 + 1\/2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**4 - 5*d**3 - 10*d**2 = 0 for d.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - (88\/14 - 1)) + 1. Let u = -13.01 + 18.01. What is the nearest to -2\/3 in -2\/13, d, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from {x: 1, m: 6, n: 2, c: 3, u: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 6:52 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*q - 96 - 112 = 210*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3682147.\nAnswer: 7, 103, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 5*v**2 - 4*v**2)*(-2*v + 3*v + v) - 3*v**3 + 5*v**3 - v**3 - 20*v**3 + 24*v - 24*v.\nAnswer: -21*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 71*k - 81 = -72*k, 0 = -6*u + 3*k + 114. Solve -u*p - 4*p = 84 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2624\/(-2829))\/(-32))\/(-4*1\/(-3))?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9553893 is divided by 123.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23, 2\/105, 0.287?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -537*h**2 - 821?\nAnswer: -1074*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 5*r - 4. Let q be x(4). What is the units digit of (1 + q)*13 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137652901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*m = -693, 0 = 4*z + 141*m - 136*m - 897. Calculate the lowest common multiple of ((-9)\/(-6))\/(3\/36) and z.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24789738?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*(sqrt(13)*4)**2 + -4 + sqrt(325)*4.\nAnswer: 20*sqrt(13) + 6236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 7586216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by 1.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 7*s**5\/60 + 12*s**2. Let t(p) = 2*p - 3. Let i(f) = -10*f + 14. Let v(x) = 3*i(x) + 14*t(x). Give b(v(r)).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n + n**2 + 0*n**2 + 4*n. Let y be z(-1). Sort y, -5, 2 in decreasing order.\nAnswer: 2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 + f + 2. Give c(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(7) - sqrt(343)))\/(-4*sqrt(40)\/sqrt(5)).\nAnswer: sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*b = 0, 3*b + b + 14 = 3*x. Solve 0 = -x*q + 4*q + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/120 and 85\/12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000464 rounded to seven dps?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 28*n**5 + 10368*n**4 + 200612*n**3 + 632432*n**2 - 619440*n - 224000 = 0.\nAnswer: -350, -16, -5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32151\/86 not equal to 373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 10:51 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.405787704 to 2 dps.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -361?\nAnswer: -2\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 30, -2 in descending order.\nAnswer: 30, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190828.\nAnswer: 2, 11, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-314)\/(-4710))\/((-4)\/140).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78504?\nAnswer: 2, 3, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(968))\/(2*(sqrt(4) - (sqrt(4) - sqrt(16)\/(sqrt(16)\/sqrt(4))))))**2.\nAnswer: 121\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 - -9 - 4) + (-365)\/73)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1111.1 + -1111. Let w be 6\/15*2\/4. Let t = 35 - 38. What is the closest to t in 0, r, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/40 and -79\/1395?\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -55*p - 15. Let a be b(-5). Let v = -440 + a. Round v to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*c - 106*c**5 + 46*c**5 + 43*c**5 wrt c.\nAnswer: -340*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38636489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or -11336?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -149*t**4*x**2 + 3*t**4*x - 4*x**2 - 23 wrt t?\nAnswer: -596*t**3*x**2 + 12*t**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 18. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l - 7. Let x be (-5)\/(-25) - 9\/30*-176. Let u = x + -48. What is h(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1976213 is divided by 3743.\nAnswer: 3652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13951044.\nAnswer: 2, 3, 387529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**5\/6 - 11*l**3\/6 + 12*l**2. Differentiate c(x) wrt x.\nAnswer: 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*i - s - 108, 3*i = s - 97. Let g = -18 - i. Let f(j) = j**3 + 6*j**2 - 4*j + 3. What is the remainder when f(-4) is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35156, 39233, 43310?\nAnswer: 47387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + j - 6 + 3)*(-3*j - 3 + 3*j + j**2).\nAnswer: j**3 - 2*j**2 - 3*j + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169800256 to the nearest integer?\nAnswer: 13031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-960)\/42 + -46 + 16 + 52?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -2*c**7\/105 + c**6\/24 - c**5\/60 - c**2 + 2*c. Let k(w) be the first derivative of i(w). Factor k(l).\nAnswer: -l**2*(l - 1)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14611867 is divided by 623?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/7 (b) -1\/4 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3*9*120\/40?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-6)\/(-10)))\/((-45)\/(-18)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 9. Which is the nearest to 0.1? (a) 0 (b) -1\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3 + sqrt(1216) + 0 - (-1 + -2*sqrt(1216))) + 3)**2.\nAnswer: -96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3 = 22. Suppose -w*c + 8478 = -13952. Suppose 6*t - 776 = c. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**2 - 95*q - 1. Let i(a) = -19*a**2. What is s(i(n))?\nAnswer: 2166*n**4 + 1805*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or -130\/11?\nAnswer: -130\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422 = 4*g + 4*a + 6, -4*a = 5*g - 515. Suppose o + o + g = m, 2*o = -5*m + 471. Suppose 103 = -6*h - m. Round h to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.38 + 2.38. What is the nearest to -0.1 in h, -2, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-3)\/(-2)*16\/(-1416)). Let d = m + 113. Let x = d - 53. Is x not equal to -1\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(-1410)\/24 - (3 - 4). Suppose -261 = 5*z - q. Which is the smallest value? (a) 1\/11 (b) -2\/15 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7595 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from bgltzdbtg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 8*x + 47. Let b be o(-6). Let y be (-2)\/4 - (175\/10)\/b. Suppose -5*n + 2*d = d - 39, 0 = 3*n + d - y. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -12. Suppose 0 = 5*s + 2*m + 3 - 11, 0 = s - 2*m - b. Differentiate 5*z + 0 - s*z + 1 with respect to z.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 917, 1961, 3123, 4403, 5801, 7317?\n\"Answer: 59*v**2 + 867*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - -826888.835583.\nAnswer: 826894.835583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -7064046 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -617*h*n**2 + 2*h*n*s**2 + 28*h*n - 104*n**2*s**3 - 10*n*s - 5*n + 2*s**3 wrt n?\nAnswer: -1234*h - 208*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/40)\/(6\/16*-2). Which is greater: -0.2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**3 + 3*u**3 + 0*u**3)*(-1691*u + 896*u - 469*u) + u**4 - u**2 + u**2.\nAnswer: 2529*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 325 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 4*u + 8 = 0. Suppose u*f - 229365 - 286625 = 0. Suppose 0*q + o + f = 3*q, -4*q = -5*o - 343975. Round q to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -34, 149\/3, 3, 5, 0.1, -3?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-12))\/(((-628)\/(-12276615))\/(2\/(-5))). Which is greater: h or 1304?\nAnswer: 1304","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 12244*h - 3229. Let j(k) = -6129*k + 1615. Let v(a) = 13*j(a) + 7*y(a). Differentiate v(p) with respect to p.\nAnswer: 6031","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 1, k: 1, n: 2, i: 1, z: 1}. Give prob of sequence nm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6, 0.2, -6\/11, 10\/21, -32?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -154*f + 1027. Let n(s) = 58*s - 388. Let h(u) = -37*n(u) - 14*p(u). Let o(l) = -4*l - 1 + 4 + 6. Calculate -5*h(c) - 12*o(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 1 = f. Let h = 340 + -360. Let g(u) = -12*u - 238. Let l be g(h). Solve 4*q = 5*q + 5*c - 6, f = -l*q + 4*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 4*b - 1. Suppose 0 = -5*a - d + 71, 2*d - d - 1 = 0. Suppose 0 = -2*k - 3*o + a, 0*k - 2*k = -4*o. Suppose y = -k*y - 25. What is v(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/4 in -0.3, -99, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 9 + 6. Suppose 0*c - 30 = -5*j - 5*c, 12 = j + a*c. Let p be 24\/4*8\/6. Solve 4*h - 2*k = -4*k - 24, -j*h = -5*k - p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5*z + 3, 5*t - z = 32 + 28. Calculate the remainder when 802 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 5, -62 = 2*x + 5*u - 69. Solve -5*w - x*i + 7*i = 7, 4*i = -5*w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6048)*1*4 - sqrt(6048)) + sqrt(6048))*-3)\/((sqrt(864) - sqrt(864)*1)*-3 - (sqrt(864)*-2*6 + sqrt(864))) + -1.\nAnswer: -12*sqrt(7)\/11 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -8. Let b be o*(2 + (-30)\/9). Suppose -11 = -b*s + 1. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = l + 1, -4*l = 3*n + 4 - 2. Let q be n\/8*10\/(-20). What is the smallest value in -1\/6, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119381 is divided by 416.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 492*a**4 + a**3 - 174*a**2.\nAnswer: 11808*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, 0, -0.2, 0.42?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 - 3*l**3 - 2*l**3.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 3*m + 20 = 0. Suppose 0 = -m*i + i. Solve i = -q, 0*k = k - 4*q + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**5\/60 - 5*q**4\/24 + 2*q**3\/3 + 4*q**2. Let t be a(4). Solve -5*z + 20 = -t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(2057) + 3 + sqrt(153))*3)**2.\nAnswer: 252*sqrt(17) + 29997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c + 6. Suppose -4*q = c*f - 144, q + 10 = 2*f + 35. Is q - (-3)\/(9\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*d - 18 = 3*d, -4*y = -5*d - 21. Is 7 a factor of 30\/4 + y\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*h - 861, -2*h - 5*x - 363 = -4*h. Calculate the remainder when h is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001462 rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + (sqrt(22) - -6*(sqrt(22) - sqrt(22)*2)))\/sqrt(2).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-6)*(-12)\/(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v - 3. Let b be 2 - (-3 + 21\/3). Give m(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 2*z**2 + 3*z + 1. Let d(n) = -n**3 + n**2 + n - 1. Let y(f) = -2*d(f) - m(f). What is the units digit of y(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6633*q**2 + 16083 wrt q?\nAnswer: 13266*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 0 (c) -1\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 5*j**2 - 2*j. Let g(l) = l**2 - 4*l. Let u be g(2). What is c(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-70)\/4) - (-122)\/14. Let a be n\/(27\/6) + -22. Let b = -18 - a. Sort 4, 0, b in increasing order.\nAnswer: 0, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -22. Let u be (1\/y - 1)*(9 + -11). Solve -c - r = 8, 2*c + u*r + 15 + 5 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 36 = 2*f, 30*f = z + 35*f - 36. Solve -36 = -z*l + 72 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 330060077 - 1224522907389\/3710. Let n = k + -17\/371. Calculate the common denominator of n and -109\/322.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -2514.1\nAnswer: -10056.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**5 + 4*s**3 - 980*s - 1?\nAnswer: -40*s**3 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 56578176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30\/35)\/(4\/14). Suppose 31 - 13 = n*c. Solve 3*w = 3*b + 2*w + 13, 2*b = 2*w - c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -172 or -170?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4669975 or 4669973?\nAnswer: 4669973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 20. Suppose d + 3 = 2. What are the prime factors of 2\/(-6)*(d + s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*g - 340. What are the prime factors of g?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95.99478 + 96. Round w to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 10 = 9*l. Suppose -m - 53 = -5*i - l*m, 5*i = 4*m + 38. Calculate the highest common divisor of 70 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16826*q**3 + 4*q**2 + 387253*q?\nAnswer: 100956*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-28))\/(-1))\/((-269 - -299) + 1086\/(-36))?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v + v - 7*v)*(-v**2 + 3*v**2 - 3*v**2) + (-481371 + 481371 - 1124*v)*(-2*v + 2*v - 2*v**2) to the form i*v**3 + a + x*v + w*v**2 and give i.\nAnswer: 2252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**4 - 3*p**4 - 3*p + 2*p + 2*p**3 - 5*p**4 - 10*p to n*p**4 + a + j*p**2 + c*p**3 + g*p and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/16 and -67\/50.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u*u**(1\/19)\/u))\/u)\/(u\/(u\/u**28)*u*u)*(u**(4\/19)\/u*u*u)\/(u*(u*u\/u**(-1\/14)*u)\/u*u))**(-45) assuming u is positive.\nAnswer: u**(405945\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 5. Let z(b) = -b**2 - 4*b. Let p be z(-3). Suppose 6*d - p*d = 2*w - 11, 5*d = -2*w - 45. Let i = -7 - d. Determine f(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r = 84479 + 6941. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136883337.\nAnswer: 3, 17, 2683987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1255782 - 1265931 = -199*m for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 36 = 34. Suppose 4*h - 5 = 59. Calculate the lowest common multiple of h and k.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 861293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 440? (a) 1\/2 (b) 4\/7 (c) -5 (d) -4 (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -5, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d = -1519 + 1519 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 4:59 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11*2076.2416.\nAnswer: -228.386576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i + 19. Calculate l(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0475 + 26.4875. Let p = b - 26. Let u = -0.440033 + p. What is u rounded to 6 dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0139, -2\/7, -0.5, 0, -2.\nAnswer: -2, -0.5, -2\/7, -0.0139, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123423727*m**3*x + 51733*m**2*x + 2627*m*x wrt m.\nAnswer: -740542362*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**5\/2 + 17*i**4\/2 - 19*i**3 - 34*i**2 + 84*i = 0?\nAnswer: -2, 0, 2, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10 + 381\/15. Suppose 5*x = 7*x. Suppose -3*b - 2*b + 2*a + g = x, 3*b = a + 14. Solve 0*j = b*j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 307*q**2 - 5*q - 6 - 306*q**2 + 4 - 5*q + 0. Let c(j) = j**3 - 6*j**2 + 7*j - 2. Let t be c(5). Determine w(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.56 - -1.5. Let t = 0.32 - x. Round t to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133534 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 842, 752, 518, 74, -646, -1708?\n\"Answer: -11*a**3 - 6*a**2 + 5*a + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -28. Calculate the common denominator of (-298)\/54*3\/(-2) and (6\/32)\/(b\/(-426)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2758028, -2758030, -2758032, -2758034, -2758036, -2758038?\n\"Answer: -2*v - 2758026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 282*s**3 - s**2 - 892*s + 14349432 wrt s.\nAnswer: 846*s**2 - 2*s - 892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2*j**4 - 2*j**2 + 3*j**3 + 1\/2*j + 1\/2*j**5 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide (-28)\/24*-6 - 263*-18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 58*a - 55. What is the units digit of x(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15735771 is divided by 57?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33.32 - 34. Let o = x + 0.58. Let f = 593\/8 - 74. Which is the closest to o? (a) -0.4 (b) f (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24034 (base 6) to base 15.\nAnswer: -106d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*b**3 + 46*b**3 + 44*b**3.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-17)*k)\/(k\/(k**(-4)*k)))\/((k*k**(8\/3))\/k*k\/k**6) assuming k is positive.\nAnswer: k**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 2*a + 48. Suppose -w - 77 = -a*w. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m - 3 - m**2 + 4 - 4. Let g be f(-3). Let u = 14 - g. Is u equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764453089 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*u - 14. Let m = 3 - 1. Calculate the common denominator of u\/24 - 283\/(-12) and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -16, -53, -116, -211?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5171300 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4817792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2\/9 - 2*p = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**5\/30 - 5*p**4\/24 + 5*p**3\/6 + 2*p**2. Calculate j(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*d**2 + 0 + 16\/7*d.\nAnswer: -4*d*(d - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1642, -6545, -14712, -26143, -40838, -58797?\n\"Answer: -1632*f**2 - 7*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 2*u - 4. Let y be n(-5). Is 9783\/y*(-4)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002310988 to six decimal places.\nAnswer: -0.000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-4)\/(-16)*2\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/2*b + 27\/4*b**2 - 3 + 39\/8*b**3 - 9\/8*b**5 - 3\/2*b**4 = 0. What is b?\nAnswer: -2, -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-6)\/(-18)*-2)\/(28\/123) and 63\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 717284598 or 717284597?\nAnswer: 717284598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 23*d**2 - 23*d + 26. Give r(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 2:01 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1427, 2854, 4283, 5714, 7147, 8582, 10019?\n\"Answer: y**2 + 1424*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 greater than or equal to 21218962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -1, 7, 11 in descending order.\nAnswer: 11, 7, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 225*y**2. Let o(v) = -147*v - 154. Let i(n) = 4*n + 4. Let u(h) = -77*i(h) - 2*o(h). Give a(u(g)).\nAnswer: 44100*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**3*i*u**2 + 429*h**3*i*u - 3*h**3*u - h**2*i*u**2 + 5*h**2*i - 3*u**2 + 11*u wrt h?\nAnswer: -6*i*u**2 + 2574*i*u - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**4 - 4*y**3 - 2*y**2 + 12*y - 3. Factor l(c).\nAnswer: 4*(c - 3)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-39)\/234)\/((-2)\/6))\/(-1). Let r = 10.7 - 10. Which is the nearest to z? (a) -3 (b) r (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a**2 + 2*a - 4. Let j(m) = 7*m**2 - 2*m + 5. Let x(c) = -5*j(c) - 6*y(c). Let k be x(3). Suppose k*u + 2*u = 4. Is -2 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6*b + 292 = 0. Let y(i) = -13*i - 56. Let s be y(-6). Find the common denominator of b\/12 + s\/33 and -20\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 5 - 1)*(-5 + 2 + 1) - 7 + 6 + 5)*(8*r - 2*r - r).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 120*p + 12 - 2 + 50*p.\nAnswer: -70*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*x = 740, -679 = -3*l + x + 69. Calculate the highest common divisor of l and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1263443 is divided by 421145.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/109, 0.1, -0.1, -8 in increasing order.\nAnswer: -8, -0.1, -2\/109, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 75.3 (b) -2\/13 (c) -0.9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11\/4, -4, 0.0886, -24\/7, -2\/3?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -43 (c) 0.5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 66441\nAnswer: 2\/66441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 266201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 3*l = 10*c - 1327, 2*l = c - 1302. Let g = -143010\/109 + c. Is g bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -62, -32, 20, 100, 214?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 370662008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 10) to base 13.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-10) - 31\/5. Let f(z) = -7*z**2 + 12*z. Let n(h) = -13*h**2 + 23*h - 1. Let d(v) = u*n(v) + 11*f(v). Is d(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-8))\/((-15)\/60). Suppose 0 = -3*p - n*t + 4838, -4*p + 3*t = -2333 - 4166. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234 and 111582?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + 145?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 58, 54, 46, 34?\n\"Answer: -2*v**2 + 2*v + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3790586 = -p + 5*x + 3790577, 4*p - 2*x - 36 = 0 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 6. Let d = w - -13. Suppose d*k = 6*k + 64. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*o + 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 10:12 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22273 - 22291. What is the closest to -0.1 in 3, -1\/2, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 - p**3 + p**3 + (2 + 1 - 2)*(2*p**3 - 3*p**2 + 3*p**2) + 5*p**3 - 4*p**3 + p**3 - 33*p + 5*p**3 + 33*p - 120*p + 120*p + 68*p**3.\nAnswer: 78*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c. Suppose 6*o = 26*o - 1720. Let n(x) = -o*x - 3*x + 21*x. Determine n(h(a)).\nAnswer: -68*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3*(-4)\/(-10))\/(6\/20). Is (-78)\/j*((-28)\/6 - 0) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -87, -0.1, 2\/4199, 0.2, -0.2, -1\/6, -2.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + -158994)\/(-7) - -3 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 404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63520 and 57168?\nAnswer: 571680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*(0 - (-1)\/2). Suppose 0 = -2*c - 0*c + 8. Suppose 0*s = s - 2*w - c, -3*s = -5*w - 8. Sort 0, n, s in descending order.\nAnswer: 0, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - b - 11 = 0, 5*b + 8 = -7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54083 - 54083 + 1248*u)*(-u**4 - u**4 + 4*u**4).\nAnswer: 2496*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3 - 4 + 2*g + 27. Let v be n(-7). Suppose v = p + 3. Solve -3*z = -4*b - 15, -b - 3*z + 15 = -p*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1255 + -1258. What is the biggest value in 3, -16, -4, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -250.953 - -250.8. What is the third smallest value in -0.5, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 447 - 127. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 142\/55 + -24\/11. Which is the nearest to j? (a) 0.2 (b) 4 (c) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 10:18 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 4) to base 9.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*x - 28*x + 95*x - 28*x - 10*x**3.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 21 + 12 - 38*i**2 to the form p + k*i + o*i**2 and give o.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0 + 8. Let w(y) = 2 - 2181*y**2 - 2188*y**2 - 3 - 4*y**3 + 6*y**3 + 4371*y**2 - y. Give w(v).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29395.07 milligrams in nanograms?\nAnswer: 29395070000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.0795 rounded to two dps?\nAnswer: -7.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 97\/3. Which is smaller: 16 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31231 - -139634. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 3*u + 2. Let z be y(2). Suppose z = -2*g - 96 + 274. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 106930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 30*b + 52*b + 23*b + 37*b + 42*b - 148*b.\nAnswer: 36*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/1397 and (58\/(-10))\/(-262 + 8)?\nAnswer: 13970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 5*o + 2. Let w be u(5). Suppose -153 = 23*l - 14*l - 26*l. Calculate the remainder when l is divided by w*3\/(-12)*-10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 5211408.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-117)*30*5\/(150\/(-6))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-20)*-2)\/(563\/(-1126))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255075.\nAnswer: 3, 5, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 11*b + 2 - 2 + (-4*b - 2*b + 3*b)*(0 - 5 + 4).\nAnswer: -8*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 25 = -5*p, 5*l = -4*p - 6 - 31. Let t be 2\/(l - (-108)\/20). Solve -2*a = 2*z - 2, 2*z - a + 1 = t*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (38 - -9) - (-17 + 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-21 - (10 - 28)) - -16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**2 - 9. Let f(t) = 16*t**2 + 28. Calculate -10*b(h) - 3*f(h).\nAnswer: 2*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 69 * -40.618\nAnswer: -2802.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5129 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35191 + -19764. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -636 + 1112. Suppose -7*k + p = 56. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) -2.3 (b) 0.4 (c) 447 (d) 15 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3434 take away 192028?\nAnswer: -192027.6566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.031? (a) 17 (b) 6 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 4*r**2 + 4*r - 1. Let f be s(3). Suppose f*a + 2*p + 25 = p, -29 = 2*a - 3*p. Let i = a + 27. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 41*b**2 + 42*b - 41. Determine g(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47566.36mg to grams.\nAnswer: 47.56636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*q**2 - 3218270*q + 4291000.\nAnswer: 5*(q - 214550)*(3*q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618816300 is divided by 153?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -1\/20*p**5 + 0 - 11\/12*p**4 + 181*p - 7\/2*p**2 + 2*p**3. Give f(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007595 to four dps.\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*z**3 - 38*z**3 - 7*z**3.\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-10)*32 - (1 - -3). Let h be (-11)\/(-6) + 2\/o. Suppose h*t - 4*d = -0*d + 334, -5*t + 790 = -d. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8380 is divided by 2086?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*b + 88*b + 10. List the prime factors of 4*b + (7 - -146).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 5:43 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/5)\/(2\/5). Suppose n = -0*n - g. Let w(v) = v**2 - 4*v - 8. Does 14 divide w(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (-7 - (-5 + -2) - (-13 - -10) - 0).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4 - 8 = 0. Suppose 0*d - n*d = -30. Calculate the smallest common multiple of (-9)\/(-21) - 50\/(-14) and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 7:06 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/16357 and -59\/13383?\nAnswer: 147213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3)*(-3)\/8. Let d = 37.7 + -38. Which is the third biggest value? (a) p (b) 2\/9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 0*v**2 - 4*v**2 + v**2. Let a(d) be the third derivative of d**6\/180 + d**3 - 3*d**2. Let q(s) be the first derivative of a(s). What is q(o(f))?\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 414 divided by -65251\nAnswer: -18\/2837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*z - 175 = 0, 28 = -5*r - 5*z + 303. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**3\/3 + 21*c**2\/2 + 26*c + 502. What is v(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 3*d - 6*d)*(-8 - 3 - 12).\nAnswer: 184*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -31323401 (base 5) to base 15\nAnswer: -5256b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03337442 rounded to four decimal places?\nAnswer: 0.0334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 16*j + 1. Let y be p(20). Let n = 83 + y. Is -6 - -334 - (1 - n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(p**2 + 0*p**2 + 0*p**2) + (-4 + 0 + 2)*(-p - 6*p - 6*p)*(3 - 3 + 2*p).\nAnswer: 50*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 114 - ((-1 - 2) + 5). Suppose 4*x - f = 52. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -949, -2324, -3699, -5074, -6449, -7824?\n\"Answer: -1375*h + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10842170 is divided by 1513?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 16. Calculate the remainder when 18 is divided by q(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aowaiawwoawiaoiaio. What is prob of sequence aiw?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q = -3*q - 859 + 536 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4408\/5 < 882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5\/57, 24\/5 in decreasing order.\nAnswer: 24\/5, -5\/57, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34953562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 - 84. Put -2, m, 0.1 in descending order.\nAnswer: m, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70.4 + -161.6. Let b = 91.20000647 + i. Round b to 7 decimal places.\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbaa when four letters picked without replacement from {a: 3, b: 9, m: 7}.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a micrometer in nanometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 197864 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977471 is divided by 41.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4833 is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 3:45 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*i + 20, 3*i = 4*i + 1. Suppose 0 = s*b - 51 + 11. What is the first derivative of -9 + 1 - 4*h + b wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758991773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27.6 + 33. Let r = w + -5.6. Let k = -3 - -1. What is the second smallest value in k, r, 9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*k = -492, 3*d + 4*k = -323 - 449. Do -252 and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19585\/6 - -3252. What is the common denominator of k and 47\/66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2 = v, -10 = -5*p + 16*v - 21*v. Suppose 3*o = 5*o - 4*l - 16, 0 = 3*o - l - 9. Solve -o*t + p = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42937.\nAnswer: 42937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23194 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 42. Let d = 2 + -11. Let g = r - d. Sort -3\/4, g, 0.3 in decreasing order.\nAnswer: g, 0.3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2107*d**2 + 18*d**3 - 9*d**4 + 1048*d**2 - 37*d + 1056*d**2 - 51*d wrt d.\nAnswer: -216*d + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 4*q + 4 = 13, -5*s = 5*q - 45 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f + 118. Let z = -231 + 221. Is d(z) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -104729, -104715, -104701, -104687?\n\"Answer: 14*x - 104743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 7 = -k + 13*k + 2*z, 0 = 4*k - 2*z + 1 + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -273 + 1095\/4. Let d(x) be the first derivative of -10*x + 3 + 0*x**3 + c*x**4 + 0*x**2. What is the first derivative of d(l) wrt l?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + x = -16174 + 3439, -2*x + 6380 = 2*y. Suppose 0 = -2*f + y - 1023. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*216\/240*(-5)\/(-2)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 343700833?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + 0.674. Let z = r + 0.126. Which is the smallest value? (a) z (b) -4 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*i + 113*i = -93*i + 18*i - 6594 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(1*sqrt(6)) + sqrt(6))\/(sqrt(6)\/sqrt(12)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -75*o**4\/4 + 30*o**3 + 54*o**2 + 24*o + 130. Factor r(d).\nAnswer: -3*(d - 2)*(5*d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 901 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6*(-5)\/105)\/(-1). Let x = -0.8 + 0.3. Which is the closest to 1\/3? (a) z (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 6*t + k + 10, 3*k + 10 = 4*t. Suppose -2*m - t = 0, -9*m = -4*u - 14*m + 114. Calculate the remainder when u is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 6. What is the nearest to x in 0.5, 1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -74*o + 30. Determine n(3).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times 23?\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -353413 and 0.036.\nAnswer: -12722.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 14*r**2 - r - 6. Let h be p(5). Let c = h - 79. Suppose -2*b = -6, -3*b + c = 4*o + b. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 6*h + 3. Let x be a(-3). Suppose -v + 4*v - x = 0. Factor 3\/4*f**5 + 0*f + 0*f**2 + 1\/2*f**v - 1\/4*f**3 + 0.\nAnswer: f**3*(f + 1)*(3*f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -799 - 806 + 1605 + 429*q**3.\nAnswer: 429*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-10)*556\/3. Calculate the common denominator of 95\/8 and (r\/(-14))\/((-42)\/(-49)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 20. Suppose -p = -b - 39, -f*b - 172 = -4*p - 15. Suppose 0 = 6*r - p - 20. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -688 = -26*b - 17*b. What is the remainder when 1646 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - j = j - 6, 5*j = -3*q + 15. Solve 2*b - 11 + 7 = q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 5:28 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)*m**(-4)*((m**(-1)*m)\/m)**(-8\/5))**(1\/15) assuming m is positive.\nAnswer: m**(-9\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -83*h**3 - 21*h**2 - 9*h - 9. Let u(d) = -21*d**3 - 5*d**2 - 2*d - 2. What is -2*b(w) + 9*u(w)?\nAnswer: -23*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (-6*(6*sqrt(125) + 5 + 2*sqrt(5)))**2)*1.\nAnswer: -740900 - 46080*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4210, -3532, -2402, -820?\n\"Answer: 226*p**2 - 4436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 217 + -214. Solve 14 + 1 = m*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence miim when four letters picked without replacement from {i: 2, m: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2807 < 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 18*k = -17*k + 9, -28 = -5*y - 3*k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -447094 or -447096?\nAnswer: -447096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, x: 3, w: 4, r: 4, t: 1}. Give prob of sequence trpx.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -0.4, 0.056, 41, 14, -1\/86, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 3*u - 5*r = 7, -3*r = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 12:26 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 295690609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -12.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 8 = -4*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1262*s - 514. Let f(p) = 630*p - 256. Let b(q) = -5*f(q) + 2*l(q). Find the first derivative of b(d) wrt d.\nAnswer: -626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6 = -0*m. Suppose l - m = -2*l. Solve l*f = -3*w - 10, 2*w - w = 2*f - 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3060 and 159290.\nAnswer: 2867220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -129\/25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 396, 7, 1, -5, 16 in decreasing order.\nAnswer: 396, 16, 7, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2313*s - 228 = 2275*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*p**3*x + 2*p**3 - 3936*p*x + 253207*x wrt p?\nAnswer: -12*p**2*x + 6*p**2 - 3936*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/2 + 3 + (1126 - 1175).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-245))\/((-9)\/504*6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2151 + -2170 - (-19 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 2\/3, 2\/201, 0.4, 10, -1\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 != 6021\/1015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12150*f - 12150*f - 2*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 143 + -112?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -6 - -7) + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)\/sqrt(4) + sqrt(700) + -1 + ((2 + sqrt(7) + 4)**2 - sqrt(7))*4.\nAnswer: 57*sqrt(7) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 39 = 4*c. Let m = c - -6. Calculate the common denominator of -121\/10 and ((-43)\/(-12))\/(m\/6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-6))\/r**(3\/5)*(r\/((r**(-1\/2)\/r)\/r*r))**39)**16 assuming r is positive.\nAnswer: r**(8312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(6 - 6 + 7*v) + 1 - 1 + v + (1 - 4 + 4)*(0 + 0 + 2*v) + 4*v - v - 2*v + 3*v - 4*v + 2*v + 0*v - 2*v + 4*v.\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q**3 + 55242*q**2 + 42026138*q - 26. Let y(c) = -c**3 + 6139*c**2 + 4669571*c - 3. Let d(s) = -6*p(s) + 52*y(s). Solve d(t) = 0.\nAnswer: -1528, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 1011*o + 4853. Give j(-3).\nAnswer: 1820","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, a: 3, j: 6, i: 8}. Give prob of picking 2 p.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 111 and 465?\nAnswer: 17205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*m - 11, -5*m - 6*g = -2*g. Let c = -1 - m. Suppose -3*j + 109 = 4*b - 3*b, -c*j - 4*b + 121 = 0. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 53019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189 and 189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6531.\nAnswer: 3, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -20, 175, 448?\nAnswer: 799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -1\/24*q**4 + 5*q**2 + 0 - 1\/6*q**3 + 0*q. Suppose d + 18 = 4*j - 2, 5*j - 25 = -2*d. Give g(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*g = a + 584, 0*a - 2*a - 2*a + 12*g - 8*g = -2 + 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 768?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -243.62 - -246. What is p rounded to 1 dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**5 - 5700*w**4 + 2088130*w**3 - 237760100*w**2 - 3366894375*w - 10625875000 = 0. What is w?\nAnswer: -8, -5, 325, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12*(-6)\/(-27) - -3. Let b = -5.074 - -5.174. Which is bigger: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1567 = 115*u - 4312 + 812 - 3702 for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*i + 4 + (-2*i + i - 7*i)*(1 + 1 + 0))*(i**2 - 1 + 1).\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02891 + 0.12891. What is the fourth smallest value in -29, l, -0.4, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + -2*(sqrt(44) + 2)**2.\nAnswer: -96 - 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/42 and -11\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 12 + -5 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 + 2*g + 1. Let n be h(-1). Let l(m) = 42870*m + 1. Let x be l(n). Let d = 91609 + x. What is d rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -5, -164 in ascending order.\nAnswer: -164, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*(g\/(g\/(g*g**(-1\/7))))\/g))**(-4\/27) assuming g is positive.\nAnswer: g**(8\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*q + 114 - 69 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 1. Let z = 1.1 - d. Let l be 144\/(-224) + (-2)\/(-4). Which is the nearest to 1\/4? (a) l (b) -7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-5 + 3 + -3 + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1294 = q - 441. Suppose 6*b - q = b. Suppose 1238 = 5*s - b. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8724698, 17449395, 26174092?\n\"Answer: 8724697*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 30 - 14 + 4*a**3 - 16 + 6*a**2 - 16 - 16*a. Let c(i) = -i**3 - i**2 + 3*i + 3. Calculate -16*c(j) - 3*p(j).\nAnswer: 4*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/201880420 and 48\/15862033?\nAnswer: 2220684620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((325\/26 - 11) + (-39)\/14)*7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 289288560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**5 - 313*f**4 + 624*f**3 + 9124*f**2 + 5712*f = 0.\nAnswer: -4, -2\/3, 0, 7, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*y + 535*y = -3*d + 21, 3*d - 57 = 5*y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 380*i**2 - 7*i + 20. Is s(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 299204 or -3?\nAnswer: 299204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*s - 152*s = 32 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6301?\nAnswer: 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 6*l**2 + l - 3. Let h be d(6). Solve h*y + 2*y = 2*p + 8, -4*y = 3*p - 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 2)*(-22 + 38 - 7*o - 27) to q + l*o and give q.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2. Let s(w) = -317*w. What is s(m(t))?\nAnswer: 634*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npx when three letters picked without replacement from {d: 2, s: 1, n: 7, p: 4, x: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 25 = 0, 4*q = -c + 8 + 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -160404, -160403, -160402, -160401, -160400, -160399?\n\"Answer: n - 160405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 10*n + 12. Let a be d(-9). Let h = a + -20. Are -2\/9 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.44 (b) 14 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 + -43. What is the nearest to t in -2\/7, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/2 (b) 1\/5 (c) -0.5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -21 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3974, 31324, 105502, 249920, 487990, 843124, 1338734, 1998232?\n\"Answer: 3902*m**3 + 2*m**2 + 30*m + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -0.2, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (4 - -14)) + 8 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/24 of a week?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -101, -143, -235, -395, -641, -991?\nAnswer: -1463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9923 + 9980. Sort l, 2\/7, 0.1, -0.1 in ascending order.\nAnswer: -0.1, 0.1, 2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307147 is divided by 3995?\nAnswer: 3527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -368 + 392. Solve -k + 4 = 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**4\/(x**28*x)*(x*(x*x**(3\/37)*x*x)\/x)**(-17\/3) assuming x is positive.\nAnswer: x**(-1571\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2164 + -19528\/9. Let t = 554\/99 + n. Sort -2.3, t, 2\/5 in decreasing order.\nAnswer: 2\/5, t, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c*c**(-6))\/(c*c**(-2\/9)\/c*c\/(c**2*c))*c**(-1\/2)\/(c*c\/(((c*c**(-1\/2))\/c)\/c)*c)*(c\/c**5)\/c**(-1\/4) assuming c is positive.\nAnswer: c**(-559\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12 - (-2252)\/(-188))\/(1\/(-2)). Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**1*f)\/(f**8\/f))\/((f\/(f*f**(-2\/7)*f))\/f)**0*(f*f*f*f*f*f*(f*f**1)\/f*f)**(-41)*f\/(f*f*f*(f\/(f*f**(2\/13)*f)*f)\/f*f)*f**(-3) assuming f is positive.\nAnswer: f**(-4405\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7705 - -599. Suppose 2*v - g = -4*v. Suppose -v = -3*h + 221. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Suppose -44*q + 336 = -101*q + 45*q. Sort 2, f, q.\nAnswer: q, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-54)*((-25)\/(-22) + -1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + r - 6 - 10 = 0, -2*r + 95 = 5*p. Let u(t) = 49*t**2 - 1. Let v be u(1). Let h = v - 27. What is the greatest common factor of h and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-25 + 45 - 18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y = 45*y - 83*y + 2*v - 105, -2*v = -y - 57 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and 538964.\nAnswer: 10240316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/t**(-38))\/t))\/(t**(7\/5)*t*t*t))**(-2\/25) assuming t is positive.\nAnswer: t**(414\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 14. Solve -a*c - 4 - 2 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 12*v + 247. Give o(-30).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -19*i - 4. Let m be g(2). Let l = -26 - m. Solve -l + 1 = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 0*u + 6*u)*(-2 - 1 + 1) + (2 - 11 + 8)*(u - u + u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-26) + (-19 - -7) + 11\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + 61. Let l be (g + (-21)\/(-2))\/6 - -1. Factor 1\/2*o**2 + l*o**3 + 0*o + 5*o**4 + 0 + 9\/4*o**5.\nAnswer: o**2*(o + 1)**2*(9*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-1)\/((-3)\/36). Let z(h) = h**2 + 8*h + 2. Let k be z(-12). Calculate the highest common factor of k and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, h: 2, v: 1}. Give prob of picking 1 h, 1 v, and 2 r.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -1756, -3471?\nAnswer: -5186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*q + 20*q + 12768. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 106 = -3*l + 798, 0 = 4*l + 4*k - 1208. Calculate the remainder when l is divided by 81.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 s, and 1 r when four letters picked without replacement from {s: 4, d: 3, r: 10, o: 2}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 112*v - 105*v + 7. Let d be v*(2 - 32\/1). Calculate the highest common factor of 165 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/(-14) - 3\/21. Let d(c) = 7*c**2 + 1. Calculate the remainder when d(v) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-430)*((-2632)\/(-1316))\/((-6)\/5)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -18.864. Let m be -32 + 1577\/57 + 4. Is i greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -7. Let f be (-10)\/45 + 4\/18. Let d = f - -2. Solve -2*y + d = i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 5809*c**3 - 6235*c**3 + 465*c**3.\nAnswer: 39*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + (sqrt(931) + 1)**2 + 1 + sqrt(931) - (sqrt(2736) + 0)*5.\nAnswer: -32*sqrt(19) + 933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 387227088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6 + 741\/(-1521))\/(-1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - -2 - (-1206)\/(37 - 55)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4291 - 4288. Let g be (-1)\/(-4 - (-30)\/12). Determine h, given that g*h - 4*h**2 + 16\/9*h**b + 4\/9 = 0.\nAnswer: -1\/4, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64*n - 9*n - 17 + 110 wrt n.\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 7*q**2 - 5*q + 21. Let c be g(-7). Calculate the highest common divisor of c and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -307, -626, -959, -1312, -1691?\nAnswer: -2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 4:03 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + x + 2*x + 10, -5*x + 26 = -4*y. Put 9, 0, y in descending order.\nAnswer: 9, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 11. Determine k(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 c when three letters picked without replacement from acmmmxmmaxmmaaxammmc.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (-7 - (6 - -15))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.124425 - -44.875629. Let o = j + -65. Round o to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0812506 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198230?\nAnswer: 2, 5, 43, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 242, -4 in ascending order.\nAnswer: -4, -2, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -14583695, 1 in ascending order.\nAnswer: -14583695, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 179, 273?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -2*u - 5, 0 = -2*u - 2*m + 3*m + 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, z: 2}. What is prob of picking 2 k and 1 z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -49425000 to the nearest one hundred thousand.\nAnswer: -49400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 73886?\nAnswer: 3\/73886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - sqrt(175)*3)**2 - sqrt(3584)\/sqrt(8).\nAnswer: -8*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/20 - (-21186)\/6152. Let r = y - -3775961\/249156. Let q = -8\/81 + r. Calculate the common denominator of -51\/2 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4414741 - 3082820. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33 and -0.3.\nAnswer: 9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.043 + 24.043. Let h = 25 - c. Which is smaller: -17 or h?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.3 + -7. Let l = p - -1.1. What is the second biggest value in l, 3, -2\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8037827 minutes in nanoseconds?\nAnswer: 48226962000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*q + 3017062 = -1723126. What are the prime factors of q?\nAnswer: 2, 19427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 divided by 3?\nAnswer: 389\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99405 and 234880761?\nAnswer: 6627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -35470 rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - 1864\/(-64))*(-24)\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*q + 33192 = -2*k, 83012 = 5*k - 3*q. What is k rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4469061 + -1.4575. What is v rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 142?\nAnswer: 1\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 44. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + -3*(sqrt(637)*3 + sqrt(637)) - (2 + sqrt(637) + -1 - sqrt(637))) + -5 + -1 + sqrt(637) + 5*(-2 + sqrt(637)))**2.\nAnswer: 1190*sqrt(13) + 16214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -39.04 and 0.6?\nAnswer: 39.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075935713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/328 and -32\/287.\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 10:54 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/91*(-210)\/(-60))\/(9\/(-3))?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.546803\nAnswer: 0.546803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -4, 5, 1, 0 in increasing order.\nAnswer: -4, 0, 1, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 158485 to the power of 1\/2, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v - 9. What is g(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 2:40 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1141014 divided by -2.\nAnswer: 570507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -240*a**3 + 71 wrt a.\nAnswer: -720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/4 (b) 6 (c) 0.4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-260)\/(-5) - (-4 + 2). Let n = 70 - q. Calculate the highest common factor of 320 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 19940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + i**2 - 3*i**2)*(5676*i - 2305*i - 2616*i).\nAnswer: -1510*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1309, -29, -31 in decreasing order.\nAnswer: 1309, -29, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1610)\/(-15))\/7 + (-2)\/6. Let a be 5\/(-2)*(-2)\/y*6. Is 8 a factor of (-2 + (-184)\/(-12))\/(a\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63786913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*i + 8, 38*w - 49 = 36*w - 3*i. Solve -w*x + 15*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 12:02 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -32. Let d(s) = 3*s**3 + 7*s**2 + 2*s. Let c(h) = -h**2 - h. Let p(r) = t*d(r) + 2*c(r). Find the third derivative of p(m) wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2069 - 2064. Which is the nearest to g? (a) 4\/7 (b) -3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 9*m - 3. Let o be b(-8). Suppose -o*t + 10 + 15 = 0. Suppose t*n + 7 = -3. Let u(c) = -c**3 - 4*c**2 - c - 1. Give u(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42323?\nAnswer: 42323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/147 - 17\/294. Let n = -23 + 23.09. Let p = n + -0.19. Do b and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4105955\/188 or 21841?\nAnswer: 21841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 4*u**2. Let l be m(-5). Suppose 6*i + l = i. Let q(y) = -y**2 - 7*y - 6. Calculate q(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 2 - 7 - 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3. Let w be k(-1). Let m(t) = t**3 + 3*t**2 + 1. Let f be m(-3). Let a be 11\/(-15) - f\/(-3). Which is bigger: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1930*w. Let m(d) = 101*d. Determine m(s(v)).\nAnswer: -194930*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.9 (b) 2\/7 (c) -50 (d) -4 (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 40 + 19. Sort 4, -9, y.\nAnswer: -9, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20469476, 20469461, 20469420, 20469341, 20469212, 20469021, 20468756?\nAnswer: 20468405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -6, -5, -9 in descending order.\nAnswer: 40, -5, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4938.4+100651\nAnswer: 105589.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/8 in 22\/5, -3\/64, 3?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 - 15*t**2 - 29*t + 5. Calculate b(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpq when three letters picked without replacement from {o: 3, p: 3, u: 3, d: 1, f: 1, q: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14859 and 1287.\nAnswer: 163449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -824*t = -798*t - 390 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4457.891 kilometers to meters.\nAnswer: 4457891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 6047.3946\nAnswer: -6047.1946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(21)*-6)\/(sqrt(28)*-2)*-6 + 1 + sqrt(192) + sqrt(192) + 2*sqrt(363) + 0)**2.\nAnswer: 58*sqrt(3) + 2524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2094 or 2105?\nAnswer: 2105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333, 770, 1225, 1704, 2213?\nAnswer: 2758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 28*q - 119. Give k(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*v - 11*v + 2*v)*(4920*v - 4920*v + 873*v**4).\nAnswer: 13968*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/360)\/((-4)\/(-36)))\/(2\/164)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 444488171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 249 - 139. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 80. Let f = h - 11. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 3, 104, -1 in descending order.\nAnswer: 104, 5, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in decades?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114*k*x**3 - 10*k*x**2 - 14*k*x + 5*k - 2*x**3 + x**2 - 4*x - 8 wrt x.\nAnswer: 684*k*x - 20*k - 12*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = 9*d - 1355. Calculate the remainder when d is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*z = -0*x + 36, 5*x = -2*z + 99. Suppose -2*g + 5*g - x = 0. Calculate the remainder when 27 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, n: 2}. What is prob of picking 1 n and 2 r?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 369 - 212. What are the prime factors of g?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 653604 and 852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1788*y + 3620*y - 1969*y + (0*y - y + 0*y)*(-1 + 1 - 1).\nAnswer: -136*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 204988?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, w: 3, h: 3}. Give prob of sequence hwsw.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046040778 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 5*u**3 + 0*u**2)*(u**2 + u**2 + 0*u**2 + (u + 0*u + 0*u)*(0*u + 3*u - 2*u) - u**2 + 3 - 3).\nAnswer: 10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - a - 3*a)*(-1135*a**2 + 96139*a - 96139*a) + (-a**2 + 0*a**2 + 2*a**2 + (1 - 1 - 2*a)*(-3 + 3 - a))*(0*a - 3*a - 2*a).\nAnswer: 1120*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 12, d: 6}. What is prob of sequence tdd?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -39594 <= -197968\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 771 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/18*(-9)\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3\/4 + 3665*y**2\/2 - 72925*y\/4 + 45500.\nAnswer: -5*(y - 1456)*(y - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (-2 + sqrt(2) + (sqrt(2) - sqrt(2)*3) + sqrt(2) + sqrt(2))) + (sqrt(192) - (2*sqrt(192)*-4 + sqrt(192)))\/sqrt(6))**2.\nAnswer: 164*sqrt(2) + 3366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -61, -118, -175, -232, -289?\n\"Answer: -57*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -9 - 1. List the prime factors of (2\/(-2))\/(i\/(-24)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 0*b - 48 = 0. Let g(w) = w**2 + 4*w - 7. Suppose 0*y - 53 = -4*u + 3*y, 41 = 4*u + y. What is the least common multiple of u and g(b)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -3. Suppose 5*u + i + 13 = 7*u, 5*u - 15 = -i. Factor -21\/2*t**u + 0 + p*t - 15\/2*t**3 + 3*t**2.\nAnswer: -3*t**2*(t + 1)*(7*t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 22*t**3 - 13*t**2 + 10*t + 2. What are the prime factors of r(7)?\nAnswer: 3, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -267672, -535340, -803008, -1070676, -1338344, -1606012?\nAnswer: -1873680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(2*4\/(-12)). Suppose 0 = q*i - 4*x + 1967, -6*i - x = -4*i + 1315. Let b = -16 - i. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/33 + (-1140)\/(-792) - 7*(-10)\/210. Suppose -3*z**2 + 9\/2*z + 0 - u*z**3 = 0. Calculate z.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 257662808?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2787264634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7238\/5 - -1447. What is the second biggest value in -2\/55, -1, -4, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + ((-3*-3*sqrt(84))\/(sqrt(192)*-2))**2.\nAnswer: 695\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1. Let p(w) = -325*w**2 - 4*w - 5. Let n(d) = -p(d) - 2*q(d). Let i be n(-7). What is i rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*o - 5*m - 15, -3*m - 9 = -5*o. Suppose x + 6*x - 154 = o. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 107*u**2 - 67 - 9*u**3 + 2*u**3 - 11*u**2.\nAnswer: -3*u**3 - 118*u**2 - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -520 or -0.01267?\nAnswer: -0.01267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 + -43. Suppose t = -3*m + b*t + 310, 2*m = -4*t + 228. List the prime factors of m.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -183*c**3 - 404*c**2 - 38*c. Let x(y) = -37*y**3 - 81*y**2 - 8*y. What is -4*h(f) + 19*x(f)?\nAnswer: 29*f**3 + 77*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 14*w + 3. Let u be f(15). Which is smaller: u or 1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 16 + -6 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 158047698.814 and 188?\nAnswer: 158047510.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -123*s - 1104. Let f be x(-9). Let t(r) be the first derivative of 1\/3*r**f + 0*r + 4 - 1\/4*r**4 + 0*r**2 - 1\/5*r**5 + 1\/6*r**6. Factor t(g).\nAnswer: g**2*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -713de?\nAnswer: -713d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.013 (b) 1 (c) -0.43 (d) 2\/13 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15831 smaller than 15831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + 13. Suppose 3*p + 2*m = 3*m - 42, -3*p - s = 3*m. Let b = p - -21. Solve -1 + b = n + 2*r, -3*r = -n - 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*i - 39. Solve -12*u + 5 = -i*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -13 (c) 0 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 4*j. Let a be m(5). Let n = -46 + 47. Let l be ((-4)\/(-2 - -6))\/(n\/(-2)). Solve -a = -g + l*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30376 (base 9) in base 15?\nAnswer: 5dd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203202 and 121410.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(9\/(-18)*6\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 - -57. Suppose v*p + 3*u = 442, -2*p + 74 + 134 = -5*u. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - (-6)\/(-9))*1053\/(-9). Let i = q + -52. Suppose i = 2*h - h + 4*z, -2*z = -h - 4. What is the greatest common factor of h and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3452\/13 - 266. Let m be (-4)\/90*(-6 - -1). Sort b, 1, m, 0 in descending order.\nAnswer: 1, m, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 14*g - 9. What is the tens digit of z(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60042.76 milligrams to kilograms.\nAnswer: 0.06004276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*i*s**2*z**3 - 20*i*s*z**3 - s**2*z**3 + 3*s**2 wrt i?\nAnswer: 39*s**2*z**3 - 20*s*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02377601 to 4 decimal places.\nAnswer: 0.0238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -321184, -642010, -962838, -1283668, -1604500, -1925334, -2246170?\nAnswer: -2567008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 e when three letters picked without replacement from {b: 1, k: 2, c: 8, e: 2, w: 4, r: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -u + 37, -4*u + 85 = u + 5*m. Let n = 19 - u. What is the highest common divisor of 28 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -4. Solve 3*u - g*u + 5*t = 12, -18 = -3*u - 3*t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 12504*j - 734263. What is b(-59)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*j + 92*j + 1853 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-45)*3)\/((-14)\/(-10)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 12\/(-10))*-9*(-265)\/(-318).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**3 + 391*h**2 - 459*h - 176. Calculate l(77).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-168)\/(-14)*4*1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26916?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 20582 + 85188 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8645 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, o: 6, l: 2, x: 3, b: 1, z: 1}. What is prob of picking 1 x and 2 h?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2198 + 197.4802. Let q = u - 190. Let s = q - 6.7. Which is the smallest value? (a) 10 (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12991486, -25982994, -38974502?\n\"Answer: -12991508*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 21 = -q - 0*q, -5*q - 3*v + 97 = 0. Let r(y) = 3*y**2 - 44*y + 49. List the prime factors of r(q).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*((sqrt(39) - (sqrt(39) - sqrt(78)\/sqrt(2)))*5*-5)\/(-5*(sqrt(27) + sqrt(27)*1)))**2.\nAnswer: 343\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 8, -2, 10, 4, 2, -118 in ascending order.\nAnswer: -118, -45, -2, 2, 4, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263398, -526796, -790194?\nAnswer: -1053592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 2 - 2*h**3 + h - 4*h - 4*h**2. Let w be o(-3). Let q be (-2 + w + 1)*1. Solve 0 = 2*t + q + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -40, -84, -146, -226?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -227, -419, -657?\nAnswer: -941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 18149721?\nAnswer: 18149721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.8 - -3. Let q = -6 + y. Which is the third smallest value? (a) q (b) -0.5 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, 102, 388, 944, 1860?\n\"Answer: 15*o**3 + o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + sqrt(170)*-2 - sqrt(170))*4 - sqrt(170))\/sqrt(10).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + -5*sqrt(320))\/sqrt(2)*3)\/((sqrt(375)*-2 - sqrt(15))\/(sqrt(300) + sqrt(300)*1)).\nAnswer: 1140*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.095 less than -1176?\nAnswer: -1176.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u**3 + 106*u**2 + 37*u + 435. What is a(27)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -23*x**3 - 3*x**2 + x - 2. What is the units digit of q(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 6 - -143)*122*1. Let x = -10245 + z. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4*l + 0)*(-1 - 7*l + 1) in the form i*l**2 + v*l + f and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*v = 29, 64 = -4*u + 3*v + 87. Calculate the smallest common multiple of 2981 and u.\nAnswer: 5962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*v**5 - 21511755*v**4 - 12907152*v**3 + 20651280*v**2 + 13767552*v = 0. Calculate v.\nAnswer: -4\/5, 0, 1, 286824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16200 (base 14) to base 2.\nAnswer: -1101011111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -14, 3\/4.\nAnswer: -14, -0.3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*i - 35*i**2 + 14*i - 4*i + i**3)*(2*i + 23*i**2 - 2*i).\nAnswer: 23*i**5 - 805*i**4 - 92*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.74 and 334.4.\nAnswer: 333.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.08 + 11. Let m = a - -0.38. What is the closest to 1 in -1, m, -2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.07 - 0.07. Let d = 3.44 - -0.86. Let l = d - u. Is 1\/2 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 4695388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**5\/60 - 19*r**4\/12 - 361*r**3\/6 + 83*r**2 - 65*r. Let w(m) be the first derivative of t(m). Factor w(y).\nAnswer: -(y + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -14*o**2 - 6. Let w(f) = -561*f**2 - 238. Let d(y) = -238*t(y) + 6*w(y). Let l(q) = -2*q**2. Give l(d(r)).\nAnswer: -2312*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42.2 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*((-1*(sqrt(891) + -1) + 4)**2 + -3) + 0.\nAnswer: -3656 + 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -1 + 36 + 9 + 3.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((100\/(-4))\/(-5))\/((-8)\/(-4)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**5 + 72*z**4 - 1820*z**3 + 1200*z**2 + 63376*z - 118272 = 0.\nAnswer: -32, -6, 2, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (3 + (-28)\/7)*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*d - 47, 4*d - 5 = 2*k + 13. Let o = k + 69. What is the greatest common divisor of 75 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 62*p - 20 - 10 + 2*p**3 + 0*p**2 - 34*p**2 - 3*p**3.\nAnswer: 2*(p - 15)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91058336 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1815548 is divided by 344?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1546581, 1546577, 1546573, 1546569?\nAnswer: 1546565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/(-2) - (0 + 7485)\/(-15) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5688?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 5*j**2 - 4*j**2)*(-2*j - 1 + 1) + j**2 + 2*j**3 - j**2 - 3 - 2*j**3 - 24*j + 19*j + 5.\nAnswer: 2*j**3 - 5*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 281*b - 707*b - 22*b as x + k*b and give k.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-6)\/(-4))*(-10)\/(-3). Let g be (2\/(-4))\/((-2)\/44). Let b = g + v. Solve 4*m - 3*m - 2 = -d, 3*m + 4*d - b = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/90896 and -71\/4416.\nAnswer: 1090752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 30. Let r be (k\/12)\/((-1)\/3). List the prime factors of (2 - 11)*r\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1 = 5. Let y = l - -215. Suppose 18 = -4*k + y. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5809167869500 and 0.2.\nAnswer: -5809167869499.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -43 - -4) + 2 - (-6 + -1 + 12)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - 26 + 10*g + g to j + f*g and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -115*u + 115*u - 2 - 340*u**2 + 0 + 339*u**2. Let z(q) = -3. Calculate 2*w(p) - 3*z(p).\nAnswer: -2*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r - 40. Let q(g) = -1. What is -2*q(b) - z(b)?\nAnswer: -8*b + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -231*o + 7788 + 69034 + 1718. What is the greatest common divisor of 108 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33200011200 (base 4) to base 14\nAnswer: -77ac80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 250725648?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(39)\/sqrt(768) + (-1*sqrt(78)*6 - sqrt(78))\/sqrt(6))**2.\nAnswer: -800865\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -270*w + 257*w - 65 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.9144 to 1 dp.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 13*o**2 - 16*o + 13. Let q be y(12). Let s = 55 + q. Let f be (-14 - -12)\/(2\/(-4)). What is the highest common divisor of s and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 10. Suppose -5*l + 10 = -f*l - 3*c, -2*l - 4 = 4*c. Solve -3*u + l*u - 9 = -2*w, 0 = 2*w - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 2532411?\nAnswer: -253240d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(8\/(-3) - -3). Let a = 178 + -173. Solve a*m - 2*m = u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n + 2 + 55*n + 20*n.\nAnswer: 89*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 12:23 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 84.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -330 + 6284\/19. Factor -10\/19*f**3 - 2\/19*f**4 - s*f - 4\/19 - 18\/19*f**2.\nAnswer: -2*(f + 1)**3*(f + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134314 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478*i + 407*i - 4928*i + 26*i + 39784 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -1*(-1)\/4 - (-111)\/4 and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111*b**2 + 38*b**2 + 60*b**2 - 6*b**2 to the form i*b + w + a*b**2 and give a.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*q**5 + 1)*(250 + 240 - 192 + 404 + 210).\nAnswer: -1824*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnffggngfggg. What is prob of sequence gfgn?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 822465 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p + 1952 = 1918 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(5\/2)\/(f*f**(3\/5)*f))**(-30)\/((((f\/(f\/f**(-5)))\/f)\/(f*f**(-2\/11)))\/(f**(-6)\/(f*f**(-6)))) assuming f is positive.\nAnswer: f**(97\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 5, 86, 0.3, 0.0732?\nAnswer: 0.0732","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 12 - 7 = 4*f, 3*f = -2*g - 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.4 + 13. Let f = 35.4 + -33.4. Let y = f + l. Is y less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7*(-3 - -4 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**3 - 9*c**3 - 116*c - 26 - 58 + 56*c**2 - 92 = 0. What is c?\nAnswer: -1, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1167650 + 0?\nAnswer: 1167650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(-315)*-15*1*33. Let l(y) = -y**3 + 10*y**2 + 11*y - 5. Determine l(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*p - 17*p - 66 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*a - 10. Suppose 0 = 2*z - 3*c - c - 18, a*c - 77 = -3*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/(-10))\/(32\/80). Let f be x\/9*(-15)\/10. Which is the second smallest value? (a) f (b) 0.05 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.359 + -0.459. Suppose -16*x + 2*z = -18*x + 4, x - 4*z + 8 = 0. Which is the second biggest value? (a) 1\/34 (b) r (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 - 28*a - 31. Give n(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -45*k + 294. Let i be z(-42). Let f = i + -1375. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -1, 17036, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -52.58. Let p = y + 0.78. Sort -4, p, 0 in descending order.\nAnswer: p, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + r**2 + r + 1. Let h be x(-1). Let n = 4 - h. Suppose -f + n = -c, c - f = 2*f - 6. Put c, -6, 3 in ascending order.\nAnswer: -6, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1136 and 5254.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zrrrzzzzzrzzzrzz?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 57965, 57832, 57611, 57302, 56905, 56420, 55847?\n\"Answer: -44*c**2 - c + 58010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.5. Let y = i + 0.5. Which is the second smallest value? (a) -3 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 4*j + 5. Let b be f(-6). Let r = b + 5. Put r, -1\/3, 0.4 in decreasing order.\nAnswer: 0.4, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 12:18 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 10412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -95, -4, 1 in decreasing order.\nAnswer: 4, 1, -4, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 17*v - 32. Let a be q(7). Let w = a - 29. Suppose 35 = 16*n - w*n. Solve -2*d = -3*s + 21, s + 0*s = n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 4*g**2 - 9. What is f(-6)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 - -0.1. Suppose -3*d + 1173 = f + 4412, -5*d = -2*f + 5380. Let b = d + 1083. What is the closest to 1\/2 in 3, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*r = -4, -5 = -5*m + 4*r - 1. Solve 3*f - 4*f + z - 6 = m, 0 = 3*f - 4*z + 23 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3 - c + 2*c - 6*c + 97*c**2 - 54*c**2. Let s be h(2). Find the first derivative of 165*p - s*p + 21 + 19*p**2 wrt p.\nAnswer: 38*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t + 31. What is x(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 905)\/(1 - (-5)\/(-2)). Suppose -4*c = 2*q - o, -5*c = -2*q + 6*q - 753. What are the prime factors of c?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -645\/11 or 601?\nAnswer: 601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Suppose 216 = -w*o - 3*d, -2*d + 0*d = -5*o - 381. Let a be ((-10)\/o)\/(1\/(-9)). Which is bigger: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n. Let r be y(-1). Let j be r\/((-8)\/36*-1). Calculate the greatest common divisor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*i - 140, -2*i - y - 3*y + 82 = 0. Suppose 0 = -5*j + i + 23. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -27049?\nAnswer: 4\/27049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/(5\/20*-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t - 5258 = -4*g, -5*g + 4*t = -6605. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (3 - -4)) + 24.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 2, 50516.1?\nAnswer: 50516.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-23)\/(((r*r**(-12))\/r)\/r))**(-20) assuming r is positive.\nAnswer: r**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/8*(-1 - (-1 - -10)). Sort -28, v, 3, -4 in ascending order.\nAnswer: -28, -4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*(5 + sqrt(11) + (sqrt(1100) + 3 - sqrt(1100))))**2.\nAnswer: 16*sqrt(11) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1382452 (base 10) to base 2.\nAnswer: -101010001100000110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 31456*z + 11859. Let f(n) = 15729*n + 5912. Let l(h) = 5*f(h) - 2*s(h). Differentiate l(d) wrt d.\nAnswer: 15733","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + n + 2. Let u(y) = 4*y**2 - 3*y - 7. Let o(r) = 14*m(r) + 4*u(r). Let g be o(4). Solve -j = 3*t + 5, -g = -5*j + 5*t - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -17. Let n = q + 25. What is the lowest common multiple of n and 9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmmzmzm. What is prob of picking 1 z and 3 m?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3300 (base 5) in base 12?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2 + 37*v + 45. Let l(d) = -d**2 + 9*d + 11. Let h(o) = -2*i(o) + 9*l(o). Determine h(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/28)\/((-10215)\/(-66738))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2809, 5635, 8467, 11305, 14149, 16999?\n\"Answer: 3*a**2 + 2817*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3509900.9 rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**4\/5 + 1398*w**3\/5 + 72056*w**2\/5 + 932352*w\/5 + 861696\/5 = 0.\nAnswer: -24, -1, 748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g. Let p = 8 + -3. Let j be b(p). Let m = j + -1. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 8:01 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-5\/8)*v*v)\/v)\/v*(v*v\/v**10)\/v)\/(v**(-2\/13)\/(v\/(v*(((v*v**(-2\/63))\/v)\/v)\/v*v)*v)) assuming v is positive.\nAnswer: v**(-48743\/6552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12003765 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -155, -145, -135, -125?\n\"Answer: 10*d - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 197473 from 18.\nAnswer: -197455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 7*g - 6*g**3 + 18*g - 7*g.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 235, -7, 1 in increasing order.\nAnswer: -7, 1, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 246 + -246. Suppose 3*v - 7*a + 4*a = 0, -6 = v + 5*a. Let q be 4 + v + 69\/(-21). What is the smallest value in m, -1\/4, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138 divided by -1510.\nAnswer: 69\/755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 - 66 = 20*p. Let l(v) be the first derivative of 98\/45*v**3 - 21 + 0*v**2 + 0*v + 2\/75*v**5 - 7\/15*v**p. Factor l(z).\nAnswer: 2*z**2*(z - 7)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 4*h + 39778 - 39729, 3217 = 169*r - 3*h for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 8*l - 14. What is the tens digit of n(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 116675 in ascending order.\nAnswer: 4, 5, 116675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {w: 2, p: 3, h: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 15580*d + 2. Let v(t) = -t + 42. Let r(c) = 6. Let o(i) = 7*r(i) - v(i). What is o(f(u))?\nAnswer: 15580*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1115, -2\/9, -3, -8 in increasing order.\nAnswer: -1115, -8, -3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/((-1)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 621 + -625. Let a be 3\/4 - 3*431\/u. What is the highest common factor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 559 + -372. What are the prime factors of q?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1385964*p**2*t**4 - 253*p**2*t**2 + 5*p**2 - 4*p*t**4 + 18*t - 20 wrt t?\nAnswer: 33263136*p**2*t - 96*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**2 - 1. Let h be l(1). Suppose 5 - 10 = -h*d. Let j be (-1 + 2)*2\/(-8). Which is the nearest to 2? (a) d (b) 1\/10 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 38, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*c - 1595 + 395 = 0, 5*k + 4*c + 1500 = 0. Let s = -174 - k. Calculate the greatest common factor of 84 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3684 >= -4266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 3, 317, -2\/7 in decreasing order.\nAnswer: 317, 3, 3\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-182))\/(216\/(-1404))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1553*b**2 - 403*b**2 - 399*b**2 - 316*b**2 - 437*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2967*p**3 + 2226*p**3 - 51*p + 51*p.\nAnswer: -741*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1537 - -1227. Sort x, -3, 4 in descending order.\nAnswer: 4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 59. Is 24 a factor of 8\/l - (-2872)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4\/5, 2, -2843, 0.4, 1\/7 in descending order.\nAnswer: 2, 4\/5, 0.4, 1\/7, -3, -2843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.50503 months in millennia?\nAnswer: 0.0082087525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 11:52 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = -5*a - 51. Let n = -33 - a. Solve f = -n*m - 19, -16 = 5*m - 0*f + 4*f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6 = -l + 3*l, -5*i = 3*l - 8. Let c(t) = 6*t**2 - t + 1. List the prime factors of c(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 4. Let v be p(-8). Suppose v*l + 40 = -100. Let b be 2\/(-14) + (-285)\/l. Solve h + b = -k - 2*k, 4*k = 5*h + 21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99 - -101. Calculate the remainder when (-2 + l + -1)*-45 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1496 + 1495. Let q = -3.2 - 0.8. What is the nearest to f in 3\/2, q, 6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 2*h + 25 = 0, 21*h - 2*h = -b + 98 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 41.39393 and 2.637.\nAnswer: 44.03093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.99987 + -12. Round j to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/10)\/(1\/12). Let l = 34 - 12. What is the least common multiple of l and (0 - m) + 2\/1?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 642 and 954.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.071858 millilitres to litres.\nAnswer: 0.006071858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2696 + 5198. Let t = -6020 + n. Is t\/(-1)*(-1)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {o: 9, i: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 18. Let g(h) = 9. Determine 5*g(q) - 3*r(q).\nAnswer: 3*q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdt when three letters picked without replacement from {t: 7, d: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-16) - 4)*(-18)\/(-7)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*i*m**3*s + a*i*m**2*s - a*i*m*s + 2*a*i*s + a*m**3*s - 4*a*m**3 - 9*i*m**3 + 461*i*m**2 wrt m?\nAnswer: 12*a*i*s + 6*a*s - 24*a - 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b. Let j(x) = -494*x - 1. Give g(j(w)).\nAnswer: -1482*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27228.56 - 27228. Put i, -0.021, -2 in ascending order.\nAnswer: -2, -0.021, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2 + (0 + 1 - 2)*(-2 + 2 - 2) - 53 + 112 + 50)*(2 - 2 - 2*w).\nAnswer: -218*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 69, -0.2, 0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 - 123*i**2 + 176*i + 240. What is p(60)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 17. Let g be j(0). Suppose g + 16 = 3*b. Suppose -251 - 189 = -5*r. Calculate the highest common factor of r and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -438617 or -438618?\nAnswer: -438617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -154 + 124. Let b = m + 72. Is b > -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-5 - 0)) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 5*p**2 - p + 9. Let h be -3 - (0 + (0 - 3 - 4)). Let w be r(h). Let o = w + -17. Solve 5*y - 8 = 3*f - 1, 0 = o*y - 4*f - 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 12:34 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 9:32 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1412882386673 + 0.3.\nAnswer: -1412882386672.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -0.024, -5, 5\/6, -787, -2\/11?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/2))**(-6)*h**(-5)*h*h*h*h**6)\/((h**1*h)**36\/((h*h**(1\/2)*h*h)\/(h\/(h*h*h**(-3))))) assuming h is positive.\nAnswer: h**(-139\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yklklelzl. Give prob of sequence lzl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19859776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) -0.04 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -137, -279, -425, -575?\n\"Answer: -2*y**2 - 136*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 20*m**2 + 4*m - 29. Let v(q) = 7*q**2 + q - 10. Let d(n) = 17*v(n) - 6*x(n). Calculate d(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12955939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -52\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3300883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5011249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 3*j - 163. Give g(-13).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 9 - 11 = 0. Suppose c + 4 = 2*h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 132990562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1, -9657, -1, 0.03, 2\/3 in decreasing order.\nAnswer: 1, 2\/3, 2\/7, 0.03, -1, -9657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/7 - 4616*h\/7 - 36800\/7 = 0.\nAnswer: -2300, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = -4*q + 8*q. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 64 and 36688.\nAnswer: 36752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 3:36 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 7:13 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 + 2*z. Suppose -38 = -11*p - 5. What is l(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -125 - -148 - (-1 - -13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - r + 6 + 1 = 0, 3 = y + 4*r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - -2*sqrt(153)*6) + sqrt(153) + 5 + (sqrt(153) - (sqrt(153) + 0)) + sqrt(153))**2.\nAnswer: 450*sqrt(17) + 34450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 12*j**2 + j - 7. Let z be w(-12). Let g = 35 + z. Solve -4*n + 0 = g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11426 and 19633?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11878 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-88)\/44 - 3\/(-2))*-572?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 + 5*x - 3*x + 8*x**3 - 4*x to the form l*x**3 + u*x**2 + q + z*x and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/3 (b) 2076201 (c) 4 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 40056 to the nearest one thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-6 - -9 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9\/7830*(-70)\/(-98)*21\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -y + 103. Suppose -y = -2*x + 239. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158954*-28.\nAnswer: -4450712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.3 + 4.9. Which is the second smallest value? (a) x (b) 1\/3 (c) 0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 844204.43 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -31032111230 (base 4) to base 6\nAnswer: -202145032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*h + 4 = 0, 0 = -k - 19*h + 15*h - 12. Is (47 - -3)\/(k\/22) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1064 - 1060. Let d = -4 - -8. What is the smallest common multiple of h and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(1\/(-100)))\/(26488\/13244).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -34 - (-4)\/((-12)\/(-3)). Let b = -5 - i. Suppose -25*p - b = -26*p. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**5\/20 + 3*k**4\/8 - 9*k**2. Factor a(m).\nAnswer: 3*m*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 12*n + 1295. What are the prime factors of a(-12)?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*23*(-21)\/(-966)*17\/1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o + 10 = 0. Let v = -44 + 35. Let m = 12 + v. Put o, m, 0 in descending order.\nAnswer: o, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.6 - -0.4. Let f = 8.0534 + 0.0266. Let d = f + -0.08. Which is the third smallest value? (a) -4 (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15536401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/4)\/(((-150)\/225)\/((-4)\/42))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 560, 541, 532, 539, 568, 625, 716?\n\"Answer: z**3 - z**2 - 23*z + 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b**2 + 4 + 2*b + 14*b**2 - 17*b**2. Is k(4) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -7\/5*q**5 - 4\/3*q**4 + 1 + 0*q**2 - 3*q + 8\/3*q**3 - 4\/15*q**6. Suppose h(n) = 0. What is n?\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74 or -145\/2?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, k: 14}. Give prob of sequence bkb.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22453 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 100*x**3 + 5*x**2 + x - 6. Let t be m(-2). Let p = t - -1774. Is p a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 - 56144*m**2\/3 + 788037184*m\/3.\nAnswer: m*(m - 28072)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-12) + 0 + 315\/(-84). Calculate the remainder when 74\/v*1*-12 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -58, -69, -82?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5983 + 1858. Let u = a + 1802. Let w = 18543\/8 + u. What is the common denominator of -93\/10 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1de43b - 2?\nAnswer: -1de43d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3956 by 2.\nAnswer: -1978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15.06, 229, 0 in ascending order.\nAnswer: 0, 15.06, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/150 + (-1634)\/(-5225)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 537138 and 945777?\nAnswer: 834175314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183816*z + 1917 = 183745*z for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-8 - -4)) + 12 + -13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**5\/10 - f**4\/12 - 11*f**3\/6 + 5*f**2\/2 + 7*f. Let n be q(11). Suppose -n = -6*c + c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.621 + -0.621. What is the fifth biggest value in 0.4, c, -1, 0.33, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 9:43 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**5 + 170*u**4 - 6397*u**3 + 77220*u**2 - 178596*u = 0.\nAnswer: 0, 3, 22, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -20982*x. Let v(k) = k. Determine v(o(y)).\nAnswer: -20982*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-4)*(-2 + 2 + -6). Suppose -23*o = -18*o - y. Find the second derivative of 5*i + 17*i**2 - o*i - 5*i**2 + 2*i wrt i.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/2 - (-20800)\/1200.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -365.91 - -363. Let x = q - -0.31. Let o = -2.2 - x. Which is the nearest to 2? (a) o (b) 0.2 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 - j**2 + 67. Let a be t(0). Let z = a + -62. Calculate the remainder when 44 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 5) in base 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 3:29 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20506303 is divided by 12596.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28844148887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3542703?\nAnswer: 3, 1180901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, p: 8, t: 1, q: 1, a: 3, i: 2}. What is prob of sequence ipp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 4\/5, 7\/50?\nAnswer: 7\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -11. Let a be (-2)\/3 + 8\/x. Suppose -3*i - a*i = -20. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/1)\/((-4)\/(-6)). Let o be (-124)\/(-12) + 2\/r. Let i = 18 - o. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 15. Suppose 0 = -q*v + 6 + 2. Let f(o) = 3*o**3 - 4*o**2 - 4. Let h = -8 + 1. Let z(d) = 5*d**3 - 7*d**2 - 7. Calculate h*f(k) + v*z(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -31*m**3 + 2*m**2 - 10*m + 5. Suppose -5*y + 64 = -16. Let h = 23 - y. Let n be q(h). Round n to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2\/8439 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkff when four letters picked without replacement from {k: 2, i: 7, f: 2, n: 1}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4493657643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8674, -8695, -8716?\n\"Answer: -21*z - 8653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62387867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2428297 decades in millennia?\nAnswer: 0.002428297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -5156?\nAnswer: -5\/5156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6609264 divided by -24.\nAnswer: 275386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((56\/8)\/14)\/((-6)\/(-756)))\/3\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i - 51 + 3 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**3 - 6*j**3 + 8*j**3 - 11 to the form n*j**2 + s + f*j**3 + v*j and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - -13?\nAnswer: 1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*s = -220*s + 4387 + 933 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19830, -20800, -21770, -22740, -23710, -24680?\n\"Answer: -970*c - 18860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 18*h + 77 + 127 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 3, u: 1, b: 3, l: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137 - 137.000021. What is t rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 9:51 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7765799 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i + 2. Let o(q) be the third derivative of 0*q + 0*q**3 + 1\/24*q**4 + 0 + 26*q**2. Calculate o(v(a)).\nAnswer: 7*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 94? (a) 14 (b) 5 (c) -4.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**12*z\/(z\/(z*z*z\/z**(-10\/3))))**(-33) assuming z is positive.\nAnswer: z**(-671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8346 and 48471?\nAnswer: 1260246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28523*n**3 + 2*n**2 - 8593*n - 2?\nAnswer: 171138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v - 88*v = -466 - 290. Let g be 0*(5\/2 + -2). Sort 3, g, v, 5 in ascending order.\nAnswer: g, 3, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 + 5. Suppose 2*r + 4*m = 30, -40 = -3*r - m - 4*m. Let q(x) = -10 + 9 + 1 + 6 + 2*x**3. Determine r*q(z) - 6*v(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 60108465, 60108462, 60108459, 60108456, 60108453, 60108450?\n\"Answer: -3*q + 60108468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 36*r - 150. Determine p(38).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p + 4. Let h be x(4). Calculate the greatest common factor of h and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 19.3044 hours?\nAnswer: 69495840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111 - 80*a**3 - 1 - 114 to the form y*a**3 + r*a + g*a**2 + n and give y.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173952.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1129 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20286\/5145 - 6\/(-105). Sort -4\/173, t, 0.3 in decreasing order.\nAnswer: t, 0.3, -4\/173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1241029*k**4 - 2*k**3 - 14*k - 125134416 wrt k?\nAnswer: -4964116*k**3 - 6*k**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**3 - 6*j**2 + 2*j + 27. Suppose 5*h - 3*a + 9 = 4*h, a - 35 = -5*h. Is 8 a factor of y(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(84\/(-22756)) - -2. Let g = z + 808. Calculate the common denominator of 37\/11 and g.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 - 262*p + 222. Let a(f) = f**2 - f. Let u(n) = 3*a(n) - k(n). Differentiate u(x) with respect to x.\nAnswer: -2*x + 259","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5 + 20*y**4 + 32*y**3 - 76*y**2 - 34*y + 56 = 0. Calculate y.\nAnswer: -7, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55114, 55112, 55110?\n\"Answer: -2*j + 55116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/8 and 245\/15 + (-3)\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 14 = 39, 4*r + 17 = -5*f. Suppose 0*b + a + 27 = 5*b, r*b = -3*a + 4. Solve 2*h = -4*i + b*h - 23, -3*i - 10 = 5*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 13*c + 179. Calculate the least common multiple of 108 and q(-11).\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*m + 2*m + 2*m)*(0 + 3 - 2) - 6963*m + 4436*m - 6117*m - 734 + 380 + 366 to t + x*m and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 279\/(-39) - 2\/65*-5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5454\/(-10) - -1)\/((-2)\/5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688470 rounded to the nearest 10000?\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -10*j - 2. Let m(q) = 24. Let k(p) = -133. Let d(l) = -15. Let z(s) = 35*d(s) - 4*k(s). Let w(r) = -2*m(r) + 7*z(r). Give f(g) + 2*w(g).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -12*q + 43. Let n(t) = 25*t - 80. Let f(a) = 11*h(a) + 6*n(a). Let o(i) = i - 1. What is f(m) - 6*o(m)?\nAnswer: 12*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6592063?\nAnswer: 67, 98389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = 0, -2*l = -w + 4*w + 13. Let f be (-10)\/35*(-4 - l). Is f greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*c - 2 = 20, -5*u + 2*c + 15 = 0. Solve 4*n + 4 = 4*b, 1 + u = 2*n + 2*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.064, 0.4, 132, 5, 1, 3, -1\/5 in descending order.\nAnswer: 132, 5, 3, 1, 0.4, 0.064, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14113 + 5759 = 36*g. Calculate the highest common factor of g and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 211*b = 212*b + 12, -4*r = 4*b - 24. Solve 8 = -5*q - 3*u - 16, -r = 3*q - 2*u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3054787 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*g - 314*g + 63786 + 450442. Calculate the greatest common factor of g and 928.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-35)\/(-14)*266\/35. Suppose -15567 = -i*p + 26366. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2*w + 0 + 2 = 0, 3*w - 3 = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 6212630*p - 1929838575845.\nAnswer: -5*(p - 621263)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 380030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -565*v**2 - 1857*v**2 + 0*v - 121*v + 121*v. Let g(r) = 2*r**2. Give g(j(z)).\nAnswer: 11732168*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 6*x - 1. Let p = -71 - -79. Let r(z) = -7 - 1 + 10*z - z**2 - 2. Let q be r(p). Determine h(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -1\/9 (b) -5 (c) 2\/9 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 16. Suppose f + 16 = -5*d, -5*f = -2*f + b*d + 8. Solve 5 - f = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 14*z = 9*z - 112, 0 = o + 3*z - 28. Suppose 49 - 7 = -3*b. Let v = b + o. What is the remainder when 53 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.160437 rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-440)\/30 + (-539)\/(-363).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1134 and 145\/1458.\nAnswer: 10206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 255.9, -3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11466546988 - 11466546988 + 67*f**3.\nAnswer: 67*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -272 - -247.2. Let m = b - -19.8. Put m, -6, -0.3 in decreasing order.\nAnswer: -0.3, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2175743 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 386, 3, -4 in descending order.\nAnswer: 386, 3, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + k**2 + 8. Let y be v(0). Solve -3*t - 2*o + 0*o - 4 = 0, 0 = t + 4*o + y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12194, -12182, -12162, -12134, -12098, -12054, -12002?\n\"Answer: 4*k**2 - 12198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5749446 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 30665 times 144\nAnswer: 4415760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3482.\nAnswer: 2, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*u - 5*u + 10, -4*v = 0. Solve 2*q = 4*i + u, 3*q - 6*i = -2*i - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 4*z + 4. Let y be p(4). Suppose -3*v + 8 = -2*q, -v - y*q = -0*q + 16. Solve v*r + 1 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 22\/22365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*t**3 - 8*t**3 - 24*t + 24*t.\nAnswer: 32*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 38.33498 centuries?\nAnswer: 3833.498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 56525511184580?\nAnswer: 56525511184583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 326268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3) + sqrt(12)\/sqrt(4) - sqrt(24)\/sqrt(72)) + sqrt(363)*1 + sqrt(3) + 4*sqrt(108) + -5.\nAnswer: -7 + 113*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 + 3 + 2) - ((-45 - -84) + -32)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*1\/4*-12. Calculate the greatest common factor of 2 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(833) - (sqrt(833) + -2)*-3) + sqrt(833) + 4)**2 + -1).\nAnswer: -700*sqrt(17) + 104140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22120 - 11?\nAnswer: -22201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -102 - -191. Let v(f) = f**3 + 3*f**2 - 5*f - 3. Let q be v(-4). Find the common denominator of 91\/10 and (q\/(-5))\/((-4)\/a).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 19*s - 16. Let z be s*-2*5\/4 + 2. Let v be (-2 - (-399)\/270) + (-4)\/z. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8783*x - 78892. Give l(-9).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -813 - -945. What is the remainder when 658 is divided by c?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 225, 228, 231, 234?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-4) + 1\/(-4). Suppose -6*w + w = 3*n - 10, -4*n = 0. Let h = w - s. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(600) + sqrt(600))\/(sqrt(128)*6).\nAnswer: 5*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 41656*z - 41648. Calculate x(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (130\/(-585))\/(1\/(-3)*-1). Let d = -0.7 - -1. Let j = d - 0.2. What is the closest to z in j, -2, 1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -134\/3? (a) 1\/7 (b) -2\/11 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5*b + 0*b + 3*b)*(-1 - 3 + 3) + 2*b + 0 + 0)*(2 + 0 - 3)*(-3 + 2 - 1)*(180 - 68 - 1) in the form u + w*b and give w.\nAnswer: 888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1496162.9707 rounded to the nearest ten?\nAnswer: -1496160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.5 + 4.3. What is u rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.84432 grams in kilograms?\nAnswer: 0.00284432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 + 13*r - 14. Let o(c) = -7*c**2 - 26*c + 30. Let a(d) = 9*b(d) + 4*o(d). What is a(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -5 + 80\/(-2 + 7) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36174 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16905673 from 41.3.\nAnswer: 16905714.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 4) to base 16\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4 = 4*k, 4*k + 68 = 4*d. Suppose -4*j + 120 = -2*h, j - 2*j + d = 3*h. Suppose -4*l - 4 + j = 0. Calculate the remainder when l is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -162 - -213. Do a and 54 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 4)*(-4)\/6*(-11)\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 193 = 4*n, -c - 4*n + 18 + 41 = 0. Let b be (7\/2 - 2)*18. What is the greatest common divisor of b and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 8*z - 10. Let k(r) = r**3 + 2*r**2 - 3*r - 3. Let q be k(z). Factor 1\/3*m**2 + 0 - 1\/3*m**5 - m**q + m**4 + 0*m.\nAnswer: -m**2*(m - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + q - 2*q)*(-2 + 0 + 6)*(-38 + 93 - 20) to the form y*q + t and give y.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -j - 9*k + 895682, -4*k + 4478524 = 5*j. What is j rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8918 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdgsggdsksssgggdgs. Give prob of picking 2 g.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 2 + 5 + 1 + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/25)\/((-18)\/(-1185)) and -93\/50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 4*h + 13, 2*h + h + 9 = 4*y. Suppose 10 = z + y. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1216) + sqrt(1216) + 2 + sqrt(1216) - sqrt(1216))**2*-3 + (sqrt(19) + -2 + -5 - sqrt(19) - ((sqrt(57)\/sqrt(3))**2 + sqrt(19) + -4)).\nAnswer: -14623 - 193*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1245\/(-1909)*(-299)\/13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**7\/1260 + x**6\/240 + x**4\/4 + x. Let f(p) be the third derivative of s(p). What is the second derivative of f(a) wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f - 2. Let o be b(-2). Suppose g + 3 = i - 0, 3*g + o*i = -9. Let n be (-99)\/12*1\/3. Which is greater: g or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42733999 is divided by 817?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -73*o. Let h(t) = 4*t**2 + 5*t + 5. Let d(b) = b**2 + b + 1. Let l(f) = 10*d(f) - 2*h(f). What is g(l(m))?\nAnswer: -146*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1)*d**2\/d)\/((d**(1\/6)\/d)\/d*d*d**(-7)*d*d))**(-3\/2))**4 assuming d is positive.\nAnswer: d**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -473*k**3 - 17884*k**2 + 1534*k + 22612 wrt k.\nAnswer: -2838*k - 35768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**3 - 81*d + 81*d)*(-1 + 1 - 2*d) + (6 - 5 + 3)*(d**3 + 85 + 2*d**4 - 85).\nAnswer: 18*d**4 + 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1876274?\nAnswer: 2, 643, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.089\nAnswer: 0.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 23040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3933825, 7867651, 11801477, 15735303?\n\"Answer: 3933826*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9d (base 16) to base 7\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1667 + -1645. What is the remainder when u is divided by 9\/(2 + (-5)\/4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/27? (a) 0 (b) -62 (c) 0.5 (d) 3 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**2 + 21*d + 20. Let t be l(5). Suppose -3*r + 2 = 8. Sort t, r, 3 in decreasing order.\nAnswer: 3, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -2\/7 (c) -258 (d) -0.1 (e) -0.2 (f) 21 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 34633\nAnswer: 34633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612 = 5*l - 503. What are the prime factors of l?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 + -7967c8?\nAnswer: -796819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35804700 a multiple of 596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 5*h**2 + 9*h - 1. Let n be w(6). What is the common denominator of (n\/16 + -1)*97 and 3\/5*(-2)\/3 + 140063\/(-13090)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + (-247)\/38 + 1\/(-2). Solve v = -50*a + 88*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2609417 - 2*b**2 + 0*b**2 + b**2 + 2609419.\nAnswer: -b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v**3 - 2*v**4 - 22*v**3 - v**2 - 20*v**3 + 5*v - 11*v - 67*v**3 to the form t*v**4 + g*v**3 + d + r*v + w*v**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5314743 divided by -2\nAnswer: 5314743\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 0.604383?\nAnswer: -0.804383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195 - (173 - (36 - -17)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/4092 and -47\/153410816.\nAnswer: 5062556928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 287336823*s**5 - 197115012*s**2 wrt s.\nAnswer: 17240209380*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11761778 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 1061162922*c + 1061162840*c.\nAnswer: -82*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/4)\/(66\/(-110))*2. Suppose 0 = 5*q + 5*o - 24645, -j*q = -q - 2*o - 19704. Let m = -2042 + q. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + -4 + (sqrt(14) + sqrt(14) + sqrt(504))\/sqrt(2) + sqrt(7))**2.\nAnswer: -128*sqrt(7) + 1808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -172, -341, -512, -685?\n\"Answer: -i**2 - 166*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w. Let o(p) = p**3 - 7*p**2 - p + 14. Let x be o(7). Let y(b) = 2*b**2 + x - 1 - 6. Give f(y(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 464 - 1859\/4. Put k, 1, 5, 0.2 in decreasing order.\nAnswer: 5, 1, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/47 in 0.2, 37300.7, 0.4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -45308.5960732.\nAnswer: -45308.5960732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 642\/7 + 0 - 18\/(-63). Suppose 3*b = 5*d + c, -2*b + 3*b + 2*d = 27. Let l = b - 28. Solve 5*k - 45 = -5*y, -y = -2*y + k - l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 - -5.5. Let k = 0 + c. Let g = -71\/28 + 16\/7. What is the second biggest value in k, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - 2) + (543 - 534).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -632 - 3050 = 7*u. Let k = -176 - u. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 17 = -7. Suppose 3*x = -s + 2, 3*s + 0*x + 2*x - z = 0. Solve 0 = s*g + 2*g + c - 8, 3*g - 23 = -5*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 223 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4626 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*105\/(-112) - -2. Put 2\/3, -1\/12, z, 2\/9 in ascending order.\nAnswer: -1\/12, z, 2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4739428151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 10*c**2 + 16*c + 20. Calculate the remainder when 32 is divided by s(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63727 = 2*b + 7*j - 19823, -3*j + 125370 = 3*b. Does 162 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -5*f + w - 6*w, 0 = -4*f + 2*w + 72. Suppose -3*v = -a - 161, -6 - 53 = -v - 5*a. Calculate the remainder when v is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 times -7.63?\nAnswer: 717.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 60 - (16 - (20 - (51 + -24)))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7136910 and 396?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3603429?\nAnswer: 3, 400381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 15*r**2 + 2*r. Let z be b(-2). Let u = z + -6. What is the highest common divisor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 11*j + 34 - 31. Calculate the remainder when (-2 - 24)*(-2)\/4 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*j - 48, -3*u + 0*u - 7*j + 10 = 0. Let w(q) = -2*q - 9. Let k(i) = -i - 3. Let p be -2 + ((-3)\/1)\/3. Give p*w(m) + u*k(m).\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, z: 5, n: 1, h: 1, f: 1}. What is prob of sequence zfh?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, q: 1, o: 2, c: 2, u: 2, s: 1}. What is prob of sequence fsq?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 1. Let o be 1 - 0\/(0 - 3). Let n be l(o). Suppose n = -d + 5*i + 2, -i = -2*d - 5*i + 18. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 0, 5, 14, 27, 44, 65?\n\"Answer: 2*y**2 - y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5789 and 0.2?\nAnswer: 5789.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 10033*c**2 - 2*c - 2. Suppose 5*n = 63 - 68. Is i(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*(-6*sqrt(27))**2.\nAnswer: 4859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/16 + -3 + 33297\/(-24). Let b = h - -20876\/15. Is b less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30125 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = t + 47, -5*o + 2*t = -52 - 65. Put -1, -2, o in ascending order.\nAnswer: -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3475 - 3452. Calculate the greatest common factor of h and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*i - 1 = 0, -14 = 3*y - 5*i + 3. Let f be 66\/14 - 4\/y. Solve -f*t - 2 = -22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 7. Let d be k(3). Suppose -y + 5*y - d = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116122727 is divided by 505?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - 88*f**2 - 153*f - 143. Determine t(46).\nAnswer: 1283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161478?\nAnswer: 2, 3, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 720?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 + 7*r**2 + 9*r**2.\nAnswer: 16*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*j - 123*j + 4*z = 0, 2*z - 1 = -3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 + 0 - 1 + m**2 - 2*m**4 - m**2 + m to j*m**3 + f*m**2 + k*m + l*m**4 + d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/7, 2\/17, 15\/87227?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9296000 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.02 + -1.98. Which is the third biggest value? (a) w (b) 3 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1298, -2393, -3382, -4265?\nAnswer: -5042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101 + 1110011000?\nAnswer: 1111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 8 = -2*l. Let k be l\/(-6)*(-1 + 10). Suppose 5*x - 163 + k = -5*z, 0 = -4*x + 5*z + 92. Calculate the greatest common divisor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 10*f**2 + 13*f + 37. Let a be j(-9). Let k be (-43 + 39)*a\/(-8). Are k and -3\/16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8515464 divided by -3.\nAnswer: -2838488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (54\/270)\/(2\/1110). What is f rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46871298?\nAnswer: 2, 3, 96443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s = 4*c - 12, -4*s + 9 = 3*c. Let n(b) = b**3 + b**2 - b + 3. What are the prime factors of n(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/7 + (-5 + 7)\/2. What is h in y*h - 4\/7 - 12\/7*h**2 = 0?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23039\/96 - -240. Let m(h) be the third derivative of 0*h**3 - t*h**4 + 0 + 2*h**2 + 1\/240*h**5 + 0*h. Let m(i) = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - c = c + 3, -3*c - 8 = -5*o. Let s be 0\/2 - (-4 + o). Find the first derivative of -31*f**3 + 9 - 39 + 19*f**s + 28*f**3 wrt f.\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168361368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8\/c*c**(-2\/5)*c*c)**(15\/2)*c\/(c\/(c\/(((c\/c**4)\/c)\/c)))*c*c**(1\/6)*c**0\/c**(-7) assuming c is positive.\nAnswer: c**(236\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*o**4 - 139*o**3 - 30*o + 1033624 wrt o?\nAnswer: -52*o**3 - 417*o**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*g**3 - 2 - 76*g + 76*g to the form v + s*g**3 + w*g**2 + r*g and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2964, 5 in decreasing order.\nAnswer: 2964, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 5 (c) -2\/17 (d) -31 (e) -0.053\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23006.5090765 minus -0.5?\nAnswer: -23006.0090765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -7.7. Suppose -17*g + 5 = -12*g. Let l be -4*g\/2 + -3. What is the closest to 0.1 in l, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Let a = -240 - -365. Suppose g*p - 43 = -2*c + c, 0 = 5*c + 2*p - a. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, h: 2, k: 6, r: 1, d: 2}. What is prob of sequence ri?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.572 - 6013847.1.\nAnswer: -6013854.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3893 + 3903. Solve 0 = -a*m + 3*m + 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2233009, 4466011, 6698987, 8931925, 11164813, 13397639, 15630391?\n\"Answer: -2*r**3 - r**2 + 2233019*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*i - 22092, -16139 = -3*t - 2*i + 447. What are the prime factors of t?\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 267449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*(2*sqrt(72) - sqrt(72) - sqrt(72))*-1)**2 - -5*(4 + (0 + sqrt(72) - sqrt(72)) - ((sqrt(72) + sqrt(72) + 2)**2 - sqrt(72))*1).\nAnswer: -1442 - 210*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 2. Let f be y(0). Suppose 24 = f*b - 0*b. Let o = -3 + b. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 234 - 157. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pplplppppplpppplpp. Give prob of picking 1 l and 1 p.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -161, -615, -1371, -2429, -3789?\n\"Answer: -151*m**2 - m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1191341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 198 + -4?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4210 is divided by 535.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(297) - (sqrt(297) + (sqrt(297)*-6 + sqrt(297) - sqrt(297)))) + sqrt(297))*-2)\/(sqrt(99)\/(5*sqrt(441))).\nAnswer: -1470*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 107?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2277 and 207?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 - -211030?\nAnswer: 211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3425818 * 3.\nAnswer: -10277454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 7) in base 3?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 35 = -29 + 22 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**3 - 7*s**2 - 8*s - 25. Let o(g) = -g**3. Let a(x) = -c(x) - 6*o(x). Let p be a(-8). Let j = p + 210. Does 19 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5190291981?\nAnswer: 3, 7, 17, 4846211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-17)\/(204\/(-84))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(24\/(-9) - -2). Let r = 6 - a. Suppose 0 = 5*n - r*n - 75. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v + 599. What is the tens digit of j(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12083305 (base 9) in base 12?\nAnswer: 1b86972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73049139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-247)\/(-143) - 2) + 7354\/27126. Is m <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 399 and 670776?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -91384696*j - 53644443 wrt j?\nAnswer: -91384696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - 1 + 1 - 3*u + u + 3*u + (1 - 5 + 2)*(-4*u + 5*u - 3*u) - 3*u - u + 3*u + (-3*u + 3*u - u)*(1 - 1 - 3) + u - 1 + 1 + u + 2*u + u.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20100 + -12?\nAnswer: 20011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 14 = 2*f - 0*f, 0 = 3*f - 15. Let n = 5 + s. What is the remainder when n is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 116 = -47*c. Solve 4*p = k + 15, -c*p + 3*p = -k + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 268 - 261 = 3*c, -18*c + 97 = -5*d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.01, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 114143, 0.3, -4?\nAnswer: 114143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.27 - -4.27. Let z = 4 - 2. Put z, t, -0.1, 6 in descending order.\nAnswer: 6, z, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by 2\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 3113*b + 3049*b + 19.\nAnswer: -64*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3393, 6771, 10129, 13461, 16761, 20023?\n\"Answer: -l**3 - 4*l**2 + 3397*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4248763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2*b - 3 = -4*j, 0 = b + 2*j - 5. Let n(x) = x**2 + x. Let q(m) = 14*m + 1 + 6*m**2 - 3*m - 6*m. Give b*q(s) - 5*n(s).\nAnswer: s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1183412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6659259 or -33296294\/5?\nAnswer: -6659259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001 - 11112?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - 56?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 144*s**2 - s - 2. Suppose 3*c + 2*l = 11, 2*c + 2*l = 5 + 3. Let t be w(c). Suppose -2*f - 3*f + 1277 = 4*r, -5*f + 3*r = -t. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 377748 and 51282.\nAnswer: 153743436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h. Let r(a) be the third derivative of a**2 - 1\/20*a**6 + 0*a**3 + h*a - 1\/35*a**7 - 1\/168*a**8 + 0*a**4 - 1\/30*a**5 + 0. Factor r(v).\nAnswer: -2*v**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5*y = 25, 491387*y - 105 = 13*j + 491392*y for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2. Let o(p) = 10731736*p + 14. Give o(d(z)).\nAnswer: 32195208*z**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.21248 - -0.40524. Let r = t - 0.617. What is r rounded to 5 decimal places?\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14*65.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.158608 - -0.17851. Let h = 0.080096 + p. Let y = h - 0.1. Round y to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4478020055 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(833) + -3 + sqrt(833))**2)*1.\nAnswer: -84*sqrt(17) + 3340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1761 is divided by 131.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88925.57 - 0.149507.\nAnswer: 88925.420493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/995266 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 64 = 4*s - 5*s, -3*j = 5*s - 276. Are 59 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c - 18. Let u(i) = -3*i - 17. Let n be u(-9). Let j = 1 + n. Calculate the least common multiple of c and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89969 by -151.\nAnswer: -89969\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3770 - -26245?\nAnswer: 22475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 8736 and 8740 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + c - 4)*(0 + 0 + 2)*(0 + 1 - 3 + 13*c).\nAnswer: 26*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -12. What is the remainder when 42 is divided by 387\/18 - n\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.00174575.\nAnswer: 0.00174575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61439027 rounded to four decimal places?\nAnswer: 0.6144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -3, 442 in descending order.\nAnswer: 442, 17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 - 7*k**3 - 5*k + 5*k + 3*k**3 - 268*k**2 + k to the form r*k + s + i*k**3 + h*k**2 and give h.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 11781.2583 microseconds?\nAnswer: 0.00000001947959375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - 6*d + 10*d**2 - 2*d + 4*d in the form h*d**2 + u + k*d and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11*v. Let r(a) be the second derivative of a**4\/4 + 5*a**2\/2 + 15*a. Let z(b) = 2*b**2 + 4. Let f(l) = -4*r(l) + 5*z(l). Calculate f(c(o)).\nAnswer: -242*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173 - 77 - 96 - 2*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 257521\nAnswer: 2\/257521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 195, -10\/191, -14 in increasing order.\nAnswer: -14, -10\/191, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*1*((-138)\/18 - 4). Suppose -57*w + 61*w - 84 = 0. What is the highest common factor of l and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-1)))\/(q\/(q\/(q*(q\/(q**14\/q))\/q*q))))\/(q*q\/(q**10*q)*q*q)**(-35) assuming q is positive.\nAnswer: q**(-235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdeo when four letters picked without replacement from {d: 1, t: 2, e: 1, o: 2, u: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-3 + -6 + 14).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*l**3 + 4841*l**3 + 2088*l**3 - 26*l + 26*l.\nAnswer: 6845*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 908 = z, 4*v = 9*v + 2*z - 1122. Calculate the remainder when v is divided by 190.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-110)\/(-12) - (-3)\/(-18). Let i be (-2)\/(-9) + ((-341)\/(-45) - (-8)\/(-10)). What is the greatest common factor of p and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32187170 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 31*h + 68. Let q be c(-33). Calculate the common denominator of (-2)\/6 - (-639)\/378 and 20\/(-70) - (-59)\/(-224)*q.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 369\/(49 - (-884)\/(-17)).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 3.8 (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnclnotoyttnt. Give prob of sequence oon.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = 10. Suppose 1 = s*y + 6. Let u = -1 - 0. Is y <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 3*v + 6. Suppose 0 = j + 3*j - 16. Is w(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304808.8 tonnes in kilograms?\nAnswer: 304808800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -v - 12, 4*a - 2 = -v + 21. Suppose -4*d - 622 = -3*u + u, -1480 = -a*u - 5*d. Let g = -153 + u. Does 37 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16180 to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -28*y + 748. Solve -8*z + 2 = y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(-2*(sqrt(12) + sqrt(108))).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*b + 19, 0 = -4*f + 2*b + 6 + 16. Suppose p - f = -2*g - 0*g, -3*p - 3*g - 3 = 0. What is the common denominator of 36 and (-447)\/(-18) + 2*p\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1, -133, -3?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4741245 - x**3 - 4741226 + 2*x**3 + 9482506.\nAnswer: x**3 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16622 less than -0.315?\nAnswer: -16622.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4128, -1\/5, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 1, 58, -0.1?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 93a?\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**6\/1440 - o**5\/160 - 5*o**3\/3 + 7. Let i(p) be the third derivative of l(p). Let i(h) = 0. Calculate h.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**6 + 23*n**5 - 110*n**3 - 3053*n**2 wrt n.\nAnswer: 120*n**3 + 1380*n**2 - 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6581215533 to the nearest integer?\nAnswer: 81125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, j: 2, u: 2, c: 2, q: 9}. What is prob of picking 1 j, 1 c, 1 q, and 1 u?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/40 - (-7)\/4. Suppose y + b*y + 25 = 4*s, s = -y + 1. Find the third derivative of -14*f**5 - 9*f**5 + 7*f**5 - 12*f**2 - s*f**2 wrt f.\nAnswer: -960*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 12 = 2*s + s, -4 = -3*u - s. Let v(q) be the second derivative of -1\/24*q**4 + q + 0 - 1\/6*q**3 + u*q**2. Factor v(y).\nAnswer: -y*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 + 69. Suppose 7*w = 10*w - g. Suppose -3*u = -8*u - 2*o + 69, 21 = w*u + 3*o. Solve -t = -6*t - u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -79055, -316391, -712009, -1265909, -1978091?\n\"Answer: -79141*m**2 + 87*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -17. Suppose 20 = 4*t, -i - 5*t = -k*t - 29. What is the second derivative of -12 + r + 16 - i + 6*r**2 wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 - 56088*x**4 + 768198232*x**3 + 512299490976*x**2 + 83427252357904*x.\nAnswer: x*(x - 28366)**2*(x + 322)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -821, -2.3, 8 in decreasing order.\nAnswer: 8, -2.3, -821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - 47*x**2 + 60 - 60 to o*x**2 + b*x + j and give o.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 5*m - 20 = 0. Let g(j) = j**3 - 7 + 10*j - 5*j**2 - 3*j - 2*j**2. Let h be g(6). What is the third biggest value in h, m, -4\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 6*v + 1 + 9)*(21*v**2 - 91*v**2 - 199*v**2).\nAnswer: -1614*v**3 + 269*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992 is divided by 367?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(9\/7)*i*i)\/i*i\/((i*i*i\/i**(4\/7))\/i*i) assuming i is positive.\nAnswer: i**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/2059 and 27\/10?\nAnswer: 20590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*u = 8, 2*u = -10*z + 6*z - 16. Let n be ((-9)\/4 - z\/16) + 4. Determine a, given that -4\/3 - 7\/3*a**3 - 20\/3*a - 23\/3*a**n = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - o - 1. Suppose t + 3*t - 20 = 0. Let w(y) = 3*y**3 + 5*y**2 + 5*y + 5. Calculate t*u(g) + w(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127557698.\nAnswer: 2, 17, 251, 14947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 10 = 5*g, -5*g - 19 + 13 = -k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/224 and 117\/2240?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 51*l**3 + 2*l**2 - l. Give m(1).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 - -84. Let t = k - 9. Solve -15 = -3*f, 0*w - t*w = 4*f - 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 + 109 = 7*i. Suppose -39 = -3*p + u, -2*p + u + 39 = -4*u. What is the least common multiple of p and i?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2176, 3023, 3836, 4615, 5360?\n\"Answer: -17*c**2 + 898*c + 1295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 - (5 + -7)) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50*n**3*s**2 - n**3*s - 4*n**2*s**2 - 2*n*s**2 + s**2 wrt n?\nAnswer: 300*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 27*t**2 + 2*t**2 + 12*t**2 + 9*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 409 - 413 - (1 + -2 + 12 - 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*p + 472*p - 106*p - 1560 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(12\/11))**(26\/5)*(f*f**(2\/37)*f)**(-2\/57))**(-2\/21) assuming f is positive.\nAnswer: f**(-68384\/128205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*m**5*x**2 + 7*m**4 - m*x + 84*x**2 wrt m?\nAnswer: -200*m**3*x**2 + 84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j**5 + 234*j**4 + 474*j**3 - 468*j**2 - 489*j + 234 = 0.\nAnswer: -13, -3, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.189 + -528.811. Let z = 548 + k. Which is the closest to -2\/7? (a) z (b) 0.1 (c) -0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/8923? (a) 0.3 (b) -3 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3*118.058\nAnswer: -354.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h. Let c(b) be the first derivative of 12*b**3 + 1117. Determine c(p(n)).\nAnswer: 576*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (909\/(-1212)*(-2)\/90)\/((2\/3)\/2)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + -20 + 15 + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 43557467 divided by 16271\nAnswer: 2677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 258989 - 48*n - 18*n - 259031 + (0 + 0 - 2)*(2*n + 2*n - 3*n) + 3 - 3 - 2*n.\nAnswer: -70*n - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 60.08922 decades?\nAnswer: 6.008922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -29 + -2 + -1 + 9 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4173 and 166964512?\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s - 10 = 19*s, 5*a - 5*s - 3290 = 0. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*c + 1068 = 268*c + 7091 + 3039 for c.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l**2 - 64*l - 203. What is p(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -185681, -3 in decreasing order.\nAnswer: 3, -3, -185681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v**4\/4 + 12965*v**3\/4 + 108795*v**2\/2 + 235240*v + 85600 = 0. Calculate v.\nAnswer: -8, -2\/5, 535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((11610\/(-8))\/(-5))\/(87\/232). Suppose -2*j = -0*j + 5*t - 770, -2*j = 3*t - m. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ololiili. What is prob of picking 2 l and 1 i?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*a**2 + 2\/3*a - 2\/9 + 2\/9*a**3.\nAnswer: 2*(a - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 1, o: 1, w: 1, q: 2, z: 1}. What is prob of sequence qo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a decade?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + -4ad9?\nAnswer: -4b04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -29600, -29604, -29608, -29612, -29616?\n\"Answer: -4*l - 29596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*w*w**(-1\/3)*w**(-2)\/(w\/(w*w\/((w**7\/w)\/w))))**50 assuming w is positive.\nAnswer: w**(-1550\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b. Let c(z) = -z - 17. Let p be c(-25). Let k(x) = 14*x + p*x - 6*x + 14*x. What is t(k(u))?\nAnswer: 120*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42004014 a multiple of 534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 22. Let h = -8 + v. Suppose -h*p = 4*j - 18 - 2, -58 = -3*p + j. Calculate the greatest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*m + 3. Suppose -z + 0*s + m*s - 12 = 0, 4*z - 3 = -s. Solve z = 5*x + 12 + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31797 + 31802. Let t = 1 - 0.9. What is the third biggest value in t, 4\/7, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -11631\/4, -3, 5863?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9354162 weeks in days?\nAnswer: 6.5479134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38930936?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8515204*j**2 + 25077834*j wrt j.\nAnswer: -17030408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9741017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 5:10 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.5754879 rounded to 1 dp?\nAnswer: -91.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*3 + -1 + (-11435)\/(-2860). Let r = 11179 + -11178. Which is bigger: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (16 - (0 - -3)) + (-1 - 6)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2+-6300\nAnswer: -6302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-5)*89\/(-534)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(13) - (sqrt(637) - ((sqrt(637) - (sqrt(637) + 0)) + sqrt(637)))**2) - (sqrt(1300) + -2 + sqrt(1300) + 1 + sqrt(1300)).\nAnswer: -29*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 8 = -23. Suppose r*q = -0*u + u + 103, -3*u = 5*q - 153. Calculate the remainder when q is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47006803937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39368318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/105, -1\/6, -0.031, -5, 0 in decreasing order.\nAnswer: 0, -2\/105, -0.031, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 4\/15, -0.084?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -2412.\nAnswer: -2411.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + r + 12 = 0. Let l(y) = 6*y + 113. Let t be l(-12). Suppose t = r*v + 11. Solve -v*k = -3*k + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1250, -2500, -3754, -5012?\n\"Answer: -2*i**2 - 1244*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-2*1)\/(sqrt(81)*-6).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from llylllyxzzllzzxn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**5 + h**3*q + 5153*h**2*q - 1770*h + 7*q wrt h.\nAnswer: 20*h**3 + 6*h*q + 10306*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y - 3*y - y)*(2*y + 2*y - 5*y) + 2*y**2 + y**2 - 5*y**2 + 0*y**2 - 3*y**2 + 2*y**2 - 6*y**2 - 11*y**2 - 2*y**2 - 37*y**2 - 5*y**2 + 4*y**2.\nAnswer: -62*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from bttgtxwybbttx?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14466, -14469, -14470, -14469, -14466?\nAnswer: -14461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 4:16 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from unnununn.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 861206.2 days to microseconds.\nAnswer: 74408215680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 9:33 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/2 (b) 0.6 (c) 2 (d) -3 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (201*z**2 - 201*z**2 - 67*z**3)*((0 - 2 + 3)*(-1 + 5 - 2) - 34 + 48 - 24) in the form x*z + v*z**2 + g*z**3 + s and give g.\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*n*s**4 - 2*n*s**2 + 4*n - 2*s**4 - 7 wrt s?\nAnswer: 408*n*s - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 46034000 to the nearest 1000000.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3)*(a\/(a**(-24\/7)\/a)*a*a)\/a*a**25\/a**(-24))**(-2\/27) assuming a is positive.\nAnswer: a**(-2314\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 4*q**2 - 5. Let o be i(4). Let x = o - -8. Suppose -1682 = -5*b + x*u - 2*u, -b + 5*u = -322. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 + 15 - (-2)\/(-2) - 1. What is the second smallest value in -3\/7, -2\/9, 0.08, l?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18206 (base 10) to base 12.\nAnswer: a652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d - 2. Let v(w) be the second derivative of -7*w**3\/3 + 3*w**2 - 2*w. Suppose u + 0*u + k - 18 = 0, -u + 4*k = -13. Determine u*l(z) + 6*v(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4630340027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -383, 1.1, -3, 0.02?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*3\/24)\/(28\/16).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2920571 - 174037?\nAnswer: -3094608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533494858?\nAnswer: 2, 13, 20519033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 4*v = 7*o - 7, -5*o + v + 7 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*h**2 - 38*h**2 + 169*h**2 - 52*h**2.\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 p, and 1 g when three letters picked without replacement from gbvzgppgg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x + 2*m + 34, 2*m = -5*x + 20. Let p be (3\/x)\/(2 - 0). Which is the nearest to 0? (a) -0.5 (b) 3\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7895*d = -7973*d - 1092 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4613680.\nAnswer: 2, 5, 101, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4576 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 480, 1081, 1922, 3003, 4324, 5885?\nAnswer: 7686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418*k + 138*k - 129*k.\nAnswer: 427*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (53 - 31 - 50)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7396 + 3*f + 0*f + 0*f.\nAnswer: 3*f + 7396","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 4:27 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 188*y - 205*y + 51, -3*a + 8*y - 36 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - g**2 - g - 1. Let z be b(-2). Solve 0 = -z*v + 8 + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43826531?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1638449426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - m = 128. Suppose -8*v - 37 = 203. Let p = v + m. Put 17, p, 4 in decreasing order.\nAnswer: 17, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206901511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247285895?\nAnswer: 5, 49457179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2125368068 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/395 and -31\/34?\nAnswer: 13430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njzjjnzznnjn. Give prob of sequence nj.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a + 109*a**2 - 108*a**2 + 5 - 2*a + 0*a. Let c be n(-4). Let q(i) = 6*i**2 + 3*i - 3. Let h(j) = 6*j**2 + 4*j - 4. Determine c*h(w) + 4*q(w).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + -82.63. Let y = -0.47 + i. Let p = y - -8.73. Round p to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45839\/137508 + -1\/45836. Let k = -0.01 + -1.99. What is the nearest to s in 1\/2, 4, k, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5, -5*q - y + 5*y = -30. Let d be ((-14)\/14)\/(q\/(-10)). Let a be ((-19)\/2)\/(d\/(-10)). Solve -2*j + 22 = -6*j - 5*h, -3*j - 5*h = a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184, 243, 160, -89, -528, -1181, -2072?\nAnswer: -3225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121269.\nAnswer: 3, 40423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 8*l = 3*l - 67, 0 = 5*m + 2*l - 40 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 11:08 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 96346\/6 + (-42)\/63 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 9265991?\nAnswer: 7, 523, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -125ba (base 13) in base 11?\nAnswer: -23567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3564*j - 231. Let m be (-2 + 11)\/(219\/5621). Let b(z) = -31*z + 2. Give m*b(x) + 2*r(x).\nAnswer: -33*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44\/829 - 77685\/51398. Let l = 6343\/1736 + i. Calculate the common denominator of l and -107\/88.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 2288736?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d**3 - 53*d**2 - 19*d + 4. Let s(a) = -2*a**3 + a**2 - 5*a + 2. Calculate -3*s(p) + t(p).\nAnswer: -2*p**3 - 56*p**2 - 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -5.3806958.\nAnswer: -26.903479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20517*x**5 + 54*x**4 - 2*x**2 - 29008480 wrt x.\nAnswer: -1231020*x**2 + 1296*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u**2 + 4*u - 5. Suppose 6*m - 18 - 12 = 0. Suppose w = 3*w - m*x + 30, -3*w - 2*x = 7. What is the hundreds digit of y(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2995, -11965, -26907, -47815, -74683?\nAnswer: -107505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 576*u**3\/5 + 128*u**2\/5 - 44*u\/5 - 2.\nAnswer: 2*(4*u + 1)**2*(18*u - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 11*f. Let b(w) = 2*w + 37. Calculate u(b(c)).\nAnswer: 22*c + 407","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 10*q + 102. Let z(a) = -28*a - 272. Let m(k) = -8*l(k) - 3*z(k). Let p(f) = -5*f - 58. Calculate m(p(j)).\nAnswer: -20*j - 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6993?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3 less than -1403416?\nAnswer: -1403421.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zssz when four letters picked without replacement from {s: 10, z: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 3:47 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w + 13 + 2*w - 5*w. Let b = -1 - -7. Give j(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -319 - 2974?\nAnswer: -3293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 3\/20*o**5 + 0*o**2 + 0 + o - 1\/6*o**4 + 0*o**3. What is the third derivative of h(b) wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*c - 1 = c, -4*c - 40 = 4*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -17.5*-0.39\nAnswer: 6.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31208 - -46561. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -26 (b) -4 (c) 2 (d) 2097\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10184 - 77293.\nAnswer: -87477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14623818.\nAnswer: 2, 3, 11, 20143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 330991 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 488877 and 267?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/2*(-1)\/(-2). Let s = 2.8 - 3. Let z be 1\/(-5)*-4 - (-12)\/(-20). Which is the closest to x? (a) z (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/24 - (-1810)\/16. Let n = y + -36. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 321, 342, 363, 384, 405?\n\"Answer: 21*h + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1809 times -0.22777\nAnswer: 0.041203593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 + (3 - 7) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 2*f**3 - 2*f + 3*f**2 - 6 + 3*f**3. Let y be m(-5). Let t(j) = j - 6*j - y*j + 3*j. Let v(w) = 2*w**2. Calculate v(t(n)).\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/48)\/(5\/2 + -2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 3*b**2 - 51. Let c(u) = u**2 - 2. Calculate 3*c(i) + m(i).\nAnswer: i**3 - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3)*x\/(x\/x**1))\/(x*x**(-1)\/x)**47)**(-28) assuming x is positive.\nAnswer: x**(-1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c + 23. Let m be w(-7). Let b(s) = 71*s - 10. List the prime factors of b(m).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.7995 + -9.4. What is t rounded to 2 decimal places?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/9)\/(3\/(-54)). Suppose 0 = -3*x + a - 0. Let g(k) = k**3 + 3*k + x*k**2 - 6 - k - 1 + 4. Calculate g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 7:03 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 3. Let w be 0 + (-1 - (c - 2)). Suppose b - 3 = -w*b. Solve 0 = -4*z + 4*o + b - 5, 11 = 3*z + 4*o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2099029 is divided by 385?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*o**5 - 271*o**3*y**3 + 3*o*y**3 - 2*o*y**2 + 618*y**3 + y wrt o?\nAnswer: -680*o**3 - 1626*o*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1337 + 15578*k - 15578*k - 4*k**2 in the form d*k**2 + u + p*k and give u.\nAnswer: 1337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (-8299 + 0)\/((-6)\/11358). Suppose -3325599 = 4*u + 4*a + 9242421, 5*u = -2*a - t. What is u rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/9, -7301 in descending order.\nAnswer: -2\/9, -0.3, -7301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 4*t**2 - 75. Let a(u) = 55*u. Calculate 3*a(q) - 22*r(q).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2679524986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 3*w. Let j = 25982649\/227 + -114461. Which is greater: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o + 4\/3*o**3 + 3\/2*o**2 + 0. List the prime factors of z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1008 - -962.1. What is u rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 170. Let w(u) = -4*u. Give m(w(y)).\nAnswer: -16*y**2 + 170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -480490 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 645 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*u - 47*u + 5280 = 0. What is the lowest common multiple of u and 968?\nAnswer: 11616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-189)*(-15)\/(-3))\/(-3*1\/(-63))?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/11, 263, 0?\nAnswer: 263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 v, and 1 c when three letters picked without replacement from lcssvulxx.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*f**3 + 164*f**3 + 171*f**3.\nAnswer: 79*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**6\/120 + v**5\/5 - v**4\/2 + 13*v**3\/6 + 2*v**2 + 30*v. Calculate c(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1886, -3685, -5408, -7055?\n\"Answer: 38*s**2 - 1913*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bccbccbcbbbccbccccc. What is prob of sequence cc?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7\/2)*w**(2\/33))\/((w**(-3)*w)\/(w**(10\/9)\/w*w*w)) assuming w is positive.\nAnswer: w**(133\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjj when three letters picked without replacement from {r: 7, j: 4}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34211 - -10?\nAnswer: -34201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 120?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 717.3 * -0.211\nAnswer: -151.3503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4*f + 7*f = 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -101000010?\nAnswer: -100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 5*w + 12, 4*i - 16 = -0*i + 2*w. Solve y = -i*y + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 + 14*l**2 - 27*l - 195. Let s be z(-7). Sort -4, 22, s, -3, 2 in descending order.\nAnswer: 22, 2, -3, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/(-4*2\/(-16))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*l)*(-12*l + 30*l - 4*l).\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqqnggsqggwngs. Give prob of sequence sg.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8*0.284357\nAnswer: -2.274856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 268547338 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -3\/7 (c) -0.4 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 3*t + 1. Let m be n(-1). Let g be (2 - 2) + 4\/((-10)\/(-5)). Solve -5*i = m*j - g + 16, 3*j = -4*i - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186283896 to the nearest integer?\nAnswer: 13649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -237, -1059, -2433, -4359?\n\"Answer: -276*y**2 + 6*y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 12:00 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -1120021212020?\nAnswer: -1120021212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1*(100\/5)\/(-5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-100)\/(-425)*17)\/(-4). Let x be (-2)\/(-5) + 2\/(-5). Sort -4, g, x in decreasing order.\nAnswer: x, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -166818, -166812, -166808, -166806?\n\"Answer: -z**2 + 9*z - 166826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/367982934 and -1\/1212065?\nAnswer: 1839914670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7836919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1749 is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335, -2118, -8303, -20086, -39333, -67910, -107683, -160518?\nAnswer: -228281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 298.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1*(sqrt(2299) - (sqrt(2299) - (sqrt(2299) + 0)) - sqrt(2299)) + 2 - (-1*(sqrt(2299) + -1) + -1))**2 + -1).\nAnswer: 44*sqrt(19) + 2302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1208 and -97\/352?\nAnswer: 53152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 746 times 801?\nAnswer: 597546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1090801516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*a + 153, -a - 2*x = -38 + 10. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11)\/22)\/((-1)\/692). Let f(u) = -13*u - j + 346. Let k(i) = i**2. What is f(k(a))?\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181050473?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v - 23 = 1191*i - 1186*i, -2*i - 3*v - 47 = 0 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 5 + 0 - 0) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -37*u**2 + 38*u**2 + 3 + 7*u - 2 - 5*u. Let j be h(-1). Suppose 0*s - 4*s = 8. Which is smaller: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1919*b**4 + b**3*f**2 + 25781*b*f**2 + 5*f**2 wrt b.\nAnswer: -23028*b**2 + 6*b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.31 + -9.41. Let b = 8 + x. Which is greater: 3 or b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 259 = -5*q + 31, 20 = -4*f. Suppose 22*k - 31*k + 756 = 0. Let l = k - q. Is 25 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -46. Calculate the remainder when h is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-b**2 + 16*b**2 + 24*b**2)*(-3 - 1 + 1) + (0*b - 2*b + b)*(3 - 2*b - 3) + b + b**2 - b + (2*b + 4*b - 4*b)*(1 + 2*b - 1) + 1 - 1 + 2*b**2.\nAnswer: 126*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270170*f**3 + 270166*f**3 - 810506*f**3 + 270166*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5852968 and 29007?\nAnswer: 3223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 26. Solve 2*t - 3 + 9 = w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27a - 10740?\nAnswer: -109ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/3*2*18\/264?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13626, 31389, 49152, 66915?\n\"Answer: 17763*q - 4137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36578*c**3 - 46512 wrt c.\nAnswer: -109734*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 455641 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4520 - 4520. What is the fifth smallest value in w, 0.2, -33, -0.4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, 70, -6, 3, -1.\nAnswer: -11, -6, -1, 1, 3, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**2*i**4 + 41*h**2*i**3 + 16*h**2*i**2 + i**2 wrt i.\nAnswer: -24*h**2*i + 246*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 0, 3, -3\/2 in descending order.\nAnswer: 3, 0, -3\/2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 54, 1 in decreasing order.\nAnswer: 54, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 67*n + 96289 = -64*n, 3*m + 2*n - 57773 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 - 78. What is the biggest value in s, 2\/9, 1\/2, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2 + 11674*r + 11676 = 0.\nAnswer: -1, 5838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21288 + 8*c - 21288 + 3*c**3.\nAnswer: 3*c**3 + 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -4.6. Let n be 85\/15 - 8\/12. Let m be (-1)\/n + (-27)\/(-85). Sort f, m, 0.2 in decreasing order.\nAnswer: 0.2, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.336551 to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202011 - 10?\nAnswer: -202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154909.\nAnswer: 7, 164987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1474 and 0.045.\nAnswer: 0.1924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/2))**(-4\/7))**(-2\/37)*((z*z**0)**(5\/11))**(1\/27) assuming z is positive.\nAnswer: z**(2483\/76923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((405\/1755)\/(20\/884))\/(6\/5)?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 5\/3 (b) 2\/3 (c) 0.13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(104)*4)\/(-2*sqrt(8)*6).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003957403 to seven dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1057444542 + -0.09.\nAnswer: 1057444541.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333*h + 6*h**2 - h**2 + 6*h**2 + 0 + 3.\nAnswer: 11*h**2 - 333*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176871, -354069, -531267, -708465, -885663, -1062861?\nAnswer: -1240059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 + -71. Suppose -5*t + 857 = -q, k*t + 4*q - 466 = 62. What is the highest common divisor of t and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 9\/2*m**2 - 1\/3*m**3 - 4*m + 3. What is the units digit of a(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1\/5, -7, -1\/8, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2308 + 2310. Solve -2*j - w = -o, 2*w = w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from {e: 3, h: 1, o: 1, c: 6, t: 1, y: 6}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 8*h - 4*h - 15*h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.1697837 - 14.17. Round u to 5 dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -25. What is the greatest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 0*r - 232 - 31\/2*r**2. Let y(g) be the third derivative of -g**5\/20 - g**2. Determine y(l(u)).\nAnswer: -2883*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95 - -103. Let d be (m\/(-24))\/((-2)\/30) - -2. Solve 2*c - d - 3 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 223*b*q**3 + 31*b*q**2 - 203*b*q + 13*b - 10*q**5 + 2*q**4 + 55*q**3 - 2*q**2 - 15*q wrt q.\nAnswer: 1338*b - 600*q**2 + 48*q + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:06 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 790\/3 in 3, -0.07, -43?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8306677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -9*z**2 - 4*z - 3. What is i(-2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14200 and 3450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s. Let l(m) = m**2 + 5. Let o(x) be the second derivative of x**4\/6 + 6*x**2 + 8*x. Let u(q) = -12*l(q) + 5*o(q). Determine u(d(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 - 274 - (3 - 7 - -30)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and 0.121672?\nAnswer: 0.00243344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 + 71893*q**2\/3 + 1293731*q\/3 - 1365625\/3.\nAnswer: (q - 1)*(q + 19)*(q + 71875)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 299*n = 2023 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -325f8c (base 16) to base 8\nAnswer: -14457614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28927 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -3 - 1 - (1 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 + 92. Let a be -1 + 1 - (-12)\/8*p. Let c = 17 + a. Solve c*q = 2*s + 5 - 4, 4*s = 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*o - 2*y, -6*o + 3*y = -3*o - 27. Suppose -h - 7 = -o*b, 5*b + 11 = -5*h + b. Let p be (-20)\/6*h\/2. Let n(m) = m - 1. What is n(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m + 15. Let y be v(-4). Solve a = -y*a - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 5, j: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 2 - (4 + 2). Let b be (-1 + -3)*5\/g. Let r(z) = -b*z + z + z. What is r(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 454 divide 2045075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3095, -6191, -9287, -12383?\n\"Answer: -3096*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a3 (base 13) in base 15?\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6018*v**2 - 10642*v**2 + 5624*v**2 + (0*v - 2*v + v)*(-v - 4*v + 3*v) in the form n*v + t*v**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 90048 = -19*z. Suppose -7*c = -3*l - 5*c + 2414, 2*c + z = 4*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(504)\/sqrt(8) - sqrt(63)) + 4*sqrt(252))\/((sqrt(729) + (sqrt(729) - sqrt(729)*2 - sqrt(729)) + sqrt(729) + sqrt(729) - sqrt(900)*2)*4).\nAnswer: -2*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -740765 (base 8) to base 2\nAnswer: -111100000111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -182 - -2185\/12. Suppose 0 = -28*d + 27*d - 33. Let f = 33 + d. Which is smaller: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(6\/(-24) - 10\/(-8)). Suppose t = i - 6*i + 150. Solve -3*u - i = 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 11:18 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2)*(0*u**3 + 3*u**3 - u**3) + u**3 + 3 - 3 + 40*u**3 + 10043*u**2 - 10043*u**2 - 2*u + 2*u**3 + 2*u to n*u**3 + m*u + c*u**2 + g and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*o - 1020 + 2569 + 113*o.\nAnswer: -261*o + 1549","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3115547753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**2 + 20. Let f be (4\/(-6))\/(2\/(-6)). Let j(g) = 19*g + 1. What is f*j(w) - 18*y(w)?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6491513 to the power of 1\/2, to the nearest integer?\nAnswer: 2548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 2:55 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 3255?\nAnswer: 26040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 - -41. Let x(z) = z + 25. Is 4 a factor of x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 + 3*u**2 - 3*u**2 - 5*u**2 + u**2 + u**2 + (3 - 6 + 2)*(2 - 2 + u**2) + u**2 - 8*u**2 - 3*u**2 as v + z*u + t*u**2 and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/13))**(-3)*d**(-2\/7)*d**(-4\/7)\/d)**(1\/49))**(-44) assuming d is positive.\nAnswer: d**(5588\/4459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x - 10. Give f(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1369*x - 236. Let i be c(-4). What is the highest common divisor of i and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*g**3 + 169*g - 169*g + 204*g**3 + 995*g**3.\nAnswer: 1278*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-2) - (-1 - -3))*-3. Suppose -8*o + 9*o - 4*g - 47 = 0, 0 = h*o + 3*g - 126. What is the remainder when o is divided by 6*(-1 - 7\/(-2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14003 - -16089. What is the greatest common factor of 70 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 19, 4, -5, -1 in decreasing order.\nAnswer: 19, 4, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + -6. Let h = c - -35. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5042, 10091, 15140, 20189, 25238?\n\"Answer: 5049*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1007826 and -1007826 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-4)*(-10)\/(-3). Let y(a) = a**2 + 5*a - 12. Let p be y(-7). Suppose -q*l = -p*k + 240, -5*l = -4*k - l + 468. What are the prime factors of k?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*p**4 + 100224*p**3 + 9543964*p**2 + 62911944*p + 7269472 = 0.\nAnswer: -83, -7, -2\/17, 1564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) - (sqrt(13) + -2))*2 + -1)**2 + (-1 + sqrt(13) + 1)*-3)*-1*6*2.\nAnswer: -108 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-1200)*21*((-1296)\/(-1458))\/((-4)\/18).\nAnswer: 14\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2027246289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 85\/3 = 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008601948 to four decimal places.\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**2. Let n(p) = -p**3 + 4*p**2 + 5*p. Let t be n(5). Suppose t = -4*w - 0*w. Let k(u) = w*u + 3*u + u - 3*u. What is k(z(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20220*c = 20313*c - 17670. What is the smallest common multiple of c and 1285?\nAnswer: 48830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -2. Suppose -v*m + 9 = -6. Solve 0 = m*n + 4*b + 4, -3*n - 7 = 5*b + 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (26\/14 + (-2)\/(-14))*30. Let u be (2\/(-9))\/((-10)\/o). Let m = 5 + 0. Which is the third smallest value? (a) 2\/11 (b) m (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huyi when four letters picked without replacement from iyhuhhy?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 5*h = -5, 288*h + 24 = -m + 284*h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**2 - 3*s**2 + 2*s**2 + (-726 + 726 + 5*s)*(s - 3*s + 0*s).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 922 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((213900\/40)\/(-69))\/((-8)\/96*-15).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-23 - 1) + -3. Let l = -134\/5 - c. Put -0.3, l, -0.5 in decreasing order.\nAnswer: l, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -278837200 divided by 25?\nAnswer: -11153488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g - 3. Let o(f) = 16*f + 15. Let x(j) = 11*b(j) + 2*o(j). Let i be x(-6). Find the second derivative of -i*a**2 - a + a**2 + 3*a wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-12) + 2245\/30)\/1. Let u = 79 - n. Factor w**2 + 40 + 75*w - 30*w + u*w**2.\nAnswer: 5*(w + 1)*(w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 38493, -0.4 in increasing order.\nAnswer: -0.4, 0, 38493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g*g*g\/g**(-8\/9))\/g)*g*g*g\/(g\/(g\/(g*g*g*g\/g**(2\/21)))))**33 assuming g is positive.\nAnswer: g**(-2629\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-310)\/(-12) + ((-35)\/10 - -3) and 56\/51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 331?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 = -12. What is the lowest common multiple of (-6)\/3 - (0 + p) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04044387 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*v - 546 = 127*v + 129*v for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -600 + 16174\/27. Calculate the common denominator of c and 173\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 10*m - 12. Let o = -4 - -8. Suppose 65 = z + o*z + 4*j, -j - 13 = -z. What is the units digit of i(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 2)*(7 - 10 - 1)*(0*k + 3*k - 5*k) as p + c*k and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6316 rounded to one dp?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -396.196312 rounded to the nearest ten?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22, 55, 102, 157, 214, 267, 310?\n\"Answer: -j**3 + 13*j**2 + j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76662 - 998955\/13. Let w = -4754415\/26312 - x. Let t = -73885\/6072 - w. Find the common denominator of -91\/8 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tytyryerytrrtrty. Give prob of sequence ey.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 b, and 1 s when four letters picked without replacement from rbjessrd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 l when four letters picked without replacement from lxlwl?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(0 - 2) - 7. Let f(h) = -10*h - 37. Let w be f(j). What is the greatest common factor of 104 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34690 equal to 184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 9*k - 15. Let j be u(2). Suppose -j*r + 1300 = r. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 2*w + 27 = 17, 8*a - w + 16 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/(-77)*14*(-10)\/20?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -216300035*n**2. Let d(y) = y. Give d(r(l)).\nAnswer: -216300035*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 divided by -1?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 2*r**5\/5 + 13*r**4\/4 - 3*r**3 - 9*r + 49. What is the third derivative of o(c) wrt c?\nAnswer: 48*c + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1 - -286*(-95)\/(-2470)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2414*r - 2406. Let l be v(-1). What is the third biggest value in l, 2, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352918 is divided by 408.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, u: 7, f: 7}. What is prob of picking 2 u and 1 f?\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3043096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673 is divided by 114?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 227483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1301250 and 30750?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by 10146.\nAnswer: 8\/1691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44642045*m**2 + 1375*m - 11688 wrt m.\nAnswer: -89284090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**3 - 2*u**2 + 4*u + 3. Let f be w(-3). Suppose 0 = -n - 2*n - f. What are the prime factors of ((-2)\/(-3))\/((-2)\/n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 616 + 3?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8261.563 meters?\nAnswer: 8261563000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -308*(485\/(-23765))\/((-5)\/(-14))?\nAnswer: 88\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 - 154001*p\/4 - 693045\/2.\nAnswer: (p - 154010)*(p + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 l, and 1 k when three letters picked without replacement from {l: 2, k: 1, p: 1, d: 2, s: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 239 - 5499\/23. Let v = -13.9 + 14. Sort v, l, 5.\nAnswer: l, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from peepeeeeepepepeeee. Give prob of picking 1 p and 3 e.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 830.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4781 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1711, -1680, -1629, -1552, -1443, -1296?\nAnswer: -1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -992382, -992385, -992390, -992397?\n\"Answer: -u**2 - 992381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/n**5))\/n)**47\/(n**(-6\/7)\/n)**2 assuming n is positive.\nAnswer: n**(1013\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 15. Let p be l(16). Does 8 divide 1\/(p\/(-98)*-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 30, 31, 22, 3, -26?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 271 = 4*l - 313, 3*a - 5*l = 422. Let g = a + 70. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 divided by -26.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1100522 + -748702. What is d rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 477*p + 44. Let n(c) = -7078*c. Determine o(n(s)).\nAnswer: -3376206*s + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uffdxxxddxxxxyxyx. Give prob of picking 1 f, 1 x, and 1 y.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18275478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -6*q**5 - 4*q**4 + 6*q**3 + 4*q**2 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 21*p - 5. Suppose 4*n - 7 + 11 + 8 = 0. Let s(t) = -10*t + 3. Determine n*h(x) - 5*s(x).\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -4 + 17 + -12 + 1 + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 22 - 19 = 5*a - 5, -3*a - 2*u + 4 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103 + -95. Let r = 0.1 - -2.9. Let w = r - k. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 806905.83 and 1013.\nAnswer: 807918.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.7 + 33.3. Let i = s + -35. Let f = -6.79 - i. Round f to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(972).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -721, -2065, -4025, -6595, -9769, -13541, -17905, -22855?\n\"Answer: o**3 - 314*o**2 - 409*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 18*j**3 - 36*j**2 + 8*j + 48.\nAnswer: -2*(j - 1)*(j + 2)**2*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1)*10\/(-60)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 3762.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -593937 and -0.4.\nAnswer: -593937.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 306614*u - 613238. Give w(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**4 + 38*k**3 + 105*k**2 = 0.\nAnswer: -35, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10930.1 - -11721. Round n to the nearest ten.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110703.\nAnswer: 3, 36901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 12 - 5)*(0*i + 3*i - 4*i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 t when four letters picked without replacement from bbtbthhvbbhbbbbbbb.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -137 - -132.45. Let p = -3.6 - t. Let r = p - -0.2. Round r to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 109.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2. Let g(u) be the second derivative of -u**4\/4 - u**3\/6 - u**2\/2 - 47*u. Calculate 3*g(i) - 8*k(i).\nAnswer: -i**2 - 3*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 132 = 5*s - s, 3*p + 3*s = 111. Let y = p + -33. Suppose y*h + 3*h - 3*b - 399 = 0, -h = 3*b - 87. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -21136961*o**2. Let t(l) = -29*l**2. Give t(k(r)).\nAnswer: -12956362489150109*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4331914667 and -271?\nAnswer: 4331914396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/23, -1, -0.7, 0.2, -0.2 in ascending order.\nAnswer: -1, -0.7, -0.2, -2\/23, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r**3 - 5*r**2 - 27*r - 28. Is x(-6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 994441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (634\/5)\/(3\/(-15)). Let d = v + -548. Let c = 2012 + d. Round c to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30282?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by (-24)\/28 - 1110\/(-70).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**2 + 97329*u - 389350. Determine k(4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c - 2. Give y(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -5)\/(36\/63). Suppose 0 = -k*a + 14 + 21. Suppose -2*b = -a*b + 51. Calculate the remainder when 99 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 99671*a**2 - 2*a. Let r(s) = 2*s. Calculate r(c(v)).\nAnswer: 199342*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16981786 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4343 - 230?\nAnswer: 4113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s**3 - 3*s + 3. Let v(r) = 13*r**3 - 5*r + 5. Calculate 5*m(i) - 3*v(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015189713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-4)\/(-6)))\/(-1)*3\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3\/7 - 9*w**2 - 1515*w\/7 + 225 = 0. What is w?\nAnswer: -15, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 297151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 5cd?\nAnswer: 5c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 13*o + 8. Let a be c(-1). Let i = a + 119. What are the prime factors of i?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**2 + 3*l + l + l**3 - 2*l. Let y be w(3). Solve 2*t - 5*t + y = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 12*a + 24. Determine u(10).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 8\/795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-88) + -1 + 204\/33. Suppose -2*c + 51 - 16 = -b*w, -2*c - w + 17 = 0. Suppose 64*t = 69*t - c. Solve -3*h + 1 = -t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 1212*s**2 + 15*s + 2129. Let b(f) = -1205*f**2 + 10*f + 2129. Let u(q) = 3*b(q) - 2*x(q). What is the first derivative of u(p) wrt p?\nAnswer: -6*p**2 - 2382*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((36\/10)\/(120\/75))\/((-120)\/(-80))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*y - 2*y - 2*y)*(3*y + 4*y - 2*y) + (2*y**2 - y**2 + y**2)*(3 - 3 + 1) + 4*y - 4*y - y**2 as z*y**2 + a*y + c and give z.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 2*y - 10, 5*h + 4*y = 25 - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, f: 1, m: 2}. What is prob of picking 1 f and 1 h?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**3\/3 + 7*i**2 + 11*i. Let g be r(7). Solve g = 3*k + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -45881695*d*f + 135148118*f wrt d?\nAnswer: -45881695*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60051 is divided by 2859.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 237, -1, 15954, 4, 3 in increasing order.\nAnswer: -1, 3, 4, 237, 15954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 10*v - 37. Let m(u) = -2*u**2 + 11*u - 37. Let o(z) = 5*c(z) - 4*m(z). Let w be o(-16). Suppose -1835 = -12*r - w. Does 25 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1142*p + 1795*p - 883*p.\nAnswer: -230*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138 by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6\/11)*j**1)\/(j*j**1*j)**16*(j**(2\/3))**(-4\/3)*(j**(1\/4))**(-5\/6) assuming j is positive.\nAnswer: j**(-38525\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1020*j**3*u**3 - 2*j**3*u**2 - 112*j**3 + 2*j**2*u**6 - 3*j**2*u**2 - 4 wrt u?\nAnswer: -6120*j**3 + 240*j**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 403477 divided by -59\nAnswer: -403477\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-1035) - (-38)\/(-437)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -437342 not equal to -437343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 498, -2, -23, 2 in ascending order.\nAnswer: -23, -2, 2, 3, 498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000\/(-165) - (18 + -37)?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + sqrt(612) + 0 - sqrt(612))*4 + 3 + sqrt(612)*-1)**2 + ((sqrt(68)*1 + sqrt(68))*-3 - sqrt(68))\/(sqrt(256)*-2 + sqrt(256) - sqrt(256)).\nAnswer: 1735*sqrt(17)\/16 + 5517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = a + 2*y, 5*a - 15 - 2 = 4*y. Solve a*d - 1 = -11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 1\/735*i**7 + 0 + 0*i**3 - i**2 - 1\/210*i**5 + 0*i**4 + 0*i**6 + 0*i. Solve q(o) = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 12 = 0, -5*g + 4*g = -2*v - 1. Let r(d) = 4*d**3 - 2*d**3 - d**3 + 6*d**2 + 2 + 3*d - 4. What are the prime factors of r(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 92 (c) -0.179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 36*k + 98. Is 5 a factor of r(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 2430 - 578. List the prime factors of m.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*k + 200 = 0, 0*f - 3*f - k + 152 = 0. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273803653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3381956 and 16.\nAnswer: 13527824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -r + 35, 3*f - 78 = -5*r - 18. Suppose 2*a + 3*j - 28 = 0, 4*a = 5*a - 4*j + 8. Suppose 2*s + t = a, 3*s + 7 = 2*t + 5. Is s smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 17*m - 6. Give t(16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - 0. Let n = -6 - -6. What is the third biggest value in r, n, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20037378 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**4 - 11890*k**3 - 1276185*k**2 - 40943500*k - 311712500 = 0.\nAnswer: -2267, -50, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2160*k - 1089*k - 1089*k - 21*k**2)*((6 + 2 + 0)*(2 - 3 + 0) + 3 + 0 - 2).\nAnswer: 147*k**2 + 126*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2592)*-1 - (sqrt(2592)*1)**2*6)*-4.\nAnswer: -144*sqrt(2) + 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1786 less than or equal to -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -3. Let x = -0.06 - 4.94. Let z = x - -4. Which is the second biggest value? (a) -3 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19940 or -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-390)\/(-52)*((-29)\/3 - -1). Let p = l - -344. Let s = p + -164. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -13*m + 167. Let h(p) = -8 - 4 + 4*p - 2. Is 22 a factor of h(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-210)\/2140) + (-6)\/(-14). Solve 0 = 4*r + x*b - 27*b, 2*b = 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242498666 to the power of 1\/3, to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 103. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*5 - (-30 - -21). Let q be 16\/(-28)*x*(-1)\/2. Solve q - 8\/7*h + 2\/7*h**2 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19\/3)\/(244\/610*5\/(-6))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -81, -73, -51, -9, 59, 159, 297?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 0.47 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 295757040 and 8?\nAnswer: 295757040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31823\/11025 - 3\/1225. Let m = 127\/36 - f. Let i = -2181\/4912 - -2\/307. What is the common denominator of m and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/10, 10\/119.\nAnswer: 10\/119, 1\/10, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i + 39305 = -18*i. List the prime factors of i.\nAnswer: 7, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.8262 + 1.8262. What is the nearest to 0 in 3\/2, 16, 3, v?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52714348.\nAnswer: 2, 17, 739, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23616491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 162.5506 millilitres?\nAnswer: 0.1625506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 132*a = -82*a + 216*a + 121, 3*a = -3*u + 60 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 1:48 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223 - 281 + 732 - 228 + 7794*b.\nAnswer: 7794*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (540\/80)\/(162\/(-864))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3906.2 + -3619.99. What is p rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -46, -50, -54, -58?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6656662 to the nearest integer?\nAnswer: 2580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1246 divided by -58\nAnswer: -623\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 680.\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibi when three letters picked without replacement from dddbdblddbiidbd.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0, -64, 11, -2 in descending order.\nAnswer: 11, 0, -2, -4, -5, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/12 and 11\/16760016.\nAnswer: 16760016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 22*k - 5*k + 27*k + 34.\nAnswer: 44*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4301881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-9)*(-21)\/56*12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*k**2 + 33 - 18 - 7*k**2 + 46*k**3 wrt k.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -13*d + 11*d. Suppose -6*p - 18 = -d. What is the remainder when 60 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 3*q**2 + 0*q**3 + 0*q - 7\/8*q**4 + 0. Let t(w) = -w. Calculate t(s(a)).\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2058101.69 rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*p + 117 = 0, 2*p + 4 = -2. Let d be 12\/n - (-13)\/11. Which is the nearest to d? (a) -1\/10 (b) -0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*r + 3*h, -5*h + 14 + 1 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 529, 718, 905, 1090, 1273, 1454?\nAnswer: 1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 8*l**2 + 8*l - 5. Let r be z(7). Suppose r*x = c + 115, 3*x - 5*x - 236 = 2*c. Does 23 divide (-14)\/35 - c\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 515061 and 25393?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1378*i**4 + 0 - 524*i**4)*(i - 2*i - 2*i).\nAnswer: 5706*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1421\/(-35) + 64\/40. Is -39 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14655, 14634, 14605, 14574, 14547, 14530, 14529, 14550?\nAnswer: 14599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37080 by -8.\nAnswer: 4635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 1:23 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 2*i**2 - 4 - 15*i**2.\nAnswer: -16*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2cba3 (base 16) to base 7\nAnswer: 1362056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (3 + (-4 - (-21 + 15)) + 11).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 298 + -299. Let x be (3 - (1 + 0))\/2. What is the nearest to x in -5, f, -9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/8*(-4)\/5. Let h be (1\/3)\/(l\/24). Suppose 0 = -3*n + 3*v - 9, 1073*n - v - 5 = 1070*n. Solve o = 2*w - h, -4*o + 5*w = n + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 5*h**2 - 2*h - 1. What is j(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 2. Let o(s) = -4*s**3 - s**2 + s. Let l be o(1). Let x = l - g. Solve -q - x - 1 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.2. Let m(t) = t**3 - 3*t + 8*t**2 - t**2 + 8 - 2*t**3 - 4*t. Let w be m(6). Is w < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8.49132 and -113069614.\nAnswer: -113069622.49132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 327 and 7957.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -115, -0.004564 in ascending order.\nAnswer: -115, -0.004564, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 14. Let h = q - 4. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*w - 18178 + 4764, 5*w - p = 22320. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 179495583 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y + 50. Suppose 6*p = 4*p + y. Which is the smallest value? (a) p (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 600582, 597813, 590292, 575643, 551490?\n\"Answer: -396*c**3 + 3*c + 600975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**3\/3 + 13*x**2 + 8*x - 17. Let a be u(24). What is the greatest common divisor of a and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.4 - -4.4. Is -3 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 35*m + 199. Calculate f(0).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + 4*p**2 + 58928 - 14694 - 14747 - 14742 - 14745.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 6*p. Let m be c(6). Let f = -3 + 2. Let r = m - f. Calculate the smallest common multiple of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.44 + -2.44. What is the biggest value in -847, 3\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 90\/10776*(-2)\/5. Let s = -41751\/1796 + u. Let a = 5\/3 + 167\/6. Find the common denominator of s and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8982720, -8982719, -8982718?\nAnswer: -8982717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 3:33 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 464983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 - (-39 + 78) - (21 + -1 + 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -7*c**6\/120 + c**4\/6 + 11*c**2. What is the second derivative of v(m) wrt m?\nAnswer: -42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 5, 3, -2 in descending order.\nAnswer: 5, 3, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -y + 12, -5*y = -5*c + 11 + 4. Suppose 2*r + c = 1. Is -1 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -381.9 - -362. Round y to zero dps.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + g = 0. Suppose 8 + 5 = 2*s + 5*a, -5*a + 5 = g. Is ((-2)\/6)\/(s\/(-1524)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, 4, 1, 4\/9, -5, 1\/16.\nAnswer: -5, -3\/11, 1\/16, 4\/9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15904 - 3\nAnswer: 15901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6299*q + 6157 - 12318 + 6160 + 8207*q**2 wrt q?\nAnswer: 16414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61750958.\nAnswer: 2, 3109, 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-560)\/(-42) - 8)\/(12\/(-54)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 66 = -4*k + 5*a, 4 = a. Let c = -31 + 17. Let w = k - c. What is the greatest common divisor of w and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 33. Let j = -33 - i. Let r = j - -20.9. What is the second biggest value in r, -1\/5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*12110.\nAnswer: 84770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 375.4 to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 16) in base 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3346712?\nAnswer: 2, 418339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**5\/3 - 15*c**4\/8 + 2*c**3 - 9. Let w(g) be the third derivative of v(g). What is the units digit of w(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -40312.\nAnswer: -8062.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.05 - -6.6. Let s = k + -1.25. Let j = -1.1 - s. Which is the third smallest value? (a) 2\/7 (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-306)\/10 - (-26)\/(-65). Let w = k + 37. Solve 3*u = 3*c, -5*u = -c - 22 + w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 4*j - 817. Calculate the smallest common multiple of h(44) and 4.\nAnswer: 3772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 328 + -4266\/13. Which is the smallest value? (a) 0.19 (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*t - 59. Suppose 9*v - v - t = 0. Suppose -62 = v*g - 342. Calculate the remainder when g is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 7. Let z be h*(-3)\/(-6)*-2. Factor 2\/3*j**3 + 2\/3*j**4 + 0*j**z + 0 + 0*j.\nAnswer: 2*j**3*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 13*m**2 - m + 2. Let k be v(-13). What is the units digit of 942\/k - (2\/(-5))\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/7 + (-1023)\/(-21). Suppose -4*l + a = 5. Suppose -155 + l = -4*w. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**5\/4 - 65*f**4 + 105*f**3 + 2005*f**2\/2 - 425*f\/4 - 1875\/2 = 0.\nAnswer: -3, -1, 1, 5, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a415 (base 12) to base 8.\nAnswer: 425721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t**2 - 12*t + 30. Let w be v(2). What is the common denominator of w\/12*(26 - 3) and 21\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/753 and 79\/502.\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2010 (base 3) to base 6\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5733227, 5733226, 5733225, 5733224, 5733223?\n\"Answer: -h + 5733228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -826 - -1366. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239828.3 - -196039.\nAnswer: -43789.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6870579 + 13*p**3 + 11*p**3 - 6870579.\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -292 (base 15) to base 4.\nAnswer: -21023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14442957 or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6892 + 6692 = 337*b - 4277 + 2696 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 15) to base 16\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 5*k**2 - 7*k + 2. Let w be c(-6). Suppose -3*h - 6 = -0*h - 4*m, -2*m = h - w. Suppose 44 = g + h*y, 23 + 75 = 2*g - y. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*p - 379*p + 80*p + 157*p + 73*p + 14.\nAnswer: 6*p + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -36. Suppose i = -g + 2, o - 2 = 2*i + 5*g. Solve -2*y - i = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-520)\/208*3*4\/(-50). Factor 3\/5*f**3 + 0 - 3\/5*f**2 + n*f**4 - 3\/5*f.\nAnswer: 3*f*(f - 1)*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 1913?\nAnswer: -1915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18.99 (b) 1686 (c) 5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60 + 21*p**2 + 119 - 22*p**4 - 59 wrt p?\nAnswer: -528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26775)\/(-4032))\/(-85)*(-2)\/10.\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/((-9)\/(-14)) - -4. Suppose -w + 34 = j - y, -3*j = 5*w - 256. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9257706 to the power of 1\/2, to the nearest integer?\nAnswer: 3043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*0.1.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g**3*g)*g*((g*g**(3\/5)*g)\/g)\/g*g*g**1\/(g**(5\/3)\/g) assuming g is positive.\nAnswer: g**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/24*(33 - 27).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138931741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/2))**8*u**7\/u*u\/(u*u\/u**(-2)) assuming u is positive.\nAnswer: u**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90707\/11 + -8239. Let y = l + -54\/11. Find the common denominator of y and -53\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 121881025?\nAnswer: -1\/121881025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 591099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**3 + 359*n**4 - 223*n**4 - 195*n**4 + (-2*n**2 + 3 - 3)*(-2*n**2 - 4 + 4) - n**4 + n**2 - n**2 + 3*n**4 - 7*n**4 + 2*n**4.\nAnswer: -58*n**4 + 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 25, 3, -313, -14.\nAnswer: -313, -14, -1, 2, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 6 - s - 63*s**3 + 6 + 4 + 1 to p*s + k*s**3 + n + u*s**2 and give k.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1872, 1884, 1906, 1944, 2004, 2092, 2214, 2376?\nAnswer: 2584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8\/i**(-19))**(-19\/2) assuming i is positive.\nAnswer: i**(-513\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*z**2\/7 + 2098*z\/7 - 60.\nAnswer: 2*(z + 210)*(5*z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -175 + 175. Suppose 30 = -5*o - j. Let v(l) = 10*l - 5. Let s(i) = 19*i - 9. What is o*s(c) + 11*v(c)?\nAnswer: -4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4)*(-2)\/((-4)\/(-10)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3129 and -3.6?\nAnswer: 3132.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -23, -11, 19\/10 in increasing order.\nAnswer: -23, -11, 1\/3, 19\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.133892 to four decimal places.\nAnswer: 0.1339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14662, 29523, 44408, 59329, 74298, 89327?\nAnswer: 104428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/15 of a week?\nAnswer: 10752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - 12212014?\nAnswer: -12211442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 5849.\nAnswer: 1, 2, 5849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 771984 divided by 2.\nAnswer: 385992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*3 - 0)\/((-63)\/(-105)). Let s be (-4)\/(-10) - 2\/d. Suppose -u + 3*u - 16 = s. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 508 - 2376 = 0. Suppose -h = -4*d - 70. Suppose 0 = 8*t - 7*t - d. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + 3 + sqrt(1700) + sqrt(1700)*2) - -4*(sqrt(1700) + -2)*-4*2)**2 + -5.\nAnswer: -23460*sqrt(17) + 496056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 5*u**2 - 5*u**2 + 14*u**2.\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1500)\/175)\/((-4)\/(-42)). Let q = b - -103. Solve q*t + 35 = 6*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156800.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/21, 1173, 3, 0.221, 3\/4?\nAnswer: 0.221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-30))\/(2\/170). Let a be -10*(2 - m\/5). Let u be (-60)\/a*(-2)\/(-5). Is u less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h - h + 2*h - 3*h + 3*h + h + (0*h + 3*h - 4*h)*(1 - 3 + 0) + 2 - 2 + 2*h + (0*h + 2*h - 3*h)*(2 + 2 - 1) - 3 + 3 + 5*h as d + c*h and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/112 + ((-61)\/8)\/(-1) and 53\/264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-45)\/(-25) - (-1)\/5. Let q(y) = 2*y**2 + y + 2. List the prime factors of q(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 75 = -4*l - 43, -22*d - 88 = 0 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.052742 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44 - 13?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from uawgwaawuauwwwp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 45*m + 45. Let p(u) = 2*u - 3. Give -15*p(k) - x(k).\nAnswer: -75*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.18338.\nAnswer: -0.55014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 m, and 1 b when three letters picked without replacement from osooxoossabooaooom.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.32970704 rounded to 1 decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/((-1080)\/(-288)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 4 - (17 - 37)) + (1 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from kaaaaaakkk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 518916.8 kilograms?\nAnswer: 518916800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 951073232.\nAnswer: 2, 59442077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**2 - 5*f**2 - 4*f + 20*f**2.\nAnswer: 22*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llld when four letters picked without replacement from {l: 4, d: 4, j: 6}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 12:15 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 2205*n**2 + 33516*n + 479520.\nAnswer: -(n - 24)*(n + 9)*(n + 2220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*k**3 - k**3 - 3*k**3 + (3*k**2 - 2 + 2)*(-2*k + 1 - 1).\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 137*r - 4606. Determine o(60).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-6))\/(14\/(-21)). Suppose -362 = -2*h - 62. Suppose 12*p = h + 30. Solve l + o*l - p = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d**3 - 6*d**2 + 11*d + 11. Let u be s(5). Let t = 554 - 972. Let g = t - u. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + t**2 + t + 1. Let n = 7 + -8. Let i(h) = -6*h**3 + 5*h**2 + 4*h. Let f(o) = n*i(o) + 5*s(o). Let z = 2 + -2. What is f(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i. Let l(j) = 2*j - 5. Let q(w) = 40*w - 29. Let f(p) = -4*l(p) + q(p). Calculate f(b(m)).\nAnswer: 64*m - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 56699 and 0.4.\nAnswer: 56699.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3550 - -3549.76. What is the second smallest value in -5, x, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.06, -14, 0.5, -309?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.052? (a) 1 (b) 0.3 (c) 5 (d) 4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111245.9999948073 - 111246. What is v rounded to 7 dps?\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f + 19. Calculate the remainder when 38 is divided by d(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222 - 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*b - 5 = -0*b, 3*b - 12 = 0. What is the biggest value in -1\/5, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/4)*y*y*y**(-2\/9)*(y\/((y*y*y**(1\/7))\/y))\/(y\/y**(2\/5)) assuming y is positive.\nAnswer: y**(2249\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1 - -0.307.\nAnswer: 1.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 6\/22227509 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 2*v**2 + 6*v + 2. Suppose -1 - 2 = -s. Suppose -3*y - 3 = -s*i, y = 2*i + 3 - 1. Calculate x(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 63315?\nAnswer: -696465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/11730 and 121\/15015090.\nAnswer: 255256530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1253 from -755.\nAnswer: -2008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 85\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 4*i + f, 451*f = 149*i + 455*f + 184 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 + -104. Let t be 9\/6*(-28)\/(-6). Let z = t - 8. What is the smallest value in z, -5\/2, i?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 988672.7 decades to millennia.\nAnswer: 9886.727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 534289211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*s - 32. Let h = s + 27. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112495 and 20385.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 32.517 (c) -9\/2 (d) 2 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + -1)*(-21)\/(-35). Which is the third smallest value? (a) -18 (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -31) + -32 - ((0 - 3) + -13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*y - 56, -2*p + 200 = -3*y + 164. What is the highest common factor of p and 4008?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194053900 to the power of 1\/3, to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**3 - 12*y**2 - 7*y. Let m(s) = -5*s**3 - 12*s**2 - 8*s. Let i(q) = 3*m(q) - 4*r(q). Let g be i(-8). Is (-4)\/12 + g\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.452414 + 1.541456. Let v = -69.99643 - x. Let t = v - -92. Round t to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/6))**(-22)\/((w*w\/(w\/(w\/(w\/(w*w**(5\/4)*w)))))\/(w**0\/w*w)) assuming w is positive.\nAnswer: w**(-271\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two ninths of a hour in seconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -41\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**3 - 1178220*y**2 + 7069236*y - 9425616 = 0.\nAnswer: 2, 4, 392734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3 + 1 - 2*t**2 - t - t**3 + 3*t. Suppose 0 = 2*a + 2*o - 16, 4*a - 3*o - o = -8. Let v be d(a). What is v rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/2084 and -65\/4?\nAnswer: 2084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 181062\/(-20124) - (-6 - 3). Is i < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -21 (b) 0.1 (c) -2 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/12)\/((-15)\/(-2)). Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**4\/6 - p**3\/3 + p**2 + p. Let h(y) = -2*y**2 + 3*y - 3. Let g(u) = -4*h(u) - 6*w(u). Let d(l) = -2*l**2. What is d(g(x))?\nAnswer: -32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 4 + (-1 + 3 - 3)*(0 - 2 + 1) - 2 + 4 - 4 + 4 + 6 + 2)*((-2 + 2 + 3)*(2*f + 4*f - 4*f) - 5 + f + 5) as h + m*f and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.2 (c) -1094 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -157*r**2 - 3 - 22*r**4 - 23*r**4 - 29*r**4 + 118*r**4 - 2*r - 27*r**4 as w + u*r + f*r**2 + b*r**3 + j*r**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -56576413 minus -0.05?\nAnswer: -56576412.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(4\/15)*b)**(-38)*((b\/(b*b**(-2)))\/b)\/(b\/((((b*b**(-15\/8)\/b*b)\/b)\/b)\/b)*b) assuming b is positive.\nAnswer: b**(-8489\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 9:33 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 5130\/189 + (-2)\/14.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 3 - 10) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(-1*sqrt(10)) - (sqrt(2) + (sqrt(4)\/(sqrt(6)\/sqrt(3)))**2).\nAnswer: -2*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(44\/(-3)))\/((-846)\/2256)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 21084572.8 to the nearest one thousand.\nAnswer: 21085000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2 - 7*g**2 - g**2 - 5*g**2 - 3*g + 8*g**2. Let m be w(1). Round m to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-2)\/(-5) - (-590)\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 6945*d + 167260. Calculate h(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*o**2 + 51*o**2 + 44*o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i = 12*i + 5*f + 1, -2*i - f + 7 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 35462.\nAnswer: 30\/17731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*m**6 + m**6 - 42*m**2 + 5*m**6 - 9*m**6 wrt m?\nAnswer: -2400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -19\/4, 3, -1\/7, -4\/5, 1\/8?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 459985494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-3) - 2\/3. Suppose 2*z + 18 = 4*z - 5*w, 4*w = -u*z + 8. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1507*n + 637*n - 140*n**2 - 247*n**2 + 481*n**2 + 1778*n**2 wrt n.\nAnswer: 3744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 50097*y - 1202904.\nAnswer: (y - 24)*(y + 50121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(-4\/9)*f*f)\/f)\/f)\/f**12)**(25\/2) assuming f is positive.\nAnswer: f**(-2575\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29745748.24 rounded to the nearest 100000?\nAnswer: 29700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2682 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3553320 is divided by 177666?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6 + y - 6. Suppose 0 = -5*s + 2*s. Let i be r(s). Solve -l - 4*l + 25 = i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, -0.3, 14, 0.06, 6\/17?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50800)\/300)\/127*(-90)\/84?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(153)*3 - sqrt(17)).\nAnswer: 5 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -152 + 147.3. Is y at least as big as -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -6*j - 4, 5*y = 3*j + 79 - 32. Solve 130*r + d = 129*r - 4, 0 = r + 4*d + y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h + 3*n - 45 = 0, -185 = -5*h + 5*n. Suppose -h*q + 35 = -32*q. Which is the closest to 0? (a) 0.1 (b) q (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1. Let d(r) be the second derivative of -14*r**3 - 27*r**2 + 10*r. Let l(w) = d(w) + 2*q(w). What is the derivative of l(j) wrt j?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5729709, 5729706, 5729703, 5729700, 5729697?\nAnswer: 5729694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 7 - (-23 + 28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 118 = -3*c + 63, -p + 65 = c. Suppose -3*t - c = -4*t. Calculate the highest common factor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73040854 to the power of 1\/2, to the nearest integer?\nAnswer: 8546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**7\/70 + 15*t**6 - 599*t**5\/20 + 3394*t**2. Find g, given that x(g) = 0.\nAnswer: 0, 1, 599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (15\/(-20) + 1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**2 + d - 5. Let h(o) = -3*o**2 + o - 4. Suppose 0 = 2*y + 17 - 7. Calculate y*m(x) + 6*h(x).\nAnswer: 2*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3066.\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7112, -7973, -8850, -9743?\n\"Answer: -8*w**2 - 837*w - 6267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 222678, 222714, 222750, 222786, 222822?\n\"Answer: 36*r + 222642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (2 + sqrt(117))*1)**2 - ((sqrt(117) - 4*(-1 + sqrt(117))) + (-5*-2*sqrt(117) - sqrt(117)))**2) + -2.\nAnswer: -4088 - 114*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 9*(-2)\/(-6) + 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwv when three letters picked without replacement from vvvwwvwxvvvvxvwwvvw?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -51, -3, 0.4, -20.\nAnswer: -51, -20, -5, -3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3062790083162 + -3062759613845.99893. Let z = j + -30469188. Let t = z + -128. Round t to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417607 is divided by 11234.\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 836\/13 at most 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14872 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*n - 6*f, 0 = -4*n - 8*f + 12. Solve -o = -4*z + n - 22, -4*z = o + 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixddrrxdvttirid. What is prob of sequence rdr?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/23 (b) -1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 12. Calculate the remainder when 18 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffsfnrfbkff. Give prob of sequence nfr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551865310?\nAnswer: 2, 5, 55186531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17004)\/763 - (-192)\/84?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -420*h**2 + 11 - 405*h**2 - 408*h**2 + 10 - h**3 + 1246*h**2 as n*h**2 + a*h + o*h**3 + i and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 1. Let i(q) be the second derivative of q**4\/2 + 7*q**3\/6 - 2*q**2 + 31*q. Determine i(m) - 4*k(m).\nAnswer: 6*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-150)\/(-9) - (-6)\/(-9). Suppose 0 = 2*m - 4*m - 12. Let h be 476\/6 - m\/9. What is the greatest common divisor of w and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, a: 9}. Give prob of sequence gg.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**2 - 2*g - 13. Let i(m) = -m**2 - m + 1. Let h(n) = 2*i(n) - r(n). Differentiate h(s) wrt s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 297 and 396?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**2\/3 + 1952*h\/3 - 31744\/3 = 0?\nAnswer: -992, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**5\/20 + u**4\/4 + u**3\/2 + 581*u. Suppose 1 + 7 = -4*s. What is l(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1698, -1697, -1702, -1719, -1754, -1813, -1902, -2027?\nAnswer: -2194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, b: 2, w: 4, t: 5}. Give prob of picking 1 t, 1 b, and 1 v.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -54, -82, -128, -198?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r*r**(-17\/2))*r**(2\/25) assuming r is positive.\nAnswer: r**(379\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20\/3? (a) -142 (b) 11 (c) -38 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2 - 51*l + 227. Calculate o(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(0\/(-67))\/((-2)\/(2\/(-2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*o + 166 - 10, 0 = 4*g - 3*o - 322. Is g a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3693.667 litres in millilitres?\nAnswer: 3693667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzn when three letters picked without replacement from nzznnznnnznnnnnznnnn.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 11:24 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*p - 66 = 0, -2*w + 4*w - 44 = -2*p. Suppose w = 5*j - 2*x, 0 = j + 3*x + x. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-100)\/(-30))\/((-2)\/(-57)). Let f = y + -12. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or -462.3?\nAnswer: -462.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28735392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 115536653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102\/180 + 26\/(-65).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 10*i**5 + 286*i**4 - 430*i**3 - 286*i**2 + 420*i = 0.\nAnswer: -30, -1, 0, 1, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 p, and 2 u when four letters picked without replacement from {u: 2, b: 3, a: 1, p: 1, j: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 182254 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 62*s**3 + 253*s**2 - 584*s - 2406. Give m(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200421 and 5859?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 550 and 400?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4052 (base 6) to base 14\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 252951*c + 18465418. What is i(-73)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 + 773\nAnswer: 773.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 8:55 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*w, 75*l + 10 = 73*l + 4*w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.76, -29449, -1, -0.1, 0.5 in descending order.\nAnswer: 0.76, 0.5, -0.1, -1, -29449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - 4*i + i**3 + 0*i**3)*(-245 + i + 245).\nAnswer: -i**4 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 2, 14, -1\/5, 91?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c**2 - c**4 - 2*c**4 + 3399*c**3 - 3397*c**3 in the form z*c**2 + i + s*c**4 + j*c**3 + b*c and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 - 3*a**2 - 3*a**3 + (0*a**3 - 4*a**3 + 3*a**3)*(0 + 3 - 5) - a**3 - 4*a**3 + 2*a**3 + 67*a**3 - 36*a**3 + 54*a**3.\nAnswer: 81*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 + -0.4. Which is the closest to 0.2? (a) s (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 118*c + 26. Let d(y) = 18*y + 4. Let j(z) = -13*d(z) + 2*x(z). Let u(i) = -16*i**2 - 2*i - 51. Give j(u(o)).\nAnswer: -32*o**2 - 4*o - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9710, -9902, -10064, -10184, -10250, -10250, -10172?\nAnswer: -10004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1106, 1, -4, -0.06, 2\/9, 38?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17993 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7246 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 23994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 1, q: 3}. What is prob of picking 1 u and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 - (1 - 3 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjhjjjhjjjjhjhjjj. What is prob of sequence hh?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2 - 28. Suppose 0*d + s = 2*d. What is the second derivative of -d*u**4 + 21 + 2*u - 21 wrt u?\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2510)\/(-1506)*((-6)\/5)\/(-2). Let r = -156 - -466\/3. Which is the nearest to x? (a) 1\/3 (b) r (c) -4\/5 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64.5 + -63.4. Which is the closest to 0.4? (a) 0.4 (b) 0.3 (c) -3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -704*t**2 + 3370488*t - 3370488*t + 2.\nAnswer: -704*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7))**(10\/7)*((((y\/y**(-1\/3))\/y)\/y)\/y*y*y)**15 assuming y is positive.\nAnswer: y**(225\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*w**4\/5 + 1221*w**3\/5 - 1569*w**2\/5 + 42*w = 0 for w.\nAnswer: -10, 0, 7\/46, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3143 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.6, 76\/17, -5\/16?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 455 or 479?\nAnswer: 479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*g = -23, 5*l - 26 = 4*g + 5. Let f(s) be the first derivative of 1 + 2*s**l + 3\/4*s**4 + 3\/2*s**2 + 0*s. Suppose f(a) = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -4, -6, -10, -16?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 52?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 687959870?\nAnswer: 2, 5, 13, 37, 157, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2. Suppose h = 8*c - 3*c + 2*g - 10, 3*c + 2*g - 10 = 0. Let s be 2 - ((-20)\/(-9) + c). Sort -1, 1, s in decreasing order.\nAnswer: 1, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*k + 95*k - 6 = -91*k - 2*l, 2*l + 12 = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -33.96. Let r = -1.039968 + z. What is r rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136278*l**4*s - 3*l**2*s - 36*l + 237*s - 18 wrt l?\nAnswer: 1635336*l**2*s - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13316\/3 - -4439. What is the smallest value in -1.9, -1\/2, h, -0.3, -0.2?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6 - -19 - (23 + 4 + -29) - 2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u + 2*u. Suppose -y + q + 4 = u, -2*y - 4*q = 0. Solve y - 6 = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*((-3 + 0 + sqrt(98) - -6*(0 + sqrt(98) + sqrt(98))) + (sqrt(98) - -5*2*sqrt(98)) + 1))**2.\nAnswer: -268800*sqrt(2) + 22580800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*f**3 - 208*f**3 - 291*f**3 + 780*f**3.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10240 + 2?\nAnswer: 10242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -54463, -0.063, -1\/6, 3 in descending order.\nAnswer: 3, 0.3, -0.063, -1\/6, -54463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -13*f + 6, 40*b = 19*b + 24*b - f + 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/81*27\/(-3). Suppose 2*d + 291 = 5*r + 6*d, -3*d + 122 = z*r. What is the greatest common factor of r and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 32?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 127*a**4\/24 + 682*a**2. Let s(t) = 3*t**2. Give o(s(j)).\nAnswer: 381*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 641 + 647 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 14*y + 32 = 0. Let d(z) be the first derivative of -y*z**2 + 2*z + 4\/3*z**3 - 3 - 1\/4*z**4. Determine d(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzzbzzbubzzzunznncnn. What is prob of picking 1 u and 1 p?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072924303 rounded to 4 dps?\nAnswer: -0.0729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 16 = 668*t - 663*t, -2*d + 37 = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, x: 2, s: 1, w: 3, m: 2, t: 3}. What is prob of sequence ttsm?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*x**2 - 34*x**2 - 209*x**2 + 61*x**2.\nAnswer: -307*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.6 (b) 3.6 (c) 1\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 823383 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 676868 - 4?\nAnswer: 676864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107667 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 39, 31, 9, -33, -101?\n\"Answer: -v**3 - v**2 + 2*v + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168201.0603 seconds to weeks.\nAnswer: 0.27811021875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-35) + (-4)\/(-14). Suppose -3*z + 34 + 80 = r. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149978743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/8*n**2 + 0 - 65\/8*n = 0. What is n?\nAnswer: -65, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*y + 4595 + 459. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -95 + 95 - 49*p + 12*p as m*p + u and give m.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by -3.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7053 - 6997. What is the greatest common factor of 2032 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 110*t - 481. Determine m(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - f + 30 = 4*s, 4*s - 4*f = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -b + 20, -5*b - 69*t + 124 = -67*t. Solve 0 = 3*i - 24 + b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-44 - -57 - (8 + 1)) + 9 + 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -2. Let f = z + -0.5. Let m = -0.1 + f. Which is the second smallest value? (a) 0.5 (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1044, -3, 1.\nAnswer: -1044, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -2*i - 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 5*t**2 - 9*t - 4. Let m be d(-6). Suppose -148 = -18*l + m*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y. Let s(u) = -6*u + 4. Let i be s(8). Let p = 46 + i. Suppose -2*k = p*k - 4. Let h(b) = b - 1. What is k*w(l) + 2*h(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -680 - -19717\/29. Which is the second smallest value? (a) 4 (b) -0.1 (c) u (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3*h + 26, 4*d + 5*h + 37 = -11. Let j be d*(0 + 12\/14). Which is the second biggest value? (a) -0.3 (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2519 - 20*n - 30*n - 2491 to the form h*n + p and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 15 = -5*x, 28 = 2*x + x - 5*z. Calculate the lowest common multiple of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 7)\/1 + (21 - 2). Suppose -5*p + 166 = -o. What is the highest common divisor of 28 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 1, s: 3, n: 1, a: 1}. What is prob of sequence nss?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 43311639, 86623277, 129934915, 173246553?\n\"Answer: 43311638*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y - 5*b - 54, -5*y - 5*b = -100. Solve 5*v = 3*r + 14, -r + y = -3*v + 8*v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/17 - 424*o**4\/17 - 1286*o**3\/17 - 860*o**2\/17 = 0.\nAnswer: -2, -1, 0, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.148 times 0.5\nAnswer: -0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 25*w**2 - 25*w + 25. What is the hundreds digit of o(23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (3 + -5)) + 13 + 1 - -1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17114883 and -1?\nAnswer: 17114882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1907, 1895, 1863, 1805, 1715, 1587, 1415, 1193?\nAnswer: 915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 equal to 379\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 - 2*k**4 + 2*k**4)*(k - k - k)*(4 - 4 + 2).\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -95, -181, -291, -419, -559?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27952, -27949, -27946, -27943?\n\"Answer: 3*c - 27955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72999?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*i = -120*i + 710. Calculate the remainder when i is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.3687 - -995926.\nAnswer: 995910.6313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 391734.\nAnswer: 391734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, w: 7, d: 1, a: 3, l: 4, z: 1}. What is prob of picking 1 w and 1 z?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -15*v - 100. Let o(d) = -7*d - 50. Determine -13*o(u) + 6*x(u).\nAnswer: u + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68625 smaller than 68624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23547 - 23547 + 243*r**2)*(-r + 0*r + 0*r)*(-r + 6*r - 3*r).\nAnswer: -486*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**2 + 3*x - 3. Does 11 divide d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21236 or -21233?\nAnswer: -21233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 11*a - 7. Let g(p) = -5*p + 3. Let i(c) = 7*g(c) + 3*u(c). Let f(q) = 140*q**2. Calculate f(i(t)).\nAnswer: 560*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/50)\/((-54)\/180))\/((-182)\/5460)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3642*v + 4*v**5 + 32*v**4 - 1853*v - 16*v**2 - 1869*v - 19*v**3 + 79*v**3.\nAnswer: 4*v*(v - 1)*(v + 2)**2*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5433382 + 10033382. Round n to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by -7?\nAnswer: -120\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 184*j**4 - 10*j**3 - 467*j**2 - 127156421 wrt j?\nAnswer: 736*j**3 - 30*j**2 - 934*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713987879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -235 + 237. Which is the nearest to 0.2? (a) -8 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6047249 and 338?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 249 + 323. Calculate the greatest common divisor of y and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -543 + 15748\/29. Let p = -659 + 658. Is n smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2370, 3, -21.7?\nAnswer: -21.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 3 - 4 - 1 - x as q + l*x and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3*u + 2*q - 658 = 0, -u + 4*q + 238 = 0. What are the prime factors of u?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17496 and 58584.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2*y\/(y*y**0*y*y)*y*y**0*y*y*y**(-3\/7)*((y*y**(1\/6)*y)**20)**3 assuming y is positive.\nAnswer: y**(928\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 210 = 3*k, -2*i + 0*i + 63 = k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-53)\/((-3)\/(2 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 1527 (c) -2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -58, -6, 78, 200, 366, 582, 854?\nAnswer: 1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b + 3*b - 36. Suppose -b*u + 21 = -u. Differentiate 2 + 7*r**4 + u*r**4 + 2*r**4 + 12 wrt r.\nAnswer: 64*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -31, -7, 5, -3, 304 in descending order.\nAnswer: 304, 5, -3, -7, -26, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 286029 - b**2 - 286029. Let a(h) = 2*h. Let y(f) = 4*f. Let k(p) = 5*a(p) - 3*y(p). Calculate c(k(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(1\/10)\/s*s*s)\/(((s\/(s*s\/(s**(5\/8)\/s)))\/s)\/s))\/((((s\/s**(-6))\/s)\/s*s)\/s*s*s)**(-25))**(-7) assuming s is positive.\nAnswer: s**(-50533\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-253 + 435 - 456)*(0 + 0 + c)*(-1 + 4 + 0) to the form o*c + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*1 + sqrt(99))*3 + sqrt(99))\/((sqrt(216)\/sqrt(4))\/sqrt(6)) + -5.\nAnswer: -5 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1757 and 24509397.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 less than 353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.6 and -258532639.94995?\nAnswer: 258532642.54995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 5*y + 3. Calculate o(-13).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1839 + 1817.34. Let h = k + 22. Round h to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*v + 4 = 0, -5*t + v + 13 = 2. Suppose 0*o = -t*o + 795. Suppose 8*a - 3*a - o = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4670*a**3*p**3 - 41*a**3*p + 5*a**2*p**2 + a**2*p + 38*a**2 + 1 wrt p?\nAnswer: 28020*a**3*p + 10*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*k**2 + 3 + 3*k - 6*k**3 + 4*k**3 + 2*k**3 - 5 + k**3 to l + i*k + g*k**3 + c*k**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3\/3 - 292*o**2\/3 - 587*o\/3 - 98 = 0. Calculate o.\nAnswer: -1, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + 6 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -33, -1, -855.417 in increasing order.\nAnswer: -855.417, -33, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009320747 to 4 decimal places.\nAnswer: 0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65349125 rounded to two decimal places?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_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: Let o be 19 + 1730\/(-90) + 1668598\/(-9). What is o rounded to the nearest one thousand?\nAnswer: -185000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 - 3*v**2 - 5*v - 8. Let n be x(-5). Let r = 528 + n. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/373179 and -34\/19778487?\nAnswer: 19778487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1972, 1965, 1958?\n\"Answer: -7*v + 1979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 4*g - 3. Let y be r(6). Let o be 46\/10 - y\/15. Is ((-251)\/3)\/(o\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2 (b) -0.4 (c) -0.19 (d) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 divided by 3?\nAnswer: -89\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023960455 to 4 decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -25*f**2 - 2*f - 1. Let r = -14340 + 14339. Give g(r).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**1*h))**(-35) assuming h is positive.\nAnswer: h**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 7*b - 56 = 0. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 11:42 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 23 = -2*o, 0 = 5*a - 65*o + 66*o - 39 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-5 + -3*-1*sqrt(288) + -4)**2 + -5).\nAnswer: -5336 + 1296*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 8 = -3*c - 0*c, 4*a + 8 = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 155.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 16240400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -306*o + 291*o + 7*o**2 + 5*o**2 in the form n*o + r*o**2 + s and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z. Let r(o) be the second derivative of -o**5\/60 + o**3 - 9*o. Let t(c) be the second derivative of r(c). Calculate w(t(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w. Let b be u(-3). Suppose -2*a - b = 3. Are a and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -664 - -363. Let j = o - -302. Which is the second smallest value? (a) 0.04 (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136 + -135.9. What is the smallest value in 2\/11, 0.5, -33, p?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/194 and -67\/956296.\nAnswer: 92760712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.23 - 0.07. Let y = -4.3 - s. Let w = -34\/5 + 32\/5. What is the nearest to w in y, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 191223959*q**4 + 329114277*q wrt q.\nAnswer: 2294687508*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-5) + (-435)\/25. Let k = 18 + b. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 3*d = -75, 2*g + 133*d + 45 = 136*d. Let u(a) = -27*a - 416. Calculate u(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -3 (c) 1\/3 (d) 1280\/23 (e) 0.4 (f) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -27815, 2?\nAnswer: -27815","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i + i + 4*i**2 - 4*i. Let l be w(-1). Suppose m + f - 44 = 0, l*m + 2*f = 3*f + 140. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10*(26\/4)\/13. Sort 3, -1, a in descending order.\nAnswer: a, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/15064 and -9\/9415?\nAnswer: 75320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 20 = -5*i - 4*v, -4*i - 4*v - 20 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -322*v**3 + 77*v. Let x(k) = -17*k**3 + 4*k. Suppose -4*m + 2*n = -306, 4*m + 17*n - 311 = 14*n. Give m*x(g) - 4*y(g).\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**8\/560 + r**6\/120 + r**3\/3 - 3*r. Let k(i) be the second derivative of b(i). What is the third derivative of k(d) wrt d?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**3 - 7*u - 5*u - u**3 + 21*u**2 + 3*u - 3*u**3. Is f(19) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18688057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 4:43 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/(-275))\/((-4)\/(-10)). Let s(u) = -u**3 - 4*u**2 + u + 1. Let f be s(-4). Let w = -9 + 10. What is the closest to w in q, -0.3, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 5*k**2 + 7*k + 3. Let i be w(6). Let s be (-1)\/((-19)\/i - -2). Let p = s - -4. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-2)\/(-2) + 1. Find the third derivative of v**5 - 2*v**5 - v**5 + 3*v**t wrt v.\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e0 + 591?\nAnswer: 3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 7. Let v = 34 - u. Let b be (-2 + 13)\/(1*(1 - 0)). Calculate the highest common divisor of b and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = -n, 3*n + 12 = l - 6*l. Let d be 0\/n + (-4)\/(-6). Is 2 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - -1) + (-1 - -1 - -40) + -10\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*q - 47 = 0, -5*q + 2 = n + 25. Let j = 19 + n. Let x be 5\/(-20) - (-117)\/20. Is x greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 115, 169, 227?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + (sqrt(21)\/(sqrt(6)\/sqrt(2)) - (sqrt(252) + 1))**2).\nAnswer: 60*sqrt(7) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2810 and 36811?\nAnswer: 368110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277581*j - 277520*j = -2928 for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by 2141\nAnswer: 60\/2141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b - g - 3 = 0, 2*b - 2*g = 6. Suppose -4*t - 61 = 5*l, -t + b*t = -5*l - 41. Let i(d) = d**3 + 9*d**2 + d + 9. Give i(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/7*2\/((-7 - 16) + 2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, k: 3, r: 1}. What is prob of picking 1 r and 3 t?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-598)*69*1\/(-3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000045511 rounded to 7 decimal places?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**2 - 56*h + 23. Let p be n(-14). Sort -2, p, 5, 3.\nAnswer: -2, 3, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 13. Suppose -5*o = 2*k - c*k - 58, -4 = -k. What is the units digit of 10\/(-35) - (-88)\/o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a millimeter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -86272*v - 8. Suppose 0 = 8*i - 15*i + 77. Let f be q(i). Round f to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-20) - (-3)\/5. Suppose r = -5*u - 29. Let q be ((-3)\/(-2))\/(u\/(-6)). Sort 0, -1\/4, q in decreasing order.\nAnswer: q, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*d - 4. Suppose -c - 549 = -d*c. What are the prime factors of c?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d - -3?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1969 or 1393?\nAnswer: 1393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**3 + 3*j**3 - j**4 - 5*j**3 + 4*j**3 - 5*j**2 as k + m*j**4 + h*j**2 + f*j**3 + p*j and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5202755 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39.4 - -38. Let x = v + 3.1. What is x rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3876 and 18?\nAnswer: 11628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 16. Suppose 7*h - w = 5*h + 15, 0 = g*h - 2*w - 20. Suppose 2*x - 150 = -x - n, -h*n + 162 = 3*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 0*o - 2\/3*o**3 + 0*o**2 + 5. Let i(y) = 6*y. Determine i(z(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1112*r + 73060 = -293*r for r.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-15)*20\/4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (36 + -36 + (1 - 3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202102 + 103111?\nAnswer: 311213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1448005116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 5, a: 1, n: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**3 + 2*o**2 + 8*o + 5. Let k(y) = -y**3 + y**2 + y + 1. Let j(r) = -b(r) + 5*k(r). Let z = 6 + -4. Give j(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4599433 hours to milliseconds.\nAnswer: 1655795.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**2 - 1 + 0*u + 2\/3*u**3. Is 6 a factor of q(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 12:27 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 415 + -170. Suppose -4*t - t - 5*s + z = 0, 0 = -5*t + 2*s + 259. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hemh when four letters picked without replacement from memheeeemheeemmeeeee.\nAnswer: 13\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2231?\nAnswer: 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/18984 and -71\/27894.\nAnswer: 88256616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62645 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from nacaammncaaafcmnoa.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 521833\/12 + -43496. Let r be 0 + 1358\/2*12. Let n = 179307\/22 - r. Calculate the common denominator of h and n.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + -1334403423?\nAnswer: -1334403403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from {x: 5, j: 1, u: 1, m: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - k + 13 = 0, -l + 0*k - 8 = 4*k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1793340 by 486.\nAnswer: -3690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.37 - -0.13. Let g = j + 1.5. Which is the smallest value? (a) -0.2 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 81921\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2\/3 + 77*t\/3 - 17680 = 0. Calculate t.\nAnswer: -272, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**3 - 5 + 3*o**3 + 2*o**3 - 3*o**2 + 1 + 3*o. Suppose -2*p + 3 = -2*u + u, 2*u - 5*p + 9 = 0. Let z be x(u). Solve 4*i + z + 15 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 860 and 235210?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4\/3 - 2506*k**3\/3 - 834*k**2 + 2506*k\/3 + 2504\/3 = 0 for k.\nAnswer: -1252, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*s + 83 + 69 = -74. Is s less than -26\/183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 166\/15999615?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3394*h + 811 + 5*h**2 + 3395*h + 3395*h - 10184*h - 814.\nAnswer: 5*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1529879, 3059765, 4589651, 6119537?\n\"Answer: 1529886*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3927 - 208. Let r = 275 + h. What is r rounded to the nearest one hundred?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, t: 2}. Give prob of picking 2 t and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 12*n + 8. Let f be g(-11). Suppose -7*x = -105 - 14. Suppose 1 = -3*i + r - x, 0 = -5*r. Is f not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**3\/6 + 2*k + 662. Suppose x = -2*a + 9, -2*a = a - 3*x - 27. What is g(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -492.14*5.\nAnswer: -2460.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-18) + (-70)\/(-90) - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 + 2597*j + 0*j**3 + 11 - 2*j**3 - 2596*j to z*j + i*j**3 + p*j**2 + w and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 525.08 less than 0.23494?\nAnswer: -524.84506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4*-34221261\nAnswer: -136885044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/(-7))\/((-6)\/30). Let g(t) be the second derivative of 3*t + 0 - 1\/6*t**3 + 0*t**2. Calculate g(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 12, -l = -7*j + 4*j - 3. Let u be (-104)\/6 - (-15)\/45. Let w = -11 - u. Calculate the smallest common multiple of l and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*g - 24532 = -2360 + 11857 for g.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**2 - 4*c**2 - 2*c**2)*(-3*c**2 + 9 - 9) + 2*c**4 - 103*c**2 + 9*c**2 - 108*c**2 in the form u*c**2 + l + z*c**4 + b*c**3 + d*c and give u.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c0 - 5?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -35*d + 243. Let b be v(7). What is the third biggest value in 1, -0.2, b, 0.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 10:37 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t**3 - 2*t - t**4 + 0*t + 15*t**3 - 24*t**3 + 5*t**2 as v*t**4 + z + w*t + j*t**2 + y*t**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3891038 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/8 - 9*a**2\/4 - 63*a\/8.\nAnswer: a*(a - 21)*(a + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a centimeter in micrometers?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26871061 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 2*q + 3. Let u be b(0). Suppose u = -5*x + 18. Let f(k) = -3 + 4 - 4*k**3 - k - 5*k**x. Calculate f(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -683 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.017, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 2. Suppose 8 = 2*n + 4*r, -r + 0*r = -n + f. Find the second derivative of n*k + 20*k**5 + 10*k + 60*k**3 - 60*k**3 wrt k.\nAnswer: 400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**7\/70 + 31*a**6\/120 + 2*a**5\/15 - 5*a**3\/3 - 6*a**2 - 82*a. What is the third derivative of i(c) wrt c?\nAnswer: 72*c + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - 3*(sqrt(132) + sqrt(132)*-1 + sqrt(132)))\/(sqrt(72)\/sqrt(6)*-4))**2 + 5 + (sqrt(22) + (sqrt(88)*-1 - sqrt(88)))\/(sqrt(8) - 2*sqrt(8)).\nAnswer: 3*sqrt(11)\/2 + 31\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - (6 - 3))*-4. Let c be ((-2)\/i)\/((-23)\/(-138)). Suppose -6*f + c*a + 128 = -f, 2*f + a = 49. Calculate the remainder when 124 is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 1. Let x(b) = -b. Let d(n) = 3*n**2 - 22*n - 13. Let o be d(8). Let m(t) = o*x(t) + 2*r(t). Calculate m(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85184250 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*n = 3 - 123 - 14. Suppose 9 = w + 2*w. Suppose -3*z = -w*m - 2*z - 6, 4*m + 24 = -4*z. Put n, 1, m in increasing order.\nAnswer: m, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 5:28 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 + (-2125)\/51 + (2 - -10))\/(-1). Suppose 25\/6*l + a*l**2 - 10\/3 = 0. Calculate l.\nAnswer: -4\/11, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(2\/27))*x**(-14))**24\/(x**(-1\/5)*x\/x**(-9))**(-5\/4) assuming x is positive.\nAnswer: x**(-11591\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*h, h = 2*o - 3*o - 2. Suppose -o*p + 87 = -138. What is the greatest common factor of 30 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33539802.\nAnswer: 2, 3, 83, 67349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/15 or -19419433?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 15 - (-12654)\/(-912)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 18 + 52. Suppose 172 = 2*s + i. Let v = 230057 + -229978. Is s at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -575616, -575555, -575446, -575283, -575060, -574771, -574410, -573971?\nAnswer: -573448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -573 + 342. Let z = -1 - 0. Is (m\/(-6))\/(z\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b + 0*b**3 - b**5 + 11\/10*b**4 + 7\/25*b**6 + 0 - 4\/5*b**2. Let l(r) = 0. Calculate r.\nAnswer: -2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904766 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*b + 666140 + 1508557 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9\/14 - -46\/77. Let n = 7\/45 - 1783\/180. Find the common denominator of i and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222001010101221 + -21?\nAnswer: 222001010101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152.3654 - -152.5. Round d to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.5 (c) -3 (d) -0.3 (e) -22 (f) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -2, -47, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 d when four letters picked without replacement from ydyydyybd.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*g. Let s be ((-3)\/(-2))\/(g - -3). Suppose -4*y + 8*y = 5*l - 1, -3 = 5*l - 3*y. Which is the nearest to s? (a) 0 (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 62309*x**2 + 8*x - 14. Let r be z(5). Suppose 0 = 4*b - 3*l + 7752102, -b = 2*l + r + 380280. Let w = -3668027 - b. Round w to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**7\/315 + 2*l**6\/45 + 9*l**5\/50 + l**4\/45 - 8*l**3\/9 - 3999*l. Find n such that r(n) = 0.\nAnswer: -5, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*p - 92 - 7*p + 4*p - 13*p.\nAnswer: 12*p - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*d - 35*d - 21. Let f(t) = 7*t + 9. Let k(h) = 15*h + 19. Let p(a) = -13*f(a) + 6*k(a). Calculate the least common multiple of p(d) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 5*o + 3. Let n be c(0). Let z be n\/(-1 - (-4)\/3). Solve -q - 2*q = z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1222*r**3*w**3 - r**3*w - 115*r**2*w + 19*r*w - w**5 wrt w?\nAnswer: -7332*r**3*w - 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*d + 3*d. Suppose d*n + 6 - 384 = 0. Let h = -21 - -35. What is the greatest common factor of n and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 7:05 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -5*t - 17, 4*b = -t - 2 + 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -24?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10406 + 11224. Calculate the highest common divisor of s and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.35 in 1\/2, -0.4, -2435.2, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1953 and 10199.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77\/2 - 40. Calculate the common denominator of s and 124\/30 + (-4)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 9*z - 10*z)*(0*z**2 - z**2 + 0*z**2) - z + z + 10*z**3.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2744 + -2742.931. Round r to two decimal places.\nAnswer: 1.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 14. Suppose -g - 3 = -2*o. Calculate the lowest common multiple of 8 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-897)\/(-1196)*((-4)\/(-14) - (-95)\/(-210)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1805*v**2 + 134370*v + 386865.\nAnswer: 5*(v + 3)*(361*v + 25791)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -71?\nAnswer: 4.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -110090 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**3 + 91*a**2 - 482*a - 6267. What is s(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**5 + 3405*h**3 + 8*h**2 + h + 11567 wrt h?\nAnswer: -40*h**3 + 20430*h + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -0.5, 47, 585 in decreasing order.\nAnswer: 585, 47, 27, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(147))**2 - sqrt(3)) + (-2*sqrt(15) - sqrt(15))\/sqrt(5).\nAnswer: -4*sqrt(3) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 1461*v**7\/7 + 6911*v**3\/3 - 1818. Find the third derivative of k(y) wrt y.\nAnswer: 175320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f + 2*f - f + 3*f + 4 to the form s*f + v and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q**2 - 21*q + 36. Let c(f) = 19*f**2 + 61*f - 107. Let v(k) = 4*c(k) + 11*j(k). Let y be v(4). Suppose 14 + 6 = 5*u. Is u at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 86\/129 - (-4)\/3. Solve 0 = g*b + 6*b + 24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6721 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.203287 rounded to 3 dps?\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81\/2 - -42. Let w = 0.18 + -4.18. Let k = w + 8. Sort k, 0.4, j in increasing order.\nAnswer: 0.4, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 10:19 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.36, 4, -2, 4\/3, 87.\nAnswer: -2, 0.36, 4\/3, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 51 = 5*c - r, 3*r - 77 = -19767*c + 19763*c for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h = -10. Let s be (-3 - 27\/(-6)) + 15\/(-6). Let y be -1*(-1 - s)\/(-4). Solve h*f - 4 = -y*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*w**3 + 253200*w**2 + 30677845*w + 1896630 = 0.\nAnswer: -331, -191, -6\/97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 283, 580, 877, 1174?\n\"Answer: 297*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, -59, -4, -319, -1 in decreasing order.\nAnswer: 4, -1, -4, -10, -59, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-117)\/9)\/26*(-15)\/((-165)\/572).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 11*v**2\/2 + 28. Let n(u) = u**2. Give n(o(g)).\nAnswer: 121*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 641760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 5, -6, -272960, 0 in ascending order.\nAnswer: -272960, -6, -4, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4)*w**(2\/3))**(-2\/77)*(w\/w**(-1))**(-2)\/(w**(-4)\/((w*w**(4\/3))\/w)) assuming w is positive.\nAnswer: w**(55\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.78922625 and -2.\nAnswer: -0.21077375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.5673677 rounded to two dps?\nAnswer: -13.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 42280 divided by 280\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k**3 + 8*k**3 + 13*k**4 + (k**2 + 3*k**4 - k**2)*(-4 + 7 - 5) to c*k**4 + a*k + r*k**2 + w*k**3 + y and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 times -1.9\nAnswer: -5.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**3 + n + 10*n**2 + 200222 - 200224 - 9*n**2 - 21*n**4 as w*n + k*n**4 + r*n**2 + c + b*n**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 10 - 3720*o + 24 + 3563*o.\nAnswer: -2*o**2 - 157*o + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2185*s**4 + 8*s**2 - 2778*s + 4. Let z(i) = 2182*i**4 + 6*i**2 - 2779*i + 3. Let v(y) = 3*t(y) - 4*z(y). Find the second derivative of v(c) wrt c.\nAnswer: -26076*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3091?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 + v. Suppose -2*k = 4*z - 2, 3*z + 0*k + 4*k - 9 = 0. Let f be p(z). Suppose 0 = -2*l - f*l + 20. Solve l*b = y - 2*y, -2*b = 4*y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*f + 2. Let l be ((-4)\/16)\/(20\/24). Is f at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {s: 3, z: 5, o: 3, n: 2, c: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1015 and 1435.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/72 and 113\/264.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*i, 5*v - 3*i - 40 = 2*i. Suppose -l = -6 - v. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-237*v - 222*v + 440*v)*(6 - 2 - 2)*(-1 - 1 + 0) to the form k + w*v and give w.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4 - 5*a + 3*a**2 - 5*a**2 + a**2 + 2*a**2. Let u be c(6). Solve 0 = u*l - 4*l + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (-26 - (-5 + (-40 - 1)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/1248 and -73\/255108.\nAnswer: 26531232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/4871 or -1?\nAnswer: -2\/4871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 2:46 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.086 - 0.086. What is the closest to s in 1\/11, 0, -3, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**11\/((j*j**(1\/4))\/(j**(1\/3)*j))*((j**0*j)**(-40))**24 assuming j is positive.\nAnswer: j**(-11651\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29002.35 millilitres to litres.\nAnswer: 29.00235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -156 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*w + 2388 = 768 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(9\/228) + 0. Suppose 0 = 3*g - 2*g - 1. Let c = y + g. What is the highest common divisor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/1426 and -19\/4?\nAnswer: 2852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4184 is divided by 131?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 + 2*m + 2 + 2*m - 5*m - 4*m. Let z(y) = -10*y**2 - 26*y + 10. Let t = -12 - -15. What is t*z(j) - 16*b(j)?\nAnswer: 2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2969, -271, 4, -4 in ascending order.\nAnswer: -271, -4, 4, 2969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.14 + -0.14. Which is the third smallest value? (a) 2 (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 22 = 35. Suppose -6*a + 189 = j. Solve 2*f = 5*c - 17 - 10, -4*c + a = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*y - 251, -2*x + 336 = 2*x - 2*y. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 1. Suppose 2*k - 4*z - 32 = 0, 3*z + 2*z = 5*k - 65. Suppose k*d = d + 405. What is the highest common factor of c and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81418829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -564, -680, -416, 228?\n\"Answer: 190*z**2 - 686*z - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2499 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7638)\/(-4020)*15\/95.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-202)\/22 - (-4)\/22. Let f = u - -11. Suppose 3*p - 523 = 3*q - 5*q, f*q - 169 = -p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 226\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q + 102 = 38*q. Let t(u) = -q*u**2 + 4*u**2 + 0*u**2. Let y(a) = -8*a - 8. Give t(y(d)).\nAnswer: -128*d**2 - 256*d - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 16. Let z = u + -11. Let c(m) = m**3 + 5*m**2 + 2*m - 5. Calculate the lowest common multiple of c(-3) and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9.19 from 240.\nAnswer: 249.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1050 and 3900?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + w**3 + (0*w**2 + 3*w**2 - 2*w**2)*(4 - 4 + 4*w) - 3*w - w**3 + 3*w - 1 - w**3 + 1.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -14921*o + 388091. Calculate a(26).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 104, 337, 786, 1523?\nAnswer: 2620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 5:55 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288111 + 64080 = -53*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1745639 is divided by 83125?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 676.\nAnswer: 4056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 7*x**5\/20 - 3*x**4\/4 + x**3\/3 + x - 1. Let z(t) be the first derivative of p(t). Factor z(b).\nAnswer: b*(b - 1)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395109589 to the power of 1\/2, to the nearest integer?\nAnswer: 19877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 219\/(3\/9 + (-2)\/12). Suppose -j = 2*h + 7*h. Let n = 34 - h. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.500429km to centimeters.\nAnswer: 750042.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2203465 to the nearest integer?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1 = -2*u, -6*u + 20 = -4*u + 4*f. Suppose -u + 2 = 2*v. Let t = 467\/3 + -1093\/7. Which is greater: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7281657 to the nearest one hundred thousand.\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -16. Let v(y) = -473*y - 5. Let c be v(5). Is c\/n - 1\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 13*c**2 + c - 11. Let q be m(-5). Find the first derivative of 2*o**2 + 3*o**2 - 309*o + q*o + 7 wrt o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2 + (2 - 8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 - ((-3)\/48)\/(4\/424). Is b bigger than 5\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 11*a**3 - 66*a**2 - 84*a - 6. Let x(t) = -22*t**3 + 143*t**2 + 169*t + 13. Give 13*g(c) + 6*x(c).\nAnswer: 11*c**3 - 78*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/4 + 792*g**2 - 3*g - 3168.\nAnswer: 3*(g - 2)*(g + 2)*(g + 1056)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2308 - -1057?\nAnswer: 3366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.57 - -0.47. What is the smallest value in 0.6, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 28. Let g be (-57)\/(-4) + (-1)\/4. Suppose -l = -3*l + g. Calculate the smallest common multiple of w and l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11374 divided by 47?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5777216?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4706 = 113*d - 100*d. Is -1811\/5 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + v**2 + v - 2. Let y be w(0). Let x be (-123)\/(2\/((-6)\/(-3))). What are the prime factors of y\/(2 - (-252)\/x)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46156850 and 2200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119 + -40. What is the remainder when p is divided by (-98)\/(-5) + 4\/10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*3\/(-9))\/((48\/62)\/8).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1159820855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*k + 14069 = 1289, -2*i + 8530 = -3*k. What is the least common multiple of 3192 and i?\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1317991.\nAnswer: 131, 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 26*i + 113. What is the tens digit of n(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, o: 1, l: 3, q: 1, c: 4, f: 4}. Give prob of picking 1 q, 1 f, and 1 l.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v + v + 6400. Does 45 divide (v - 10)*18\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 5*x - 19. Let n(w) = -2*w + 22. Let f be n(13). Let p(t) = t**3 + 5*t**2 + 7*t + 4. Let a be p(f). Is u(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*f**3\/5 - 17359566*f**2\/5 + 307542811680*f - 33821307776608\/5 = 0 for f.\nAnswer: 22, 1239892\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c + 36 = 0. What is the units digit of 2\/c + 472\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.08 - 0.37. Round z to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 383 or -0.4?\nAnswer: 383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6141)\/(-6) - 2\/(-4). Suppose 0 = -0*b - 4*b + l. Let o(q) = 21*q - 115. Let j be o(7). Calculate the greatest common factor of j and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/78)\/(2\/(-5)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*((-52)\/(-78) + 16\/(-30)). What is the third smallest value in -6, i, 0, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357, -358, -359, -360, -361?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7253237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -83 - 59941?\nAnswer: -59a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -53*f - 727. Let b = -39 - -125. Calculate the remainder when b is divided by y(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -11) + 1 + 2 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 10*d**2 - 18*d + 13. Is r(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -29, -12, 2.63?\nAnswer: 2.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**3 + r**2 + 2*r + 4. Let t(c) = 2*c + 2. Let g be t(-2). Let a(f) = -f**2 + f + 1. What is g*a(b) + n(b)?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*a = -10, f - 5*a = 33 - 5. Let i(s) = 3 - 9*s**2 + f - 6. Let c(n) = -2*n**2. Determine c(i(y)).\nAnswer: -162*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -910, -927, -946, -967, -990?\n\"Answer: -s**2 - 14*s - 895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1476 + 1476 + 101*u.\nAnswer: 101*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63.15 - -68.15. What is the nearest to -0.1 in l, 6, 2\/3, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - x + 28 = 0, -w + 2*x + x = 14. Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 + v**2 + 5*v**2 - 29*v**3 + 30*v**3)*(-1 - 2 + 1).\nAnswer: 2*v**4 - 2*v**3 - 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/8 - 6*k**3 + 397*k**2\/8 + 2373*k\/4 - 637 = 0 for k.\nAnswer: -7, 1, 26, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxscselvvscv. Give prob of sequence vlv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 48525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*2*5)**2*5.\nAnswer: 688500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 6:42 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in 0.4, -2, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2748.1 + 2748. Round a to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -380*y - 4555. Determine b(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.37 + -0.3. Let v = g - 0.0708. What is v rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810915279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 3. Is c(9) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -15 + 5. Calculate the highest common factor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232 + 20?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1018 + -1363\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (168\/196)\/(764764\/16268 - 47)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16296?\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87517520.\nAnswer: 2, 5, 1093969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44547 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 11 = 3*n, -47*n + 32 = -53*n - 2*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*s**5 - 2*s**5 - 57*s**5 + (2*s - 4*s + 4*s)*(3*s**4 - 3 + 3).\nAnswer: -41*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 1:24 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 46*t**2 + 11*t - 6. What is u(-4)?\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 205006?\nAnswer: 5\/205006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 49. Let x = c + -14. What is the least common multiple of x and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4514*q - 91107 - 220359 = 0 for q.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7)**17\/(y**6)**(-4) assuming y is positive.\nAnswer: y**143","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1281080 rounded to the nearest ten thousand?\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5809631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(76))\/sqrt(2))\/(((sqrt(2) + sqrt(18) - sqrt(2)) + sqrt(2))*3)*5.\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(19) + -4 + -5))**2 + (-4*(sqrt(228)*2 + sqrt(228) - sqrt(228)))\/(-5*sqrt(12)*-1).\nAnswer: -448*sqrt(19)\/5 + 560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.9? (a) -4\/109 (b) 0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -71 + -d6?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36650 is divided by 187?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 1) + (201 - 203)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 411 - 374. Solve j*c - 36*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*j + 340 = -5*t, -201 = 3*t - 2*j. Let u be -5*1 - 377\/t. What is the closest to -1 in 0.2, u, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q = -5*m + 156, -2*m + 2*q = -56. Let x = -29 - -100. Let v = x - m. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 4\/7 (c) 2 (d) -0.3 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8790171.\nAnswer: 3, 13, 257, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94 (base 16) to base 10.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/18)\/(16\/96 + 0) + 1. What is the closest to -1 in 165, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t - 144 = 46*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**11*n**8\/n*n assuming n is positive.\nAnswer: n**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1772258 + -158?\nAnswer: 1772100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 6*t + 10. Let n(j) = 3*j**2 + 11*j + 21. Let v(s) = 5*d(s) - 3*n(s). Is 4 a factor of v(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyyyyyuyyyu. Give prob of sequence uuuy.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 27?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 354 = f, -3*f - 168 = -2*i + 2*f. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8406 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*o = 0, 5*o = 3*h - 0*o - 21. Let a be (2\/4)\/(h\/12). What is the closest to -1 in 4, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 826 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7)*z)**(3\/8)*z**(4\/7)\/z**(3\/7)*(z**(-4)\/(z\/((z*(z**2\/z)\/z)\/z)))\/(z**1)**(-18) assuming z is positive.\nAnswer: z**(751\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**5\/12 - 25*y**4\/24 + 10*y**3\/3 - 15*y**2\/2 - 25*y. Let r(h) be the first derivative of g(h). Find f, given that r(f) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*x + 27. Let p be (-24)\/56 - (-66)\/x. Let i be p - (-1 - (-1 - 3)). Solve -m = -2*t + 4, t - 2 = i*m - 2*m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/9, -122, 3 in descending order.\nAnswer: 3, 2\/9, -1, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 16 = -7*c + 5*b, -2*b + 7 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 11*a**2 + 4*a + 3. Let l(n) = -n**3 - 8*n**2 + 6*n - 29. Suppose -3*b = b + 36. Let r be l(b). What is the tens digit of j(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-154)\/(-56) + ((-15)\/4 - -3). Solve -2*n + 5 = l - f*l, -n = -5*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*c + 4*x + 14, -c - 2*x = -11. Suppose 26 = m - 2*v, 140 = 3*m + m + 4*v. Suppose 5*o - 2*q = m, -o - c*q = 1 - 2. Solve -4*r = -2 + o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9))\/(2\/(2*-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 - k + 2. Let w(d) = 6*d**3 - 2*d + 7. Let g = -19 + 26. Give g*h(r) - 2*w(r).\nAnswer: 2*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (sqrt(2736) + sqrt(2736) + 1 + 4) - (sqrt(2736) - (sqrt(2736) + -1)*4 - sqrt(2736))) + 1 + (1 + 1 + sqrt(2736) + -5)*2)**2.\nAnswer: -1680*sqrt(19) + 68596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 8:09 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**3 - 2*i**3 + 3*i**2 + 3 + 4*i**3 - 11*i**3 wrt i?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32 and -35721.\nAnswer: 1143072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 131844744 a multiple of 604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*k)*(1 + 0 + 1) + k + k - 4*k + 4*k - 3*k + 4*k + (-1 + 1 - 2)*(-2*k + 0*k + k) + 2*k - 2*k + 2*k - 5 - 2*k + 5.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -28*s**2. Let p(x) = 5*x**2 + 3*x. Let v(o) = 15*o**2 + 8*o. Let w(q) = -8*p(q) + 3*v(q). Calculate w(f(j)).\nAnswer: 3920*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-35))\/((-8)\/35) - (-8)\/(-4).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -474.506831 from -2.\nAnswer: 472.506831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 11*m**2 + 11*m + 11. Let w be k(-8). Let q = -58 + w. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*s**4*x + 46924*s**4 - 4*s**3*x**3 - 4*s**2*x - 139043*s*x**3 - 2 wrt s.\nAnswer: 504*s*x + 1126176*s - 24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*z = 50, h + z + 1 = 24. Is h != 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*i + 3. Let l(j) be the first derivative of -1\/4*j**4 - 4\/3*j**3 - 3\/2*j**2 + i - j. Give l(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19.0132 or 0?\nAnswer: -19.0132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 + 0)*(-2 + 2*h + 2) + 5*h + 0*h - 3*h - 4*h + 11*h + 10*h + (1 - 1 - 3*h)*(-5 + 3 + 3) - h - 8*h + 5*h to m + p*h and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - 4*z + 2*z)*(-3*z + 4*z - 2 - 9*z)*(17 - 20 + 55*z + 36*z) in the form x + d*z**3 + c*z + n*z**2 and give n.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5212 and 740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 626 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 10*i - 11. What is f(5)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*1 + 2295\/15. Suppose -11*b + 4 = -u. What is the highest common divisor of b and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*r**3 - 26*r**3 - 2*r**4 + r + 3*r**3 - 3*r**3 in the form q*r**4 + k + x*r + p*r**3 + a*r**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122533830 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 495082271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1932 and -51\/805.\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -58. Suppose -f = -5*n + 18. Let m be ((-2)\/6 + 1)*3. Solve -n = -m*a - a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -5 (c) -36 (d) -0.3 (e) 0.1525 (f) -27 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 5. Let r be 2\/11 - 68\/11. Let c = 7 - 2. Let i(g) = g + 6. Calculate c*i(l) + r*t(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 3*o + 1. Let q be g(2). Suppose 0 = -q*t + 2*t + 7. Is 24 a factor of (-378)\/9*(-12)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*w**2 + 31*w**2 - 8*w**3 + w)*(53*w**2 - 93*w**2 - 42*w**2).\nAnswer: 656*w**5 - 82*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (31\/(-186)*30)\/(2 + -1) + 5. What is g in -10\/7*g**2 - 12\/7*g + 10\/7*g**4 + 10\/7*g**3 + t + 2\/7*g**5 = 0?\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 707176*b**5 - 153*b**2 - 1414355*b**5 - 4*b**3 - 7862*b + 707174*b**5 wrt b.\nAnswer: -100*b**3 - 24*b - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15409 and 231135?\nAnswer: 231135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 2*l - 3*l - 4682, 4690 = 5*n - 5*l. Suppose w = -11*w + n. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -2) + 4 + (2 - (11 + -8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 6*g + 4*g)*(-296 + 164 - 1560).\nAnswer: -3384*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 + -6 + 6 + 40 - (-66 + 64).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**3 + p**2 - p + 5. Let t(x) = -5*x**3 + 2*x**2 - x + 4. Let u(w) = 6*g(w) - 7*t(w). Let r be u(-8). List the prime factors of (2\/r)\/(3\/(-36)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-9 - -2) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.894 - 0.106. Let f = 167\/18 - 587\/18. Let m = f + 143\/6. Which is the nearest to 3? (a) n (b) -1\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7470+0.15\nAnswer: 7470.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 69*w**3 - 92*w**2 - 92. Let p(s) be the third derivative of s**6\/120 - s**5\/60 - s**3\/6 - 404*s**2 - 2. Determine -l(b) + 92*p(b).\nAnswer: 23*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.13742 - -13.13742. What is the nearest to t in -5, 5\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t - 3*k - 27 = 0, 0 = -2*t + 2*k + 22. Suppose -2 = 2*o - t. Let a be 4 + (-1 - 2\/o). Solve -a*i + 4*i = -6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9188608 less than or equal to -9188608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(88) - -1*sqrt(88) - sqrt(88)) + sqrt(88) + sqrt(88)) - (sqrt(88) - 1*sqrt(88))*5)\/(sqrt(128) + sqrt(128) + 5*3*sqrt(128) + sqrt(128)).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 172?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -93, 3, -3, -3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 + z + 17*z**3 - 22*z**3 + 1 - 3*z + (-z**2 + 3*z**2 - z**2)*(4*z - 5*z + 0*z).\nAnswer: -6*z**3 + z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 3 (b) 0.1 (c) 107 (d) -7\/5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*n + 120 = 0, -n - 64 = -h - h. Suppose -2*f - 24 = 2*g - 0*g, 3*g - 2*f + h = 0. Let z = g + 16. Solve 22 = z*b + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 7*y = 2. Calculate the highest common divisor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 8) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 455 divide 37310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 3, -178, -5 in increasing order.\nAnswer: -178, -15, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555854765?\nAnswer: 5, 43, 109, 23719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 15 = -5*a - 80, -4*a - 4*s - 80 = 0. Round a to 0 decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6207384 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 4:08 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) + (-48)\/(-9). Let v be (2\/(-4))\/(34\/(-68)). Let u be ((-7)\/3 + 2)*-6. Sort u, v, g in descending order.\nAnswer: g, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60405 is divided by 3021.\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -8. Suppose q + 0 = i - 3, 0 = -g*q - 8. What is the units digit of (1\/2)\/(i\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4.4. Let m = 0.05 + -5.05. Which is the nearest to 0? (a) q (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f + 2. Let d be l(-3). Let o(v) = v**2 - 12*v - 26. Let u be o(d). Suppose -8 + 0 = -u*y. Solve y*r - 12 = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -31 (b) 4 (c) 0.1 (d) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06034561948 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*k = 43*k - 32. Let b(g) = 21*g**2 + k*g**2 - 2*g + 2 - 43*g**2 + 5*g. Let l(j) = 7*j**2 - 4*j - 3. Determine -3*b(v) - 2*l(v).\nAnswer: 4*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*k**2 + 5*k - 22*k + 10*k + 7*k.\nAnswer: 141*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -10*v + 18. Let s be j(13). Let q = 179 + s. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -14*z**3 - 2*z**2 + 14*z + 35. Let h be 2 + ((-238)\/51 - (-4)\/(-3)). What is the units digit of q(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 16. Let g be 9\/z*1\/(-6). Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.17149 less than -417\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/10)\/((-5)\/(-25)). Let y be g\/4*(-1 + 0)*4. Suppose -4*t - 6*n - 14335 = -n, y*t = -3*n - 7165. What is t rounded to the nearest 100?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*r + r - 3, 0 = -5*a - 5*r - 15. Suppose a*k = 2*g - 2 + 12, -40 = 4*g + k. Let t = g + 13. Let w(z) = z**2 - 7*z + 6. What is w(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*k + 5*h = -53*k + 7, 2*k = -h - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/147)\/(((-120)\/(-525))\/((-12)\/15)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 0.0097 (c) 4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 5*n + 5*w, -7*n + 3*w - 38 = -14*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -70712 - 3?\nAnswer: -70715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4307 by -2.\nAnswer: -4307\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6161 (base 14) to base 9.\nAnswer: 24865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*s - 1 + 226 = 0. Let -6\/11*k**4 + 6\/11*k**2 + 2\/11*k - 10\/11*k**3 + 0 + 8\/11*k**s = 0. What is k?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -24615*i + 320046. Calculate d(13).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 10 = -5*b, 14 = -3*s + 2*b + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30558 and 15279?\nAnswer: 30558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4244033 (base 5) to base 10.\nAnswer: 71768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34836937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 0)*20\/4. Suppose l + 13 = 3*c. Suppose c*m - m = 0. Solve m = -2*s + s + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 8:59 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(11) + sqrt(22)\/sqrt(2)) - ((sqrt(11) - sqrt(77)\/(1*sqrt(7))) + sqrt(11))) + 1 + sqrt(11)*4 + 4 + -5)**2.\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58618, -117247, -175874, -234499?\nAnswer: -293122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117 is divided by 256?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 21*c**2 + 2*c - 37. Let d = -65 + 86. Let z be u(d). Solve 25 = 5*q + z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2)*(l*l**4)\/l*l**8*l*l**5\/l assuming l is positive.\nAnswer: l**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**3 + 339608*b**2 - 7209707844*b + 57655929888 = 0.\nAnswer: 8, 42447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.223 less than -0.65?\nAnswer: -0.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.4349095ng?\nAnswer: 0.0000000000000004349095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, 10, 31, 70, 133, 226, 355, 526?\n\"Answer: u**3 + 2*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**2\/2 - 10762*r + 323085\/2 = 0.\nAnswer: -21539, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*d**5 - 1848*d**4 + 1848*d**4 - 23*d + (0*d**4 - 3*d**4 + 8*d**4)*(-1 + 1 + d) - d**5 - d**5 + 0*d**5.\nAnswer: -5*d**5 - 23*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 77 - 53. What is the highest common divisor of h and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u. Let o(q) = 3*q**2 - 7560*q. Determine o(h(n)).\nAnswer: 147*n**2 + 52920*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 14*a**3 - 941*a**2 + 197*a + 254. What is p(67)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*i - 15*i - 12*i - 94587*i**2.\nAnswer: -94587*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-3)*1\/2*(-35)\/5\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 354552 less than or equal to 354561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/3)\/(3*6\/(-87102)).\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -38*n - 361. What is d(-12)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(2 + -3 + 2). Solve 4*o - 6 = -3*n - i, o = -3*n + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 860*t + 5 = 861*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 222 = z. Let r(y) = 49*y - 470. Let x be r(13). Let t = x + z. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 16685 = 5*z, -l - 1679 = -3*z - 5846. Suppose -2*f + 2780 = -3*a, -a - 3*a - l = -3*f. Round f to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.1 (b) 1 (c) 16 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/3)\/((-2)\/6). Suppose -l + 3*x = 6*x - 11, 0 = c*l - 4*x - 36. Suppose -l = 3*n - 2. Is -1 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, x: 4, o: 3}. Give prob of sequence xxov.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vok when three letters picked without replacement from kvoo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8542014 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 32.9. Let y = -2 - p. Let h = y + 0.1. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20164050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from vvvvxvxvvxxvvv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -2\/3095?\nAnswer: -2\/3095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i - 4. Let h be b(-4). Suppose 5*j = -10, 0 = -h*k + j + 344 - 134. Suppose -4*p + k = -12. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Let h be (n\/2)\/((-5)\/(-10)). Suppose 19 = h*x + w, -5*w - 7 = -4*x + 24. Calculate the remainder when x is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -773070, -1546139, -2319208, -3092277, -3865346?\nAnswer: -4638415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*l - 2021 = 87*l. What is the lowest common multiple of 6 and l?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 270902103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -3742?\nAnswer: -3742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -8. Let f be m\/3*(-6)\/5. Factor 5*g - g - 3*g - g**3 - 3*g**4 + f*g**4 - g**2.\nAnswer: g*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*r - 9*r - 9*r)*(8 - 1 - 2) - 3 - 10 - 3*r - 4 in the form c + w*r and give w.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/13 - 1278*t\/13 + 45676\/13.\nAnswer: 2*(t - 601)*(t - 38)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.2 less than 0.29?\nAnswer: -7.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -3 (c) 5 (d) -2544.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204611?\nAnswer: 11, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2480\/(-3) - -6)*-3?\nAnswer: 2, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1752707965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10316085 divided by -158709?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1853271454 divided by -4\nAnswer: 926635727\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1068 by 89.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (663*r - 99*r + 706*r)*(4*r + 0*r - 3*r) - r**2 + 7*r**2 - 4*r**2.\nAnswer: 1272*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Suppose j - 1 - 1 = f. Let g be -12*1\/((-1)\/j). Calculate the greatest common factor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 11 (b) -103 (c) 0 (d) -123 (e) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434*o + 5181 = 557*o - 1461. What is the remainder when 769 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from {c: 3, j: 3, n: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-416)\/(-504)) + 39\/(-52)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 4. Let g be 3 + -3 + k + 1. Suppose g*b - 4*b - 8 = 0. What is the third smallest value in -4\/9, b, -8?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -357, -388, -467, -618, -865, -1232, -1743, -2422?\nAnswer: -3293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnvlr. What is prob of picking 1 p, 1 r, and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 203*n + 7. Let b be q(-2). Let a = -402 - b. What is the closest to -0.2 in a, 5, -1.5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 18*p**5\/7 + 48891*p**4 + 5871093*p**3\/7 + 25246887*p**2\/7 + 22852353*p\/7 + 3134340\/7 = 0.\nAnswer: -18996, -11, -5, -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014414691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 278777515818+0.52\nAnswer: 278777515818.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 256*s - 2 + 227*s - s**2 + 422*s + 669*s to the form k*s**2 + j*s + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.240111, 0.2, 0.06 in descending order.\nAnswer: 0.240111, 0.2, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9)\/(l*l**(6\/17)))\/(l**(-2\/5)*l)**(-1) assuming l is positive.\nAnswer: l**(-829\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.286*5.\nAnswer: -1.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -475.\nAnswer: 47.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + 2*k + 2*k)*((2 + 4 - 1)*(-3 + 4 + 3)*(1 - 3 + 3) + 20 - 3 - 8) in the form l + u*k and give u.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 4*q**2 - q + 3. Suppose -3*k + 20 = 2*k. Let i be j(k). Sort -5, 1, i in decreasing order.\nAnswer: 1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 17, -1, 4, -36 in descending order.\nAnswer: 17, 4, 0, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 5*f + 1. Let r = -16 + f. Let a be (-10)\/(-4) + 1\/2. Solve r = -6*h + a*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.14 - -0.04. What is the third smallest value in v, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 16*s - 1. Let g be r(7). Let l be (g\/(-28) - 2)*7. Solve -32 - 3*w**2 + w**l - 8*w + 24*w = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 39*s**2 + 48*s - 330. Let t be x(38). Solve -20*p + 30*p + t = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 627, 1047, 1491, 1965, 2475, 3027?\nAnswer: 3627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4182 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5, -f - 5*n = -2*f + 18. Sort 8, f, 4 in decreasing order.\nAnswer: 8, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + 0 + 1 + 3.\nAnswer: 4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 2*p + 2*p**5 - 19 + 3*p**4 - 5*p**4 - 25 + 4*p**2 - 4*p**3 = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47730707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 1923425200?\nAnswer: 1923425204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 197, 442, 785?\nAnswer: 1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 921, 1092, 527, -780, -2835, -5644, -9213?\nAnswer: -13548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-8)\/((a*a**9)\/a))\/(a*a**4*a**2))**(-5\/7) assuming a is positive.\nAnswer: a**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 bigger than 20040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d - 1. Let y be n(-1). Suppose -y*i + 16 = -0. Differentiate -24*z**3 + 31*z**3 + 7 + 4*z - i*z with respect to z.\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 46\/5 of a millimeter?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g**2 - 86*g - 207. Let t be h(-17). Solve 92*q - t*q + 14 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27226744099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = v + v + 2*y, -17 = v - 4*y. Let s = -6.02 - -6. Let h = s + 0.12. Which is the nearest to -1? (a) 5 (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6578*y**2 - 4465 with respect to y.\nAnswer: 13156*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 19*x**5 + 1253884*x**4 + 23684607*x**3 - 27577510*x**2 + 2639000*x = 0.\nAnswer: -65975, -20, 0, 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104546847915 - 104546847354.00000541. Let a = -165 + 726. Let r = a - f. Round r to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + 5 + 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 2. Let w = o + -26. Let l(r) = 20*r + 23. Let a(s) = -7*s - 8. Calculate w*a(y) - 6*l(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 846 = 5*g, 5*g - 836 = -0*p - 2*p. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.97068 times -1\nAnswer: -0.97068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**5\/3 + 140*a**4\/3 + 1498*a**3\/3 + 6352*a**2\/3 + 3992*a + 2784 = 0.\nAnswer: -58, -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/3 and -73\/18130545.\nAnswer: 18130545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2204336359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-4) - (-101 + 4\/(-4)). Let v = a + -70. Suppose -20*x + 18*x + 128 = 0. What is the remainder when x is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/4, -0.059, -5?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*k - 1601, 2*k + 1975 = 7*k - 4*s. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(275))**2 - (-4 + sqrt(11) + -2))*-2.\nAnswer: -556 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1440, 2836, 4220, 5580, 6904, 8180?\nAnswer: 9396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2236 - 17955\/8. Calculate the common denominator of (-1104)\/322 - (-1)\/(-7) and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 9 = 13*g - 21. Let n = 10 - 53. Let q = -27 - n. Solve -g*r - 4 = q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y + 4. Let c(q) = -q**3 + 4*q**2 + 6*q - 2. Let w be c(5). Let o(m) = -4*m + 6 - 6 - 2 - 1. What is w*z(v) + 4*o(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 24*t**3 - 28 + 11 - 20*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2797*t - 2795*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 30 = -4*b - 4*c, 2*c = 4*b + 2. Let l be 90\/20 - 1\/b. Suppose 4*j + 5*v - 21 = 0, -v + 25 = l*j - 8. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 3:42 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -114823 + -4861?\nAnswer: -120784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 + 83. Let t = 40 + 50. Suppose -4*n - t = n. Does n = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2 - 2*s - 3. Let a(u) = -3*u**2 - u - 4. Let o(k) = -5*a(k) + 6*y(k). Let g be o(-2). Suppose 4*h = -g*h + 880. List the prime factors of h.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2)\/((-245)\/(-490))*((-85)\/(-150))\/(-17)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -75*i + 68*i. Let m be i\/8*1*-6. Put m, -1, 2 in decreasing order.\nAnswer: m, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.031 + 0.041. Let m = s - 0.01. Sort m, -1, -11\/6 in ascending order.\nAnswer: -11\/6, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**5\/20 + t**4\/6 + t**3\/3 + 3*t**2 - 21*t - 2. What is d(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4213 times -994?\nAnswer: 4187722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 + 60. Calculate the remainder when u is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2521 by -9.\nAnswer: 2521\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -6. Let l be 9\/2*k\/(-12). Let d be (-54)\/90*5*-1. Which is the nearest to l? (a) -2 (b) -2\/9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2*j - 2*j)*(-21 + 48 + 106)*(5 - 3 + 0).\nAnswer: 266*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21189\/38 - 1117\/2. Let m be (6 + 78\/(-18))\/(390\/(-468)). Is v at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rntrqrrq. What is prob of picking 1 q, 1 r, and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12734188, 12734186, 12734184, 12734182?\nAnswer: 12734180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*m + 2*d - 28, -2*m - 4*d + 14 = 0. Let w be (2*9 - -1) + 2. Suppose -m*k + 59 = -w. Solve 2*o - k = -2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 154\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 8847*u**2 + 4*u - 5*u + 8991*u**2 to q + z*u + b*u**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4571 (base 10) in base 4?\nAnswer: -1013123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7249512 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 - 16*s + s**3 - 3*s**2 - 15 + 5*s - 6*s**2. What is the units digit of q(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 364 - 270. Suppose -3*j - j + 40 = 4*t, j = t. Let y = 21 - j. Calculate the remainder when r is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 487, 960, 1611, 2428, 3399, 4512?\nAnswer: 5755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/10*((-34)\/48)\/(-17)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 120095, 120097, 120099, 120101?\n\"Answer: 2*p + 120093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165860*i + 166916*i - 33792 = 0 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 5, d: 6, h: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/3)\/((-2)\/30). Suppose 5*r - 1 = -l*q + 19, 3*q = 3. Suppose r*i - 88 = 53. What is the remainder when i is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6465.1 + 6465. Sort 0, -39, v in ascending order.\nAnswer: -39, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-9)*45\/6. Let m**2 - m**4 + 5*m - w*m + 0*m = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/259404880 and -79\/4.\nAnswer: 259404880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -43319, -43316, -43313?\n\"Answer: 3*a - 43322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 88, 1, 0, -1, -16 in descending order.\nAnswer: 88, 5, 1, 0, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1785 and 1860?\nAnswer: 221340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386882443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 218 * 1203175\nAnswer: 262292150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.172 + 0.272. Suppose 7 = -o + 2*z, 5*o = 2*z + 3*z - 15. Let q be 240\/18*o\/4 - 2. Which is the second smallest value? (a) q (b) y (c) 0 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = m - 26, -m + b + 0 = -6. Suppose -3*w - m = -10. Solve -p = w*p - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6416058\/31 less than or equal to -206969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 0.065193?\nAnswer: -3.065193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3403677 (base 8) to base 6\nAnswer: 31412515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*l**3 - 2467*l - 133*l**3 + 199*l**3 + 2467*l.\nAnswer: -58*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -136069 and -11293726\/83 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42519646.\nAnswer: 2, 13, 1635371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**2 + 41*n - 185. Is y(8) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 289514.0644 to the nearest 10.\nAnswer: 289510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 162, -1, 1, 5, -32 in increasing order.\nAnswer: -32, -1, 1, 5, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -2, -63\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.105673126 rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4571*o**2 + 3*o + 2335.\nAnswer: -9142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2122 (base 3) to base 9.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 224.8?\nAnswer: 220.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 446271114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2 + 10. Let g be 187\/17 - j\/(1 - 3). Is (-11)\/(-88) + (-2 - (-2551)\/g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d - 30. Let l be (-477)\/2*(-8)\/d. Suppose -l = s - 4*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a7 (base 15) to base 4.\nAnswer: -2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 0. Let t = w - -9. 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: What is (-63)\/90 - 1\/(25\/(-10))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 1. Let w be (-8 - -10)*(0 - 1). Let f = 2 + w. Let a be d(f). Put -3, 5, a in increasing order.\nAnswer: -3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119906994 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p**2 + 75*p - 33. Let y be t(12). Solve -3*m = -k + 6*k, -k + y*m = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a day in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/3385 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + j**2 - j - 8. Let v be y(0). Let q be ((-6)\/v)\/(5\/1220). Suppose -5*p = -62 - q. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 11*l - 1 + 12*l - 19*l + 4*l. Let u be w(2). Let z(h) = -h**2 + 16*h - 12. Let q be z(u). Solve -q*s + 16 = -7*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/8)\/a)**25 assuming a is positive.\nAnswer: a**(-125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9369746 rounded to 3 dps?\nAnswer: 2.937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g. Let o(j) = 13*j - 9*j**2 - 3*j**2 - 13*j. Give x(o(r)).\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.7 - 0.7. Let i = 11 + 0. Let t = i - 9. What is the third biggest value in -2, t, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121983*v + 35 = -121990*v, 5*v + 65 = -4*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1197 and 6?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 0 - 10*c**2 - 11*c**2 + 1 - 3*c + 22*c**2. Suppose 2 = 3*i - 4. Calculate f(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 8*o**6 - 49*o**4 + 317*o. What is the third derivative of i(p) wrt p?\nAnswer: 5760*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from {e: 1, g: 2, m: 3, v: 1, d: 5}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51 by -7.\nAnswer: 51\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -430.1 + 430. Which is the smallest value? (a) h (b) 140 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -6. Let t = -4 - o. Let b be t\/((-18)\/(-44)) - -2. What is the smallest value in 0.2, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 11:41 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence boee when four letters picked without replacement from oebe.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**3 + f**2 - 3*f - 3. Let x(h) = 4*h**3 - h**2 + 2*h + 2. Let s(o) = 2*i(o) + 3*x(o). Find the third derivative of s(g) wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528504810 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**4\/4 - 4*x**3\/3 - 13*x**2\/2 - 4*x + 19. Let q be y(6). Let r be 0 + (3 - (1 - q\/4)). Sort r, 1\/2, 0 in decreasing order.\nAnswer: 1\/2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7854, -7855, -7856, -7857, -7858?\n\"Answer: -d - 7853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.01 + -10.14. Which is the biggest value? (a) -5 (b) -49 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 213\/33*-7 + (-2)\/(-11). Let v = y - -47. Suppose -v*s + s = -5*c + 100, 2*c + 5*s = 67. Which is greater: c or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -219 + 162. What is g in -l*g**2 + 2*g**4 - 12*g**4 - 14*g**2 + 50 - 5*g + 9*g**4 - 11*g**3 = 0?\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 9952?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from botbbottboorobbrboob. Give prob of picking 1 r and 2 t.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -30.6. Let s = -3 - d. Let n = -7 + 2. Which is the second biggest value? (a) 1 (b) s (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p + 5*z = 19*p - 9624, -3*z = 2*p - 4834. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16678 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.047 - 31.953. Let o = -55 - v. Let d = o - -49. Which is bigger: -0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a**2 + 1. Let x be n(-1). Suppose x*r = -20 - 64. Let l = r - -15. Solve -2*h + 3*h + 5*k = 23, -l*k + 23 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828098 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 36417*o. Let j(c) = -2*c**2. What is r(j(t))?\nAnswer: -72834*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443 - 82 = -25*y. Solve 0 = 2*f + 15 - y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 - 2*s**2 + 5*s**2 + 4*s + 2*s**2 in the form q + w*s + k*s**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117240140 divided by -2630.\nAnswer: 44578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-9) + 0 + 1040\/(-6). Let n = 184 + v. What is the greatest common factor of n and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*d - 6*d - 18, 5*d = -2*p - 39. Let i(b) = 2*b - 2. Let a be i(-2). Let o = a - p. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v. Let s(y) = -5212*y + 3749. Let x(a) = -4*j(a) - s(a). What is the derivative of x(u) wrt u?\nAnswer: 5200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84 + 87. What is the remainder when 13 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2, 3429, -2\/19, 1\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15400 (base 10) in base 12?\nAnswer: -8ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5005757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 8:48 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*f + 2, 0*f - u = -3*f. Let s be (-85)\/(-15) + f\/(-3). Let z(a) = 3*a - 3. What are the prime factors of z(s)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -160*w - 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 + 0*w**3 + w**3 + (-2*w**3 + 0*w**3 + 3*w**3)*(-11139 - 1161 + 1622 - 5382 - 8069) as y*w**3 + p*w + q*w**2 + s and give y.\nAnswer: -24127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 3*t - 13, x + 3*t = -t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*q = 2*t + 318*q + 10, -4*t - 10 = 2*q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**3 - 5*a**2 - 7*a - 10. Let y be z(-2). Suppose -y*x + 118 = -2. Solve -3*k - 40 = x*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-558)\/372)\/((-297)\/(-74) + (-26 - -22))\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 13*h + 18. Let z be n(-14). Let j be (2 - (-504)\/z) + -2. Let l = j + -89. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/4)\/(r\/(r*(r*r*r*r**(-2))\/r)))\/(r*r**(-1)*r)**(-2\/121) assuming r is positive.\nAnswer: r**(613\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2894 rounded to 2 decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + sqrt(3) - (sqrt(3) - sqrt(21)\/(sqrt(28)\/sqrt(4))).\nAnswer: sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 6:36 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -83469867, -166939743, -250409619?\n\"Answer: -83469876*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*q**2 - 35*q**2 + 26*q**4)*(-9 + 9 + 48*q).\nAnswer: 1248*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 16 = 3*r, -4*r = -n - 5*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.477084 micrometers to kilometers.\nAnswer: 0.000000009477084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*z + 5174 + 72*z + 522.\nAnswer: z + 5696","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-30)*(0 + 15). Let l(b) = b**2 - 8*b - 7. Let v be l(u). Let o(y) = -100*y**2. Let k be o(v). What is k rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 531 and 288097?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 1568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*z + 28, -z = 17*p - 12*p + 1. Let a = 548\/7 - 78. What is the nearest to 1\/2 in -2\/7, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 8. Let y be w(-4). Suppose -3*s + 15 = 0, -3*o + y*o = s + 30. Suppose 4*c - o = -k, 3*c + 53 + 6 = 2*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.44112232 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-4)*0)\/(-1). Suppose 5*z + 44 + 91 = y. Is (2 - (z - 2)) + 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12396899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b = 9. Let g(a) = a - 8. Let k(y) = y**2 + y - 8. Let s be k(4). Let d be g(s). Which is smaller: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.227016 to three decimal places.\nAnswer: 0.227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15821 + 15819. Let a(p) be the first derivative of -p**3\/3 + 3*p**2\/2 + 5*p - 15. Give a(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-2)*228\/171\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**4\/4 + 22*h**3\/3 - 37*h**2\/2 - 8*h - 132. What is the tens digit of b(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 295510*n - 5909400.\nAnswer: -2*(n + 20)*(n + 147735)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/20 and 41\/3278.\nAnswer: 32780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 s, and 1 k when four letters picked without replacement from sddjiddbbksi?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 514037*d**3 - 227391 wrt d?\nAnswer: 1542111*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -5*w**6\/3 + 7*w**3\/3 + 4. Find the third derivative of x(y) wrt y.\nAnswer: -600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2, 36, 5, 3\/11 in descending order.\nAnswer: 36, 5, 3\/11, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*n**2 - 28*n**2 + 35*n**3 + 62*n**2.\nAnswer: 35*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*d = -p + 222*d + 490, 0 = 4*p + 5*d - 1924. Calculate the least common multiple of p and 19.\nAnswer: 9234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 187524?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 190406 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 14*j - 41. Let d be w(9). Solve 1 = -u - d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -3 - 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - 2)\/((-57)\/4579)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 700 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 15 + 15 = 0. Suppose 620000 = m*x - x. Round x to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 2396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 4. Let u(z) be the third derivative of z**6\/360 - z**5\/24 + z**4\/8 + 8*z**2. Let h(a) be the second derivative of u(a). Give 2*h(n) - 3*q(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**2. Let p be 10\/4 + (-1)\/(-2). Let y(s) be the first derivative of -s**2 + 0 + 0*s**2 + p - 2. Calculate a(y(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 888420480073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wiis when four letters picked without replacement from ttwttiisitsisstii?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(153)*2)\/(-3*sqrt(1296)).\nAnswer: 5*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2694*i + 4*r + 30 = 2689*i, 0 = -3*i - 3*r - 21. Put -1\/24, i, -1\/6, -11\/5 in decreasing order.\nAnswer: -1\/24, -1\/6, i, -11\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**6\/180 + x**5\/90 - x**4\/36 - x**3\/9 + 13*x**2 - 3*x. Factor d(h).\nAnswer: 2*(h - 1)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -235.8 + 286. Let t = -50 + s. Sort 1, -1\/2, t in decreasing order.\nAnswer: 1, t, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 175*j**4\/24 + 455*j**3\/6 - 467*j**2. What is the first derivative of o(b) wrt b?\nAnswer: 175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2575077236?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 12 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 5. Suppose -1177 = -2*w + 123. Suppose -2*k = g*k - w. What is the greatest common divisor of 26 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 + 432\/(-42). Let y be (l\/(-8))\/((-2)\/(-8)). Let a be 4697 + (-5)\/(y\/(-3)). Round a to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2784723600 to the power of 1\/4, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*4\/(-2)*2232\/2976.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f + 40*f = -63 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(245)) + sqrt(245))**2 + (((sqrt(125)*-1 - sqrt(125)) + sqrt(125))**2 - sqrt(5)) + (sqrt(5) + -1)**2 + 1.\nAnswer: -31*sqrt(5) + 1113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -1061*i**3 - 7*i**2 - 2*i + 1. Is b(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 244\/39 + -19\/3. Let l = -14 + 27\/2. Are b and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 74 (b) 3 (c) 1\/3 (d) -5337 (e) 1 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 163583979 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 306297*b**3 + 14*b**2 - 4*b + 528 wrt b.\nAnswer: 1837782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -24*u - 7. Let o(m) be the first derivative of 4*m**2 + 3498. Give o(q(r)).\nAnswer: -192*r - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 256487966 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -1825*p**3 - 1823*p**3 + 5*p**2 + 3647*p**3 - p**2 - 3*p = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 28 = 3*z, 0 = 2*d - d + 2. Suppose 0 = -46*h + 391 + 1044 - 285. Let f(l) = 2*l**3 - 7*l**2 - 4*l. Let i be f(4). Solve i = -q + z*q + h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 196*k**3*o**2 - 21264*k**3 + 4977*k**2*o**3 + 24*k**2 - k with respect to o.\nAnswer: 392*k**3*o + 14931*k**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.1, 4\/7, 1\/7, -2\/11, -1631, -70\/11, 1\/9?\nAnswer: -1631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*z - 48*z + 95*z + 4)*(-2 + 0 + 1).\nAnswer: -z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-5)\/(-24)*18\/20?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 + -171 - ((-7 - -3) + (0 - -5 - 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27217325*c**3 - 8*c**2 - c + 631934.\nAnswer: 163303950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20835397 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8208344*i*l*r**2 - 13*i*l*r - 2*i*l - 103*i*r + 17*l - 18*r**2 + 153 wrt r?\nAnswer: 16416688*i*l - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 43926*b + 160791123.\nAnswer: 3*(b + 7321)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 113041040?\nAnswer: 113041100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*g = -55*g - 530 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -1, -85, -2, 351, 2 in decreasing order.\nAnswer: 351, 2, 0, -1, -2, -5, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q + 29 - 7\/2*q**2. What is u(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 w, and 2 u when four letters picked without replacement from guwccuwn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {s: 3, l: 3, g: 2, d: 4, u: 6, p: 1}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -25.7. Which is the third smallest value? (a) -0.1 (b) g (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 45. Let r(d) = -d**3 + 10*d**2 - 9*d + 2. Let u be r(9). Solve g*v - u = 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chc. What is prob of sequence chc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15.1 in -14, 1\/2, -46?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 - 56 - k + 4*k + 55. Let w(r) = r - 1. Give -2*w(v) + y(v).\nAnswer: -3*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*q - 788 - 119 = -228*q + 157 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-22))**(-2\/19)*((v**(9\/8)*v*v)\/v)\/v*v*(v*v*v\/v**(4\/33))\/v*v assuming v is positive.\nAnswer: v**(12955\/5016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1 + 1 - q. Let u(k) be the second derivative of 2\/3*k**3 + 0*k**2 + 5*k + 0. What is u(f(v))?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-7 - 25\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/1661296 and 1\/29666.\nAnswer: 1661296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a + 390 = 17*a. Suppose -242*v**3 + 125*v**4 - a*v**2 + 67*v**3 + 95*v - 986 + 976 = 0. Calculate v.\nAnswer: -1, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/35 and -173\/300.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 1:24 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c**5\/3 + 110*c**4\/3 - 277*c**3\/3 + 176*c**2\/3 - c\/3 - 16\/3 = 0 for c.\nAnswer: -16, -1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7990 greater than or equal to -8962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/3)\/(((-5)\/7)\/5). Suppose -16*i = -4*d - l*i + 61, 5*d - 2*i = 35. Calculate the remainder when 67 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 17*l + 40. Let a be u(5). Calculate the remainder when (a\/15 - 0)*243 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68605.\nAnswer: 5, 13721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -78, -104, -116, -108, -74, -8?\n\"Answer: d**3 + d**2 - 36*d - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/6)\/((-8855)\/462).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-4)\/4*(-3 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -6*j**5 - 2*j**4 + 64*j**3 - 88*j**2 + 32*j = 0.\nAnswer: -4, 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 4 = -2*r. Put r, 0, 0.4 in ascending order.\nAnswer: r, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*-1*2.\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -195*p**3 - 816*p**2 - 107*p - 427. What is v(-4)?\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from catataiccctcc.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19100372 divided by -4?\nAnswer: 4775093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 0*c**2 + 0 - 10*c + 11\/6*c**3 - 1\/6*c**4. Find the second derivative of j(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-688675.41\nAnswer: 2066026.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/3*(-1 + 4 + -6). Solve -2*w = -3*c + 7, -2*c + v = 4*w - 0*c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -22, -2, 26?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f + 10*f + 8*f + 9*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -13*f**3 + 2*f - 3. What is the units digit of d(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbko when four letters picked without replacement from {k: 1, m: 3, b: 2, o: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141638 is divided by 28326?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlep when four letters picked without replacement from {z: 5, e: 1, d: 2, l: 7, p: 1}?\nAnswer: 1\/1248","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 6. Let l(n) = 5*n**2 + 8*n. Let g be l(-4). Let s = -12 + 55. Let o = g - s. Give z(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*a + 30 = 0, b + a = -3*a + 17. Let f(y) be the first derivative of 3*y**2\/2 - 4*y - 2. Calculate f(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqq when three letters picked without replacement from {y: 1, x: 3, v: 2, s: 1, i: 4, q: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 20407957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369044205 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31376 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2037200?\nAnswer: 2, 5, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1618, 1647, 1682, 1729, 1794, 1883?\n\"Answer: m**3 - 3*m**2 + 31*m + 1589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41\/340 + -3\/20. Is j less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177961727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a meter in centimeters?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 126.893 - 127. What is l rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193907 - 193907 - 17*c.\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 8:19 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9006*g**5 + 19*g**2 + 11*g + 4?\nAnswer: -540360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -26*2\/(2*-1). Let b = z - -59. Let q(v) = -25*v - 41. Let s be q(-3). Calculate the greatest common factor of s and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 - 11*o**2 - 2*o. Let s(j) = -j**3 - j**2 - j. Let f(v) = -a(v) + 2*s(v). Let p be f(-9). Solve 2*u - 4 + 0 = p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-75))\/((-36)\/80*10\/15).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -178776*x**5 + 274705*x**2.\nAnswer: -10726560*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 25.8?\nAnswer: -26.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*b - 7*b + 8*b)*(1 + 1 + 0) + (0*b - b + 2*b)*(-2 + 5 - 4))*(-2*b**3 - 2*b + 2*b).\nAnswer: -30*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44\/21969 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*n + 8, f = -4*f + 2*n - 4. Let k = 50 - 46. Solve 0 = -4*l - f*l - k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 3663 + 7236 = 3701 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/6189 and 5\/4227?\nAnswer: 8720301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from {v: 3, e: 2, j: 1, i: 3, f: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*q + 22*q + 45198 = -140*q + 41*q for q.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-41)\/((u\/u**(-2\/25))\/u*u*u**8) assuming u is positive.\nAnswer: u**(-227\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -170003, -1359994, -4589961, -10879892, -21249775, -36719598, -58309349, -87039016?\n\"Answer: -169998*m**3 - 5*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18296 * -16\nAnswer: -292736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 36 = 86*v - 89*v, 0 = -2*v - 2*p + 22. Let r(u) = -u**2 + 16*u - 16. Give r(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4\/3 - 13*s**3\/3 - 199*s**2\/3 + 673*s\/3 - 154 = 0.\nAnswer: -11, 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3 - 1\/10*k**2 - 17\/10*k = 0. What is k?\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4494929 is divided by 1166.\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 <= 3491\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 30 = -2*x. Let z be (15\/6 + -1)*(-200)\/(-30). Suppose -6*h = -z*h + 16. Solve -h*v = -2*v - x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 + 10*u - 1. Let y(j) = -j**2 + 9*j. Let k(b) = 2*d(b) - 3*y(b). Give k(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**9*(b*b*b**(2\/15)*b)\/((((b\/(b*b**(-1\/6)))\/b*b)\/b)\/b))**(2\/113) assuming b is positive.\nAnswer: b**(149\/1695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17422 and 1158563.\nAnswer: 2317126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*d**2 + 38312*d + 270 - 2*d**2 - 38301*d wrt d.\nAnswer: -16*d + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 2*l + 2*l)*(-l + 4*l - l) + (6 + 1 - 2*l**2 - 4)*(-26*l + 22*l - 33*l) - 3*l**3 - 2*l**3 + 13*l**3.\nAnswer: 80*l**3 - 111*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 greater than 10.6693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n + 164 - 518. What is n rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -77. What is the third derivative of -6*i**f + 115*i**2 + 29*i**4 + 21*i**4 - 48*i**4 + 6*i**3 wrt i?\nAnswer: 48*i + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -185416 - -8161201\/44. Let w = 1014\/35 + 23916\/385. Let h = w - m. Calculate the common denominator of -17\/16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 349372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -ba61?\nAnswer: -ba60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/289837 or 0?\nAnswer: 1\/289837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.38128 years to months.\nAnswer: 232.57536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/28 and 19\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/5 - 12544*b\/5 + 894396\/5.\nAnswer: 4*(b - 3063)*(b - 73)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -37, -2\/13, -0.4, 1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -34. Let i = 29.4 + g. Round i to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 41166, -3\/122, 6, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.3 (c) 5 (d) 0.4 (e) -2\/9305\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*g - 152*g - 2*g**3 + 78*g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1145632 (base 8) to base 3\nAnswer: 120222002111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -1\/4 (b) -2\/7 (c) 1112 (d) 0.5 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/3 (b) -2 (c) -1040 (d) -0.36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 7*x**2 - 6*x + 4. Calculate m(6).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 17, s: 1}. What is prob of picking 1 v and 1 s?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*c - 2*y - 3, 5*y - 2 = -c. Is c < 1.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + -40. Let q = -51 - b. What is the closest to -0.6 in 3, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -595, -1354, -2371, -3754, -5611, -8050, -11179?\nAnswer: -15106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -25*p**2 - 4*p - 22. Let b(k) = 8*k**2 - k + 3. Let y(u) = 3*b(u) + x(u). What is y(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 2\/11 (c) 1\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 - 4 = 0. Suppose -k*g - c + 48 = -2*c, 3*g - 32 = -c. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44004, -88007, -132010?\nAnswer: -176013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-286704)\/39820*1\/(-4)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330 and 726.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -3*f + 58. What is the remainder when f is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*s + 293 = -4*n, n = 3*s - 846. Let v(u) = 24*u + 119. Let g be v(3). Let t = s - g. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -942, -1374, -786, 1332, 5490, 12198, 21966?\nAnswer: 35304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4.4, -5, 625, -2, -3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*2 - 392\/(-63). Let i(m) = -3*m**2 - 1. Let a be i(1). Let q be (a\/20)\/((-1)\/4). What is the smallest value in b, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2 - q**2 - 3 + 4*q + 7. Let g be o(4). Factor 21\/4*h**g - 15\/4*h - 9\/4*h**3 + 3\/4.\nAnswer: -3*(h - 1)**2*(3*h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 6*n**2 - n + 18. What is b(3)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**20)\/y)**(-3\/5))**(31\/3) assuming y is positive.\nAnswer: y**(-124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14695222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 7:48 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -75*c + 1. Let i be q(-1). What is the units digit of 0 - (-1*i - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 442 + -31024?\nAnswer: -30252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3959095 to the nearest integer?\nAnswer: 1990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 9. Suppose j + q*j = 30. What is the remainder when 24 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.909135 to 3 dps.\nAnswer: -13.909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -535, -532, -527, -520, -511, -500, -487?\n\"Answer: x**2 - 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-246175)\/(-10) + (-6)\/4. Let c = -13965 + s. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.7 + 2.7. Let y = 3.4 + 0.6. Let l = 3.7 - y. Which is the biggest value? (a) 0.5 (b) l (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 15. Let z be r(6). Let m(x) = -x**3 - 54*x**2 + 113*x + 71. Let b be m(-56). Sort 0, b, z in descending order.\nAnswer: b, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 333 and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.33 and 89118760149?\nAnswer: 89118760140.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 - 268.08?\nAnswer: -267.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6722813374 to the nearest integer?\nAnswer: 1887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1076\/7 + 154. Let r be ((-6)\/(-4))\/(5\/10). Factor -h*p**4 + 6\/7*p**5 + 0*p + 0 + 0*p**2 + 0*p**r.\nAnswer: 2*p**4*(3*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbisisbsbbbbib. Give prob of picking 2 s and 2 i.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10, -4, 14, 44, 86, 140, 206?\n\"Answer: 6*w**2 - 12*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270660 and 622518.\nAnswer: 6225180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10943 and 1116?\nAnswer: 393948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-70)\/125)\/((-238)\/340). Solve -8\/5*w**2 + 0*w + 6\/5*w**4 - o*w**3 + 4\/5*w**5 + 2\/5 = 0 for w.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*(0*r**2 - 3*r**2 + r**2) + 43*r**2 + 48*r**2 - 143*r**2 - 4*r**2 + 3*r**2 + 2*r**2 in the form f*r + d*r**2 + l and give d.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) - (sqrt(2057) + (5 + -2*sqrt(2057) + sqrt(2057) - sqrt(2057)))) + -1*sqrt(2057)*-2)**2*-1.\nAnswer: -32937 + 440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 12:25 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24\/30631 + 92229725\/275679. Suppose 0*r + 1986 = -6*r. Let u = r + g. What is the common denominator of u and -16\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1639*q**3 + 2029*q**3 - 408*q**3.\nAnswer: -18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 345161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + 8 - (-170 - -175).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 143799 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than -227631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 + -26.5. Let y = -17 + o. Let v = -3 + y. Which is the smallest value? (a) -4 (b) 2\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 4. Let c be 8\/(-6)*(-6 - s). Suppose 0*q + c = 3*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-4\/7)*x**5*x\/(x*(x\/x**4)\/x)*x**(-2\/19)\/x*x assuming x is positive.\nAnswer: x**(1240\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1357325\/87 - -15601. Let a = 156629\/90 - 15620\/9. Find the common denominator of a and g.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 - 1. Let m(w) = -w**2 + 7*w + 11. Let s be m(9). Let q be (-30)\/(-34) - (s + 8). Which is the nearest to p? (a) 0.5 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-2*sqrt(90) - sqrt(90)))\/(-2*sqrt(160)))\/(sqrt(30)\/sqrt(90) - sqrt(27)\/(-3*sqrt(9))).\nAnswer: 9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111020 - 112011?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5782\/89 (b) 1\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85 - -5 - (-19 - (-15 + 5))) + -22 + 9?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -13718.\nAnswer: -150898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0595 + -4.9405. What is the nearest to z in 2\/7, 2\/3, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 3*m + m)*(-1 - m + 1 - 1).\nAnswer: -m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -b55 (base 13) in base 16?\nAnswer: -789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, l: 2, x: 1, z: 4}. Give prob of sequence uuz.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 h, 1 z, and 1 s when four letters picked without replacement from {s: 2, g: 1, f: 1, h: 1, z: 1, i: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*y**3 - 237*y**2 + 237*y**2)*(-69 + 52 + 249).\nAnswer: -5104*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + 1*sqrt(288) + sqrt(288) + sqrt(288) + -1 + -2 + (sqrt(288)*-3 + 4 - 2*sqrt(288)*1)))**2.\nAnswer: -240*sqrt(2) + 1177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 >= 319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**3 + z**2 - 77*z + 4. Determine n(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2492 and 37.\nAnswer: 2529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006109 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**10\/5040 - a**6\/360 - a**3\/6 + 2*a**2. Let x(w) be the first derivative of o(w). Find the third derivative of x(q) wrt q.\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2669 - -2674. Solve 14 = -3*u - f, -t*u + 0*u = -3*f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*m**2 + 0)*(3 + 1 - 2) + (-3 + 3 + 3*m)*(-17*m + 12*m + 10*m)*(1 - 2 + 3) - 2*m - 2*m**2 + 2*m.\nAnswer: 34*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = q - 3604, q = -3*q + 5*t + 14433. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**3 - 38385*k**2 + 108043650*k = 0. Calculate k.\nAnswer: -9867, 0, 2190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmmmqmei. Give prob of sequence qrmr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 2*s**5\/15 + 4*s**2 + 39*s - 1. Let v(r) be the first derivative of c(r). Let t(u) = 2*u + 3*u**2 - 2*u. Determine t(v(q)).\nAnswer: 192*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73017569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -43bb + d?\nAnswer: -43ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -5, -47, 194 in increasing order.\nAnswer: -47, -5, 33, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**3 - 1\/60*v**5 - 5\/12*v**4 + 0 - 19*v**2 + 0*v. What is g(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 0, -17572, -2, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c*m**4 - 3870*c*m**3 + 42320*c*m**2 + c - 2*m**5 - m**2 wrt m.\nAnswer: 120*c*m - 23220*c - 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-63) - 78\/(-27). Suppose -t*f + 7*f - 180 = -4*z, 3*z = 5*f - 225. What is the lowest common multiple of 63 and f?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 + 1. Let g(j) = 5*j**3 + 21*j**2 - 8*j - 3. Let n(v) = g(v) - 5*x(v). Let q(i) = 3*i**3 + 4*i**2 - 5*i - 5. What is -5*n(a) + 8*q(a)?\nAnswer: -a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001011011111 - -100101111?\nAnswer: -10000110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1181 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -168, -335, -500, -663, -824, -983?\n\"Answer: d**2 - 170*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126 (base 14) to base 12.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-147)\/(-9) + 4\/(-12). Solve -4*c + h = -16, c + 3*c - i = 4*h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -312*j**2 + 12*j - 48. Let z be l(-11). Find the common denominator of -31\/12 and z\/(-783)*(-1)\/(-24).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 4*u + 2 - 2 + 3. Let j(i) = 7*i - 2*i + i - 2 + 12. Determine 5*j(s) - 16*w(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n - 2*n)*(-87 - 68 + 90).\nAnswer: -65*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 2608?\nAnswer: 13040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -10*h + 4. Let u(l) = 25*l - 4 - 24*l - l**2 + 3. Let m(s) = 4*s**2 - 3*s + 3. Let w(x) = -m(x) - 3*u(x). Calculate b(w(j)).\nAnswer: 10*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 9458640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6501240 and 32040.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.838 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 7:52 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -737636 + 6?\nAnswer: -737630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-2)\/u))**(-15))**(1\/15)\/((u**(-2\/9)\/u*u)**(-5)\/(u\/u**(-2\/7))**10) assuming u is positive.\nAnswer: u**(488\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m. Let h be d(1). Suppose h*p = 1209 - 279. Suppose -8*k + 11*k = p. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2) - 3\/(45\/10)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -169 + 202 - (14 + 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkk. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 2:56 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -820 - -118. Let m = -698 - z. Solve 4*v + m = 8*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + p**2 + 12*p + 19. What is the least common multiple of k(-2) and 889?\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a - 122. Let t be y(-23). Let v(p) = p**2 + p - 1. Determine v(t).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*a = 112*a. Suppose -5*q + 9*q = 8. Factor 0*c**4 + a*c - 1\/5*c**3 + 0 + 0*c**q + 1\/5*c**5.\nAnswer: c**3*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 620 divided by -4\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1664194 is divided by 18491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75 - -74.849. Let k = d + -1.459. Round k to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -8\/3*t**3 - 4*t**4 - 9\/5*t**5 + 0 - 4\/15*t**6 + 0*t**2 + 2*t. Factor g(o).\nAnswer: -4*o*(o + 2)**2*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 48*g**2 - 33*g + 33. Let y(n) = 3*n**2 - 2*n + 2. Let x(d) = -2*f(d) + 33*y(d). Let a(q) = -2*q**2. What is x(a(c))?\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 9*j - 6. Let b = -8 - 4. Let q be b\/(-42) - (-144)\/(-14). Let h be g(q). What is the highest common divisor of 32 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24500 - 24504. Which is the nearest to -0.3? (a) -8\/15 (b) 4\/9 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4 - 4578*c**3 - 117818*c**2 - 321438*c - 208196 = 0. Calculate c.\nAnswer: -2263, -23, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 3*u**2 - 2*u - 2. Let j be p(-3). Let s = -454 + 430. Let r be (j - (-100)\/s)\/((-1)\/(-4)). Is -0.1 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(864))\/((sqrt(144)\/(sqrt(12) + sqrt(108)) - sqrt(12)) + 4*sqrt(192)) + -3.\nAnswer: -288*sqrt(2)\/61 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/23826 and 35\/1099967.\nAnswer: 6599802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(117) + 0))**2 - (2*sqrt(117)*2)**2.\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -26.316 < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08 + 3.82. Let x = y + 0.1. Let b be -1*(-2)\/(-6)*2. What is the third smallest value in x, -1, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-24)*72\/(-960). Is -23\/3 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*s**3*v*x + 5999473*s**3*v + s**2*v*x + 7*s**2 - 2*v + 113628 wrt s.\nAnswer: 186*v*x + 35996838*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.07, -0.08, -2\/5, 2\/13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 + -0.81.\nAnswer: 19.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 600*p - 44625. Determine m(87).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8391 = 8*i + 17201. Let a be i\/(-4) + 4\/2. Let o = a + -9527\/12. What is the common denominator of o and -127\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*f + 3. Let l be (8\/15)\/(f\/(-3)). Suppose -4*m + 7*m = -5*t - 5, -4*m - 2*t - 2 = 0. Is l <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) 0.49 (b) 1\/4 (c) -2.7 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2215, 4, 14 in decreasing order.\nAnswer: 2215, 14, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u. Let g(a) = -2*a - 11. Let q be g(-7). Let k be 1*q + (-168)\/(-24). Let i(r) = -r + 12*r - k*r - 8*r. Calculate i(n(t)).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 244\/12 - (2 + (-52)\/24). Is 20 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*(-336)\/60*(-19)\/247*-26.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 184\/4*((-65)\/26)\/((-15)\/3).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15933.1 and 0.13.\nAnswer: 2071.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 535294614?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -5*t + t + 207 - 212, 2*z + 30 = 4*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11513.9 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57315.81 milligrams to grams.\nAnswer: 57.31581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 3. Suppose k = 2*i + 2*i. What is the third derivative of 4*y**i - y**3 - 2*y**2 - 2*y**3 wrt y?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 555 or 553?\nAnswer: 553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 4*j + 35. Let n be (-5)\/(-2)*(1 - -1). Suppose 0*x + 11 = x - 5*k, -j*k + 200 = n*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 332 times 0.164\nAnswer: 54.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 749691406457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1670.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5124247631 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 4) in base 8?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbblbbbbbbb. Give prob of sequence bb.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 28371284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(468) + -5 + sqrt(91)\/sqrt(112) + 3)**2 + -3.\nAnswer: -75*sqrt(13)\/2 + 8221\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**4 + 2*w**4 + w**4 + (-3*w**2 - w**2 + 7*w**2)*(7*w - 3*w - 3*w)*(w - 5*w + w) in the form z*w + c + h*w**2 + r*w**4 + g*w**3 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkkcfkcdkk. Give prob of picking 1 f and 1 c.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7790 (base 13) to base 6\nAnswer: -205115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3058972.\nAnswer: 2, 7, 15607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2916 - 2912. Which is the closest to d? (a) -3 (b) 0 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 80*g**2 - 24*g**2 - 24*g**2 - 18*g**2 - 17*g**2 + 2*g. Let q(s) = 3*s**2 - 3*s. Calculate -6*c(z) - 4*q(z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2960 and 29320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1. Let z = 101 - 94. Let d(b) = b**2 - b - 41. Let p be d(z). What is the highest common factor of t and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/9)*n*n**(-2)*n*n**6\/n**(-1\/2))\/((n*n**(-2\/5))\/(n*(n**(-1\/4)*n)\/n*n)*(((n*n**(2\/3))\/n)\/n)\/n*n**(-4\/7)\/n) assuming n is positive.\nAnswer: n**(13019\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 7*d = -4*i + 23, 4*i - 5*d = -17. Suppose 4*m - 2*r - 7446 = 0, -2*r + 0 = i. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - -23. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = 10. Suppose 3*w + 788 = z*o, -5*o = w - 136 - 648. List the prime factors of o + (11 + -13)*(-1 - 0).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(((-16)\/(-4))\/4)*13. Suppose -10 = t - l. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -3 + -10 + 12. Which is the third smallest value? (a) -12 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 649 - 750. Let i be 395\/3 + 2\/6. Let q = i + c. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 49691, 49779, 49867?\n\"Answer: 88*z + 49603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + -5 + (2*1*sqrt(1573))**2 + (2*6*1*sqrt(1573))**2.\nAnswer: 232792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/32 and -49\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, y: 3}. Give prob of sequence ry.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000596626763 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**6\/30 + 3*a**5\/2 + 97*a**3\/6 + 59*a. Find the second derivative of g(i) wrt i.\nAnswer: -12*i**2 + 180*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 5:56 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.1, 3, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -447.811.\nAnswer: 179.1244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 276624?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 - -10. Let a = -73 - q. Solve 5*n + a = l + 21, 0 = 5*n - 3*l - 21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 64 = d + 1, -d + 5*o = 33. Let f = 303 + -213. Calculate the lowest common multiple of f and d.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 512821*q**4 + 3821*q**2 - 42.\nAnswer: 12307704*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 25. Let t be (30\/(-4))\/(x\/16). What are the prime factors of (-3)\/(27\/t)*18?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 708?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -5*k + 80, -2732340*k - 141 = 5*g - 2732336*k for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**3 - 3*r**3 + 2 + 4 + 3 with respect to r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 233, 543, 831, 1085, 1293?\n\"Answer: -2*n**3 + n**2 + 321*n - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -10*u**2 + 85. Let l(y) = -44*y**2 + 339. Calculate -9*d(t) + 2*l(t).\nAnswer: 2*t**2 - 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 + 9*x**3)*(9*x**2 + 28*x**2 + 58*x**2).\nAnswer: 855*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from tzzllnzilztztzli.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4816726 + 1.862.\nAnswer: -4816724.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, -2\/19, -4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 165726038 or 165726037?\nAnswer: 165726037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**3 - 10*t**2 + 14*t - 9. Let x be m(8). Suppose 0 = 2*z - x + 519. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d. Let a = 3 + -1. Let y(p) = 0*p**2 - a*p**2 - 9*p**2. Determine y(m(w)).\nAnswer: -44*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 248 + -238. Solve o + y = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 1:09 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 + 50. Let o be (3\/6)\/(4\/n). Which is greater: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**5 + 1785*k**4 - 10570*k**3 + 14040*k**2 = 0.\nAnswer: 0, 2, 4, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -g + 24, 4*s + g - 13 - 20 = 0. Let j be -3*(-6)\/s - 130. Round j to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + 1. Let n(d) = d**3 - 8*d**2 - 10*d + 9. Let i be n(m). Sort i, -1, 5.\nAnswer: -1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/20*(2 + -22). Let a be 6330\/105 + 4\/(-14). What is the highest common factor of g and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 18*v**4 - 51*v**3 - 117*v**2 + 126*v + 24 = 0?\nAnswer: -2, -1\/6, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181 - 83 - 8*j**2 - j**2 - 98.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -147*z**3 - 2*z + 2. Let m be b(1). Let w = 90 - m. What is the remainder when w is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3172, -13013, -29402, -52327, -81776, -117737?\n\"Answer: 2*q**3 - 3286*q**2 + 3*q + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l + 13. Let s be w(-4). Let k be 4\/(-14) + 651\/s. Solve 5*i + 7 = -k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 1:08 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13*k - 8. Calculate b(-4).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33 - -1645440?\nAnswer: 1645406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/6))**(-39)*z**(2\/37)*z**2 assuming z is positive.\nAnswer: z**(633\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 441405 divided by -8655\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -123*p + 1. Let y(c) = 244*c - 1. What is 3*y(x) + 5*z(x)?\nAnswer: 117*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 22 (c) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 24 = -3*v, 5*v - 4 - 2 = n. Let l(w) = 7*w**2 + 4*w + 5. Let u(k) = 15*k**2 + 8*k + 11. Give n*u(t) + 13*l(t).\nAnswer: t**2 + 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*q = -5. What is the first derivative of 1 - 2 + 11*i**3 + 8 + q wrt i?\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19921 (base 14) in base 12?\nAnswer: -31689","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - (-4 - -14)) + 73 + -72.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -5, 0.5, -3, -17\/7 in decreasing order.\nAnswer: 0.5, -1\/6, -17\/7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51598.\nAnswer: 2, 25799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-12) + (-692)\/(-12). Find the second derivative of -54*l - u*l - 6 - 32*l**4 + 110*l + 23 + 2*l**5 wrt l.\nAnswer: 40*l**3 - 384*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2194 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 8:54 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12717544.\nAnswer: 2, 7, 29, 41, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 3*n. Suppose -3*v = 8 + 7. Let s = 145 - 156. Let f = v - s. Let m(b) = 2*b**3 - 5*b. Calculate f*m(h) - 10*u(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(480\/12420)*928\/(-174).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 1:16 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 774354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**5 + 2*p**4 - 5*p**4 - 2*p**5 + (-2 - 1 + 5)*(2*p + 2*p**5 - 2*p) - p**4 + p**4 - 2*p**5.\nAnswer: 4*p**5 - 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 13*m - 12. Let t(w) = -3*w + 1. Let c(o) = -s(o) - 5*t(o). Let n(l) = 2*l + 13. Let z be n(-9). Determine c(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/3 (b) 3136 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzttttttttttt. What is prob of sequence ttt?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5 = -2*p + 7*p, 3*p + 3*l = 0. Sort p, 0, 13, 2.\nAnswer: p, 0, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 325252 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 838? (a) -20 (b) -4 (c) 1 (d) -0.7 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, q: 5, c: 1, i: 2, w: 3}. What is prob of picking 1 q, 1 i, 1 w, and 1 c?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwhwhvhhccmvmhvcdvv. Give prob of picking 1 c and 3 h.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 4*j - j)*(1 + j - 1)*(4*j - 3*j - 3*j) + (4*j - j - 4*j)*(2*j**2 - 2*j**2 - j**2) + 3*j**3 + 0*j + 0*j.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from wwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3916021.\nAnswer: 3916021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -18187*o + 563721. Calculate n(31).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -809.257 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 36. Let t(y) be the first derivative of 3*y + 6 + 1\/9*y**n + y**2. Factor t(k).\nAnswer: (k + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78000 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(-3*sqrt(10)*1))\/(sqrt(486)*-2 - (2*sqrt(30))\/sqrt(5)).\nAnswer: sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtshryhtj. What is prob of picking 1 j and 1 t?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 4*r**2 - r + 1. Let z be c(4). Let h be 0 - (z - 0 - 0). Suppose -i + 4 = h*i. What is the highest common factor of i and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdud when four letters picked without replacement from {d: 6, s: 2, g: 4, e: 1, b: 2, u: 4}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1.8, 0.43, -1453.\nAnswer: -1453, -1.8, 0, 0.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10*-94\nAnswer: -940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1300, 1261, 1220, 1177, 1132?\n\"Answer: -u**2 - 36*u + 1337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 24, -3, 1, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -27*i + 20 + 153 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Calculate the greatest common factor of 3 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d + 21. Let k be c(-6). Find the second derivative of 8*z**k + 10*z**3 - 8*z - 15*z wrt z.\nAnswer: 108*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18a - 15d?\nAnswer: -2e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4155 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 10 - 1 = -3*c, m - 21 = 5*c. Let z(r) = r**2 - 21*r + 59. Let o be z(9). What is the least common multiple of (-7)\/(98\/(-48)) + (-28)\/o and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w**3 - 3*w + 167 - 165 + w**4 - 4*w**2 + 2*w**2 + 6*w in the form y*w**2 + r*w**4 + i + p*w + l*w**3 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32\/159 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 13*k + k)*(-147*k**4 + 35 + 26 + 148*k**4).\nAnswer: 15*k**5 + 915*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 12:36 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -12*l - 4. Suppose -c + l = -9. Let i = -170 + 269. What is the greatest common factor of i and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -10*z - 1. Suppose 3*r + 2 = 11. Suppose -2 = 5*o - r*o. Does 7 divide h(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 9 - 4*l + 4*l - 18. Let z be j(7). Let m(h) = -4*h + 3. Let g(p) = 7*p - 5. Let n(u) = -3*g(u) - 5*m(u). Give n(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.41978 milligrams to tonnes.\nAnswer: 0.00000006641978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.6 - -14. Let h = o - 2.4. What is the closest to 1 in 0.2, h, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 0)\/(9*7\/(-147)). Let x(y) = y. Let l(d) = 4*d + 9. Let f(j) = l(j) + 4*x(j). Let h(r) = 4*r + 4. Calculate b*h(z) - 3*f(z).\nAnswer: 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 90281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20, -88, -224, -446, -772, -1220, -1808, -2554?\n\"Answer: -3*j**3 - 16*j**2 + j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50907 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.3914188 to 1 decimal place.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 16 + 18 - 451*y**2 + 24 - 57. Let w(h) = 3*h**2. Determine r(w(g)).\nAnswer: -4059*g**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 389707 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -72*y - 2329. Calculate h(-32).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 6. What is the tens digit of (-2 - d) + 1 + 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0. Let k be (-24)\/(-84) - 114\/56. What is the third smallest value in -0.4, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/6095464 and 77\/6095464?\nAnswer: 6095464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101265.007 + -94670.16. Let o = r - 6592. Let s = -2.9 + o. Round s to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*b + 3. Suppose 5*s - s = 0. Let h(v) = -v - 3. Let n be h(-5). Sort s, n, b in descending order.\nAnswer: b, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54 + 21?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2300 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2520, 0, 2, -2\/11, 18, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*i**4 - i**4 - 2*i**4 + (-12*i + 2*i**2 + 12*i)*(-2*i - i**2 + 2*i) - i**4 + 14*i**4 + i**4 as j + p*i**3 + w*i + d*i**4 + a*i**2 and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 21*i**2 + 3267*i - 404. Determine f(-156).\nAnswer: 1000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 57*w. Let g(d) = 15*d. Let p(h) = -15*g(h) + 4*l(h). Let x(c) = -7*c - 2. Give x(p(s)).\nAnswer: -21*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2615 times -0.1?\nAnswer: 0.02615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 3, 1, 4, -109 in descending order.\nAnswer: 20, 4, 3, 1, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ssjhhhhuuuhhzshhs.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 954 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-64))\/((-3)\/(-11)) - (-10)\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 5*t**2 - 7*t + 5. Let m be z(6). Let x = m - -9. Which is smaller: 9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552017519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12354 is divided by 453?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 7*o - 1 = 10*o, 0 = -3*o - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4959 - -8485. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4301369 and 3.6636667.\nAnswer: 4301372.6636667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -2*c - 2*o + 1, 0 = 5*c - 5*o + 75. List the prime factors of (-3 - c\/6)*-24.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*n + 1)*(2*n + 0*n - 3*n) + 0*n + 2*n**2 + 0*n + 0 + 0 - 3*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 5*r. Let g be 15*(-1)\/((-20)\/(-8)). Determine k(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1517, -3035, -4553, -6071?\nAnswer: -7589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (sqrt(540) + sqrt(540)*-1 + sqrt(540) + sqrt(540))\/(sqrt(180)\/sqrt(4))).\nAnswer: -20*sqrt(3) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 193, 13.\nAnswer: -1, 13, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 divided by -11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 + 0.8. Let r = 136.141 - 136. Let f = 0.041 - r. Which is the third smallest value? (a) p (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*d + 23 + 19. Let t(z) = 17*z**3 + 2*z**2 - 4*z + 2. Is t(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/91*-53 - 24\/(-56)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -503, -1241, -2267, -3569, -5135, -6953?\nAnswer: -9011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 4)*(-2 + 2 - b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**2\/5 + 218853*m\/5 - 22093952\/5 = 0.\nAnswer: 101, 218752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3 - 6*a - 6.\nAnswer: -6*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0*x + 4*u + 199, 0 = 5*x + 5*u - 895. Suppose -5*q + x = 8. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16699.909 - 32.909. Let x = k + -16621.998. Let w = x + -45. Round w to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18508*d**3 + 2*d**2 - d - 5387 wrt d?\nAnswer: 111048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f - 14. Let d be q(-6). What is the third derivative of 7*u**2 - 15*u**2 - u**4 + 0*u**d wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k = -285 + 515 - 131 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12090 + -12089. Put j, -8, -0.3, 77 in descending order.\nAnswer: 77, j, -0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/((4466\/(-168))\/(-29)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -8*m**2 - 11*m**2 - 138*m + 210*m - 19*m**2 + m**3 + 42. Is 3 a factor of z(36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1235, 2456, 3675, 4892, 6107?\nAnswer: 7320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 4*f + 4, -4*f = -6*o + o - 41 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/22*2*(-2)\/27\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n = -23*n + 2*z + 6, 3*z = -2*n - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -400 divided by 5\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5\/3 (b) 0.4 (c) -4 (d) -13 (e) 120\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13053 and 2983?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, j: 1, k: 4}. What is prob of sequence kks?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7853.48136 rounded to the nearest one hundred?\nAnswer: 7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 628.5 - 629.5. Let w = -0.8 - -3.8. What is the second biggest value in b, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/12 - 301\/(-42). Let v(k) = -3*k + 24. Let s be v(q). Solve -5*b - 5 = -w, 3*b + 15 = -0*w + s*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 2\/961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21929134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 113*z. Let p(s) = -8763*s. Calculate q(p(f)).\nAnswer: -990219*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 310020?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1008 and 84.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5713 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -73623 and -73624 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = w - 5*w. Let u(n) = n**2 + n - 1. Let j(m) be the third derivative of -m**5\/60 - m**4\/6 + 5*m**3\/6 - 24*m**2 + 84. What is w*j(q) - 2*u(q)?\nAnswer: -q**2 + 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 103111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -974 or -2487?\nAnswer: -2487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16974*1.\nAnswer: 0.16974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8877818 divided by 4?\nAnswer: -4438909\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(17) + (1*sqrt(153) + sqrt(153))**2 + 5 - 3*(sqrt(17) - (6*sqrt(68)\/sqrt(4))**2))*-1*4 + -4.\nAnswer: -19628 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/84)\/(8\/6*(-47)\/6956)?\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -145 + 145 + 3*k**3 + 2*k + 2*k**4 + 25*k**4 - 8*k**4 + 7*k**4 + (10*k**2 - k**2 - 2*k**2)*(0*k**2 + 3*k**2 - 2*k**2).\nAnswer: 33*k**4 + 3*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23944 + 36989. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 3*p**4\/4 + 5*p**3\/3 - 3*p**2 - 2*p - 1. Let k(n) = n**3 - n. Let c(q) = -a(q) + 2*k(q). Does 10 divide c(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*29\/(6351\/6862)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(1400)*-1 - sqrt(1400))*-5)\/(sqrt(343) - -2*-2*sqrt(343)))**2.\nAnswer: 20441\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2) - 259\/(-2)*(-103)\/(-721).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 569986, 1139964, 1709946, 2279938, 2849946, 3419976, 3990034?\nAnswer: 4560126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 8) to base 11\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5738, -11459, -17180, -22901, -28622, -34343?\nAnswer: -40064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(-5)*p))\/p**(-1\/3))\/(p**(-4\/5)\/(p**(-12)\/p)))**(-13) assuming p is positive.\nAnswer: p**(1339\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 + 7*d - 5. Let i(y) = 4*y - 2. What is f(w) - 2*i(w)?\nAnswer: 4*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -18. Do -2\/1159 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-3)\/2*(-14)\/(-21)). Suppose 2*v + 3 = -c. Let w = 0.06 - 0.46. What is the biggest value in w, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -40, -68, -96, -124, -152, -180?\n\"Answer: -28*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 1:19 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 + 52. Suppose f = -d + 381 + 1004. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -115873494 and -26?\nAnswer: 115873468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**3\/6 - s**2\/2 + s. List the prime factors of z(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - k = 5*x + 19, -113430*k + 113434*k - 3*x - 2 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8, -19, -14, 19, 92, 217, 406?\n\"Answer: 2*j**3 - 4*j**2 - 13*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-59*i + 54*i - 2 + 3)*(-2*i**2 + 3*i**2 + i**2) as n*i**2 + x*i**3 + r + m*i and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19.3 (b) -2\/17 (c) -0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*x. Suppose q = -x*q + 3. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -0.9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/21 + (-76)\/(-42).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 j when three letters picked without replacement from jjrrrmmrmmrmm?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820503289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 11.6. Let m = -1 + s. Let n = 1.307 - 2.307. What is the smallest value in n, m, -3\/4, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297 = 97*o + 588 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5281751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 94.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.168491581+3522\nAnswer: 3522.168491581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zenn when four letters picked without replacement from fefneafazzanzeeeee.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2126537 and 3363.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/9 + 86*b**4\/9 - 182*b**3\/9 - 86*b**2\/9 + 20*b = 0. What is b?\nAnswer: -45, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*w*x**2 + 136*w*x - 2*x**4 - 6*x**3 - 7*x wrt x?\nAnswer: 84*w - 24*x**2 - 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 + 162*g + 3760. Determine m(76).\nAnswer: -1256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, g: 1, e: 2, m: 2}. What is prob of sequence mm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2067.95 + -1621. What is y rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 481927429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 683*m + 6733 - 911 - m**4 + 4855 - 2*m**4 with respect to m.\nAnswer: -12*m**3 + 683","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -5 (b) 4\/5 (c) 3\/28 (d) 14\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**4\/24 + 5*g**3\/3 + 2*g**2. Suppose -173 = 2*w + 415. Let u be (-2)\/(-5) - w\/(-35). Determine v(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**7\/5040 + w**6\/120 + w**5\/60 - w**2. Let m(q) be the third derivative of b(q). List the prime factors of m(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/1596 and -73\/252?\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -765 + 11474\/15. What is the closest to 0 in -0.3, z, -2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-49) + (-274)\/(-28). Is 11 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v - 25. Let a be f(7). Solve -5*k - l = -6, -2*k + a*l + l = -20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267696 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7373104109 to the nearest integer?\nAnswer: 1946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7947?\nAnswer: 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 21096*z.\nAnswer: 3*z*(z - 7032)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -247539 in descending order.\nAnswer: 6, 1, -247539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 376 + -540. Let c be 2\/((-8)\/m) + -2. Calculate the highest common factor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 3813*x + 214099. Calculate t(-57).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**5)**26)**(8\/7) assuming w is positive.\nAnswer: w**(1040\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*x - 6*x. Suppose -3*f = -5*f. Suppose 3*k + 5*g + 6 = f, -3*k + 5*g + 9 + 15 = 0. Solve v - x*v = -k*a, a = v + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 20*k = -24*k - 3, -k + 33 = 4*i. Suppose -862 - 4169 = -i*m. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*r**2 - 3*r**3 + 140*r - 271*r - 69*r**2 + 131*r.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 81982.15 micrograms?\nAnswer: 81982150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2737, -2, -1, 2 in ascending order.\nAnswer: -2, -1, 2, 2737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 2.6, 3, 11, 46, -6\/37?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24824 divided by -116.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 573\/1086443?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -39*((-32)\/6 + 2). Suppose 2*m - 240 = -3*o - 24, -o = -3*m - 61. Let x = u - o. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 + k + 5\/4.\nAnswer: -(k - 5)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 49*l**2 + l. List the prime factors of d(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 140.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270108479.\nAnswer: 239, 457, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 101 and -38.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**9\/168 - q**7\/14 - 89*q**5\/5 - 5*q**2 + 125*q. What is the third derivative of c(t) wrt t?\nAnswer: -360*t**3 - 360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3992 by -1.\nAnswer: -3992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -115\/6*f**3 + 0*f**4 + 0*f + 0 - 2*f**5 + 72*f**2. Find the first derivative of z(b) wrt b.\nAnswer: -240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.110753 micrograms?\nAnswer: 0.000007110753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.359 + 18.359. What is the biggest value in 0.3, s, -1105?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7384.\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/2)\/((-1)\/29). Suppose 0 = 2*g + 2*z, -g + 4*z = g + 24. Let o = g - c. Calculate the highest common divisor of o and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1050566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1289*k**2*p**2*w + 10*k**2*p*w - 30*k**2*w + k**2 + 2*k*p + w wrt p.\nAnswer: 2578*k**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.1649?\nAnswer: -0.08245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -923, -1844, -2765?\nAnswer: -3686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -74*1*(-2 + -1). Factor -12*u**2 - 4*u**4 + j*u**3 + 0*u - 210*u**3 + 4*u.\nAnswer: -4*u*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*m - 29*m + 159*m)*(1 - 2 - 2)*(-17*m + 31*m - 56*m).\nAnswer: 5922*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 0*s**4 + 1\/168*s**7 + 0*s**2 - 1\/40*s**5 + 0*s**6 - 6*s + 1\/24*s**3 + 0. Factor v(c).\nAnswer: c*(c - 1)**2*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 - 223715674.\nAnswer: -223715673.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*h = 15, -h - 3*h - 12 = 0. Let j be r\/(-2 + (-2)\/2). Solve l = -j + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yygyyhyyygyggy. Give prob of picking 1 h and 1 y.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4 - 0. Let p(z) be the first derivative of -z - 2 + 1\/2*z**2 - 5\/3*z**3. Calculate p(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, t: 7, g: 1}. What is prob of sequence tg?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8*-3)\/(54\/(-180))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**2*p)\/(p\/p**(-1\/2)))**(21\/8)*(p**(-7)\/p**(-1))\/(p**7*p**(2\/3)\/p) assuming p is positive.\nAnswer: p**(-797\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456586617?\nAnswer: 3, 173, 879743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 764 = 5*s. Let t be (-30)\/((-2)\/(-3 + 1)). Let w = t + s. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 497.485616 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r*r*r\/(r\/r**5)*r*r*r**0*r*r**(4\/3)*r*r\/(r*r**8\/r*r) assuming r is positive.\nAnswer: r**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-135)*((-16)\/(-24) - (-62)\/(-66)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 - 82. Solve 2*v + l = n + 1, 5*n + v + 23 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370931 is divided by 6187.\nAnswer: 5898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**2 + 0 + 0)*(4 - 2*u - 4) + 8*u**3 + 4*u**3 - 6*u**3 + (3*u - 7*u - 4*u)*(-1 + 1 + u)*(-2*u + 3 - 3) to v*u + r*u**2 + l*u**3 + c and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.021, -4, 5?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -34459*37\nAnswer: -1274983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k + 117*k + 172 = 664 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 155*i**5 + 770*i**4 + 1370*i**3 + 1040*i**2 + 275*i - 10 = 0.\nAnswer: -2, -1, 1\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22759?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 592\/192 + -2 + -1.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1051667?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + p - 3. Suppose -y - 2 = -4. Let k = -2 + y. Let g be f(k). What is the second smallest value in 3\/7, g, 1\/2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 165?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-5 - -1)*8. Suppose 148 = u*a + 16. What is the greatest common divisor of a and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2267 = -5*k, -4*g + 2988 = -2*k + 4*k. What are the prime factors of g?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.243 + -0.043. Let d = f - -0.8. Let m = 1.563 - 3.563. What is the closest to -2\/5 in d, m, -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19299, -19302, -19305, -19308?\nAnswer: -19311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96849?\nAnswer: 3, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-6\/5))\/y**(-47)*(y\/((y*y*y*y**(-1\/21)\/y)\/y))**18)**47 assuming y is positive.\nAnswer: y**(78396\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 12*x**2 - 10*x + 7. Let g(w) = w**3 + 11*w**2 + 21*w + 16. Let u be g(-9). Calculate f(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0011 + -43.1011. Let s = k - -45. Round s to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -248*j**3*o**2 + 38*j**3 + 46*o**2 - 2*o + 12 wrt j?\nAnswer: -744*j**2*o**2 + 114*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m. Let b(w) = -w. Let c(k) = 6*b(k) - h(k). Let i = 5 - -14. Let g(r) = -i*r + 12*r**2 + 19*r - 4*r**2. Calculate g(c(y)).\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 5*v - 3. Let a be -5*(18\/10 + -1). Calculate x(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 9\/9079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 20 + 107 - 64 = 4*o + 34, -3*o - 2*o + 2*v + 16 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 6*p**2 - 5*p + 3. What is the remainder when c(3) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 20*k**3 + 8*k**2 - 11. Let l(m) = 21*m**3 + 7*m**2 - 9. Give 5*l(n) - 4*o(n).\nAnswer: 25*n**3 + 3*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3917086 + -0.1016991. Let k = -0.334 - -0.044. Let c = k + z. What is c rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1868899*b**5*d*p + 2*b**4*d*p + 120*b**2*d*p + b**2 + 341*b*d*p + b*d - 13*b*p wrt b?\nAnswer: 112133940*b**2*d*p + 48*b*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = a + 3. What is the lowest common multiple of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-49)*6*-1*1400\/(-180)\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/(-9))\/(5\/9*(-5091)\/(-8485))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gppqqpqgxpqqpplxqpqg. Give prob of picking 1 l and 3 p.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3704*z**2 + 10*z - 4. Let v be l(4). What is v rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - 0.1. Let x = 92 + -88.1. Let f = x - 4. Which is the third biggest value? (a) 2\/9 (b) i (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - 17664\/336) + 18.\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 4:16 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 421346 = -40*b + 2090266. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -39*6\/(-18) - 5. Which is greater: 49\/6 or r?\nAnswer: 49\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*a - 3366 - 2550 + 2268 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 23\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/1 + -6)*3\/(-4). Let o = -94 - -93.9. Sort 0.3, 0.01, o, r in increasing order.\nAnswer: o, 0.01, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + (-249)\/4)\/((-2)\/(-8)). Let d = 283 + t. What is the lowest common multiple of 54 and d?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 6:30 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3\/7 - 6*r**2\/7 + 11*r\/7 - 6\/7 = 0 for r.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-50)\/(-12) + 31 + -35. Let b(v) be the second derivative of -5\/6*v**3 - h*v**4 + 0 + 0*v**2 - v. What is the second derivative of b(u) wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + 8 + -15)\/(2\/(-388)). Suppose -h = 3*r - 2205. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 5*m = -5*w + 6, -3*w - 4 = -5*m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1087466, -1090786, -1094094, -1097384, -1100650, -1103886, -1107086, -1110244?\n\"Answer: f**3 - 3327*f - 1084140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -488*b**2 - 2*b + 3. Let u(v) = 977*v**2 + 4*v - 5. Let m(h) = 3*u(h) + 5*w(h). What is the tens digit of m(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2732296*-0.4.\nAnswer: 1092918.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -767*g**3 - 10*g**2 - 11*g + 63. Let m be c(4). What is m rounded to the nearest 100?\nAnswer: -49200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1697505?\nAnswer: 3, 5, 113167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 38\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w - 32. Let g = 5551 + -5548. Let b(z) = 2*z - 11. Give g*l(k) - 8*b(k).\nAnswer: 5*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110 - -115. Suppose k*l - 4*i = -2*i + 11, -2*i = -2*l + 8. Calculate the highest common factor of l and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 751184209 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, x: 2, m: 2, r: 5}. What is prob of picking 1 w, 1 r, and 2 m?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 923501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3 + 90 = 32*p - 2, -8*p = -2*g - 10 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 87295 divided by -17\nAnswer: -5135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -19.1. Let a = u + 1. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -10100?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-30)*2\/(8\/6). What is the second biggest value in -0.093, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3\/7, 0, -3597, 4\/3 in decreasing order.\nAnswer: 4\/3, 0.4, 0, -3\/7, -3597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 6:02 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32273.6 rounded to the nearest one thousand?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(448) + 5)**2.\nAnswer: 64*sqrt(7) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 18*y**2 + 30*y - 14.\nAnswer: 2*(y - 7)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/12 - (0 - 15\/(-18)). Which is greater: l or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 3*m + 205 = 0. Let q = m - -121\/3. Which is the biggest value? (a) 2\/5 (b) 1\/6 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -11992346?\nAnswer: -11992351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 60. Suppose 4*d = 5*s - 4 + x, -3*d + 12 = -5*s. Suppose -d*k = -4*v + 48, -5*v - 3*k = -6*k - 50. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1565, -1464, -1297, -1064, -765, -400, 31?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 + 126 + 59)*(-3*o + 5*o - 2*o**2 - o) in the form w*o + q + v*o**2 and give w.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/18 and -53\/1106?\nAnswer: 9954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-20)*-1*20. Let u = g - 5. Sort u, 2, 0.\nAnswer: 0, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-18)*((-609)\/(-70) + -9)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i*i**(-2\/3)*i)*i*i**(-2\/13)*i*((i*i\/(i*((i*i**(3\/7)*i)\/i)\/i)*i)\/i)**14 assuming i is positive.\nAnswer: i**(332\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2934*s**3 - 2943*s**3 + 8826*s**3 - 2951*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 136*v + 1152.\nAnswer: 4*(v + 16)*(v + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l - l)*(-302 + 134*l**2 + 302).\nAnswer: -134*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrq when three letters picked without replacement from {r: 3, q: 2, g: 1, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n - 30. Let m(b) = -10*b - 33. Give 2*g(f) - 3*m(f).\nAnswer: 18*f + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 368*m**2 - 1156*m + 1520.\nAnswer: 4*(m - 95)*(m - 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*v**2 - 2\/3*v + 0 = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -240849189\/8 or -30106148?\nAnswer: -30106148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*a = 87*a - 11620. Suppose -5*x - a = -8*x + z, 0 = x - 2*z - 545. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -9. Calculate the remainder when 28\/(-21)*54\/(-8) is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17066009*z - 51451541?\nAnswer: 17066009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*m - 54 = 0, -5*m - 105 = 5*o - o. Let r = -80 + o. What is r rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*g = -10 + 3, -4*n + 2*g = -4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 172, 171, 170, 169, 168?\n\"Answer: -w + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 3*z - 13, 6*z - 7*k + 4 = -9*k - 3*k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**7\/105 + f**5\/15 - f**3\/3 - 3*f**2\/2 - 1. Let a(w) be the second derivative of l(w). Find y, given that a(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 52*b - 17*b. Solve b*h + g - 16 = 0, 0*h - 3*g + 8 = 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 286501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrpsrerr. What is prob of sequence rpr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39384644 divided by 2?\nAnswer: 19692322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 473753.1 millilitres?\nAnswer: 473.7531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 4*r - 1. Let q(m) = m - 5. Let t be q(7). Calculate the smallest common multiple of 10 and y(t).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 1. Let q(t) = -5*t - 1. Let r(l) = 6*h(l) + q(l). Suppose 3*d + 2*c + c - 12 = 0, 4*c = -d - 2. Determine r(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i = -m + 41, 4*i + 80 = 2*m. Let z = 7397 - 7284. What is the remainder when z is divided by m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euj when three letters picked without replacement from {u: 1, r: 4, e: 2, g: 3, j: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 16*o + 21 = 14*o, 32 = -4*b - 4*o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 208*j + 6 + 0 - 2 + 4 - 207*j.\nAnswer: j + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 356*d**2 + 13*d - 94. Let s be x(6). Round s to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43281261?\nAnswer: 3, 829, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-10\/9)*d)*d)\/d**(-2)*(d*d**28)**(-5\/7) assuming d is positive.\nAnswer: d**(-1249\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 - 3*y**2 + 0*y**3 + 5*y**3 + 2 + 5*y**2 to f*y**3 + b*y**2 + o + a*y and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 63 = -4*f, -4*v + 0*v + 66 = 3*f. Suppose -f - 14 = -4*i. Suppose 0 = -4*r + 53 + 35. What is the remainder when r is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -3 - (-8 - (-7 - -15)) - 2\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 12*k + 8*k = 15, 4*q = -2*k - 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (68\/119)\/(2\/28).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*z - 3, 5*z - 4*v + 1 = -5*v. Let q(o) = 17 - o**2 + 3 - 28. Calculate q(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -967252 - 752748. Round c to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -791*a**3 - 723*a**3 + 1618*a**3 + (-1 - 2*a**2 + 1)*(-a - 2*a + 2*a) + 59 - 59 + a**3 to q*a + w*a**3 + b + z*a**2 and give w.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 7*l**2 - 7*l + 10. Let d be w(-5). Let u(k) = -k - 4. Let b(f) = -1 + f - 3 + 9. Give d*b(s) - 6*u(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 3*t + 8382 + 2*t.\nAnswer: 2*t + 8382","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 18 = 2*h + 13*l, -43*h - 4*l + 769 - 175 = 0 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6571 - -14721. Round y to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from zzzoqqzzozboqq.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4193, -8386, -12579?\nAnswer: -16772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7881433517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70139232, -70139237, -70139246, -70139259, -70139276?\nAnswer: -70139297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(288) + 2 - (sqrt(18)\/(4*sqrt(45)\/sqrt(5)))**2.\nAnswer: 23\/8 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 81\/4 - 3\/2*f**3 + 27\/2*f + 0*f**2 - 1\/4*f**4 = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/64265136 and -43\/211770.\nAnswer: 963977040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.412673 decades?\nAnswer: 0.09412673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -44\/3, -1\/4, 0.2, -0.029?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -7321?\nAnswer: 7327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (792 + 884 - 1274)*(-5 + 5 + 2*b).\nAnswer: 804*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 3*r + 0*r)*(0*r + 0*r - 3*r**3) + 3*r**4 + 0*r**4 - 4*r**4.\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*s = 2, 7*c - 6*c - s - 3 = 0. Let q = -10 + 4. Let t be q + 8 - (-1 - 6). What is the greatest common divisor of c and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*y + 1807 = -205*y - 1226 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 654, -5, 2, 1 in decreasing order.\nAnswer: 654, 5, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -58347000 divided by -8?\nAnswer: 7293375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135856929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, 100, 11452 in descending order.\nAnswer: 11452, 100, 10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 176 (b) -3\/2 (c) 46\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 60*q - 87232. Calculate the highest common divisor of q and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -1 + -8 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.5, 201412.5, 0 in descending order.\nAnswer: 201412.5, 0, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 24492.\nAnswer: 122460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 k, and 2 c when four letters picked without replacement from {d: 1, k: 2, c: 7}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 98029.6 * 27.\nAnswer: 2646799.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(2)*6 - (sqrt(336) - (sqrt(336) - sqrt(336)*-1))\/sqrt(6))\/((-1*(sqrt(200) + (sqrt(200) - 1*sqrt(200))) - sqrt(200)) + sqrt(200)).\nAnswer: -7*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -752401\/4554 + -7\/1518. Suppose 0*k + 504 = -3*k. Let o = k - x. What is the common denominator of -65\/3 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*r - 5*r - 9 + 33*r - 3*r + 0*r - 119*r**3 wrt r?\nAnswer: -714*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 5*u**2 - u - 23. Let x be i(6). Calculate the highest common factor of 497 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 831401906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*z = -87 - 5, 2*z + 46 = 2*i. Suppose i*m + 173 = 24*m. Suppose m = j - 102. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 456 + 374 - 1976)*(o - 4*o**3 - o).\nAnswer: -8*o**4 + 4584*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31561 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*m**2 - 1 - 2*m**2 + 1 + (-2*m + 0*m + 0*m)*(0*m - 3*m + 4*m) + 22*m**2 - 10*m**2 + 4*m**2.\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/9 + 0)*6. Let i = 9 - 7. Let l(g) = g + 14. Let q be l(-8). Solve f*h = -i - q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 1. Let d(g) = 7*g + 2. Let z(u) = d(u) + 5*j(u). Let r be z(-5). Let k(m) = -m**2 - 4*m - 3. What is k(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126d (base 16) to base 9.\nAnswer: 6421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*a = 17, -5*a + 6 = -19. Suppose -26 = h*g - 18. Let x(p) = -4*p - 11. What is x(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.18 + 0.18. Let n = 1\/3718 + -24169\/7436. Are n and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i + 1 - i**2 + 0*i + 4. Suppose 4*y + 767*q - 771*q = -40, 4*q = 2*y + 34. Give s(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (189\/(-4))\/(-9)*6\/9. Let v = d + -3. Let u be (-4 + 3)\/(2 + 0). Which is the second smallest value? (a) v (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.77723 - -0.32277. What is the closest to v in -148, 4, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.29423ml to litres.\nAnswer: 0.06329423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 1 - 3. Is 4*(-265)\/(-10)*2\/l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**4 - c**3 + c**2 + c. Let v(u) = 1186*u**4 + 4*u**3 - 4*u**2 - 4*u + 2706. Let t(s) = 4*j(s) + v(s). Differentiate t(i) with respect to i.\nAnswer: 4776*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 774 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a factor of 42476460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3538\/3 + -1166. Let j = 704\/3 + -1255\/6. Calculate the common denominator of j and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99987584 divided by 781153?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2731219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -363*(0 + 1)\/(-3). Suppose h - 3*w + 4 = 30, 5*h - 2*w - 65 = 0. Calculate the highest common factor of h and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -4\/12414335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -139 + 144. What is the lowest common multiple of z and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, s: 2, f: 2, z: 7}. Give prob of picking 3 j.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -1)*(-3)\/2. Suppose 0*q + 15 = q. Let s be 13\/o - (-10)\/q. Solve -30 = -d - s*u, 6*d + 5*u = 2*d + 45 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 9378*u**3 + 2*u + 5084*u**3.\nAnswer: 14462*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5c + -563d?\nAnswer: -569b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5096 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24232204 (base 5) in base 9?\nAnswer: -375561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3750 by -2.\nAnswer: -1875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**6\/2 + 18*o**5\/5 + 21*o**4\/4 - 6*o**3 - 12*o**2 + 81. Determine r so that g(r) = 0.\nAnswer: -4, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 + 4*c**2 + 0*c**2)*(2*c + c - c + (5 - 4 + 0)*(c + 3*c - 2*c)).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80982 and 90?\nAnswer: 404910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 4, x: 3, q: 1, v: 6}. What is prob of picking 1 q and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8736121ms in nanoseconds?\nAnswer: 873612.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z - 8*z + 5*z**2)*(-2*z + 2*z - 2*z)*(1 + z - 1).\nAnswer: -10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 - 3*p**4 + 0*p**4)*(-33*p + 10*p + 117*p).\nAnswer: -188*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4*y - 48 = 0. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p + 7*p - 2*p)*((1 - 1 + 3*p)*(0 - 2 + 0) + 2 - 2 - p) in the form h*p + o*p**2 + l and give o.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 392*h - 388*h + 5 + 2 - 3 + 375*h**2. What is the units digit of d(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b**2 - 21*b - 17. Let p(g) = -12*g**2 + 36*g + 34. Let m(o) = 5*d(o) + 3*p(o). Calculate m(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*w - 4 + 4 + 0 = -144*w + 4*k, -4*k = 16*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/6537807 and -83\/17334?\nAnswer: 39226842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 22*j**2 + 55*j - 34. Let h be g(-19). Solve -4*p + 4 = -3*s, -h*p - 2*s = 3 - 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.1 (b) -12 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -190437\nAnswer: -76174.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 3*a**2 + 3*a + 2. Suppose -1 - 3 = 2*p. Let z be m(p). Let r = z + 16. Solve 0 = -2*q - 2*q - r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c + 7. Let i(x) = -1732*x - 98. Calculate -4*i(j) - 56*v(j).\nAnswer: 7096*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 2*d + 2*f - 122, 5*f + 130 = 5*d. Suppose 4*c = -9 + d. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -918057 divided by 3.\nAnswer: -306019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than or equal to -40020641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 8.4, 2, 0.4, -3, -1\/7 in decreasing order.\nAnswer: 37, 8.4, 2, 0.4, -1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41315 divided by 3.\nAnswer: 41315\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 62469, 62446, 62423, 62400, 62377, 62354?\n\"Answer: -23*f + 62492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -8. Let v = z + -4. Which is the second smallest value? (a) v (b) -2 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1132304 - 3431?\nAnswer: 1123323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 + 35*d**2 + 20*d - 41. Determine r(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 0.1567?\nAnswer: -1.8804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (144*u + 260*u + 635*u)*(-u + 0*u + 4*u).\nAnswer: 3117*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12\/5 (b) 0 (c) -5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3192 = 11*q + 32*q + 33*q for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 633307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20230 (base 4) in base 8?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7149 = d - 20216, -2*d = 4*b - 26176. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.72 - 0.08. Let z = s + 1. Let f = -0.2 + 0. Which is the closest to 1? (a) f (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1429109 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - 0. Let r = 0.1 + -0.07. Let z = -0.33 + r. Which is bigger: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 1:19 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*v - 0*v + 2*j, -16 = 4*j. Put 15, 2, v in descending order.\nAnswer: 15, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7726 + 19234. Suppose 0 = -x - 3*x + w. Is (3\/6)\/(10\/x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -2*y + 5*y. Let r be 260\/y - 3\/5. Which is greater: r or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -26275, -1, 1, -17.\nAnswer: -26275, -17, -1, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**3 - 178*h**2 + 3549*h - 3549*h)*(1 + 14 - 5) as v*h + a + j*h**3 + m*h**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-105))\/(288\/(-756)*(-35)\/4)\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61848?\nAnswer: 2, 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 + 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (-3*sqrt(132) + sqrt(132))*2)\/(sqrt(12) + (2*sqrt(768) + sqrt(768) - sqrt(12))).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, 421, 642, 877, 1132, 1413, 1726?\nAnswer: 2077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -523625 divided by -125\nAnswer: 4189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2200021201212 (base 3) to base 5\nAnswer: -331012230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394639981.\nAnswer: 394639981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**4 + 5349*h**3 - 403758*h**2 + 8172204*h - 14772120 = 0. Calculate h.\nAnswer: 2, 38, 1705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - q**3 + 0)*(2 - 2 + 2*q) - 4*q**3 + 4*q**3 - 3*q**4 + 37489*q**2 - 3 - 3*q**4 - 37489*q**2.\nAnswer: -8*q**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*o + 54 = 0. Let s be o\/15*(-20)\/(-6). Suppose d = -s*d + 15, 4*d = 3*t - 18. Solve 0 = 3*n - t + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**3*c\/(c\/c**(-4\/5)*c))\/(c*c\/c**(-1))**(-1\/3) assuming c is positive.\nAnswer: c**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*w + 85 + 137 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 20, 93 = -2*s + z + 108 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 1e7?\nAnswer: 1e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-72)*4\/12*(-18 + -6).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 38106*w**2 - 5983302*w + 235847390.\nAnswer: -2*(w - 18895)*(w - 79)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 7) to base 10\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.634 times -47?\nAnswer: -4212.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 3*u - m + 32, 3*m + 25 = 2*u. Suppose p = u*p - 660. Let o = 73 - p. What is the remainder when 67 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/383, -0.4, -0.03298 in decreasing order.\nAnswer: 2\/383, -0.03298, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 787 - 35*z + z + 7*z.\nAnswer: -29*z + 787","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/308 less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 55520129\nAnswer: -166560387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**3 + 26*n**3 + 21*n**3)*(5 + 1 + 0)*(-4 + 5 - 2) - 2 + 2*n**3 + 2.\nAnswer: -316*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 0 + 0*j + j + 3 - 6. Determine n(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g*g*g**(1\/2)*g*g)*g)\/g)\/g)\/g**(-6\/7) assuming g is positive.\nAnswer: g**(-37\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.3002 + -0.0598. Let h = 0.36 + v. Let z = h - -11.0000062. Round z to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + ((-816)\/84 - -2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300 and 166156400.\nAnswer: 498469200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21423891 divided by -38463.\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/324 and -43\/864.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 872*b - 878*b - 94, 5*h - 32 = 4*b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(52)\/(sqrt(4)*1))**2 - (1*sqrt(13) - sqrt(13))*-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -21. Let k be 33\/(-9) - 1\/3. Which is bigger: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9*20\/15 + 0. Let p be z\/(-2) - -4 - (-5 - 0). Let n be p + (-2 + 4)*2. Let g(h) = 2*h**2 - 7*h - 7. Let u(o) = -o**2 + 4*o + 4. Give n*u(m) + 4*g(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -52, -2.6, 6.68?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 7*j**5\/60 - j**4\/24 + j**3\/3 - j**2 + 8. Let a(z) be the second derivative of i(z). Let v(l) = l**2. What is a(r) - 5*v(r)?\nAnswer: 2*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -113\/195854?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 21 = h - 336, 3*g = -5*h + 167. Calculate the remainder when g is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2205 - 1836141.\nAnswer: -1833936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13469300 by 20722.\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 45322.37334.\nAnswer: 45322.57334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Suppose 5 = w, k + l = -2*w + 3*w. Let f = -2 + k. Solve 9*c - 4*c - 5*i - 35 = f, -4*c = 3*i - 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.8 + -25. Let u = t + 1.7. Let s = 1.5 - u. Which is the smallest value? (a) -3 (b) s (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s. Let r be 12\/(0 + 3) + -1. Let w(k) = -r + 7 - 4 + k**2. Determine w(d(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33311743162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 0 + 4*l - l**2 + 6*l**2 - l**2 - 5. Let h(m) be the second derivative of -m**4\/12 - m**3\/6 + m**2\/2 + 6*m. What is 5*h(i) + y(i)?\nAnswer: -i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2572728127 to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 129163583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5*l - 5*l + 1328364*l**2 - 3 - 1328366*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -10*x**2. Let l(v) = 2*v**2. Give -b(i) + 4*l(i).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -7\/26, -3\/5, 1, 3?\nAnswer: -7\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**2\/4 - 5617*n\/2 - 11230 = 0.\nAnswer: -11230, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1)**10)**(2\/5)\/(((z**(-5)\/z)\/(z\/(z*z**(-7)*z)))\/((z**2*z)\/((z**6\/z*z)\/z))) assuming z is positive.\nAnswer: z**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o = 201 - 26 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 41 + 99 = 4*f, 5*f + 4*s - 175 = 0. What is the remainder when 66 is divided by f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5833250 is divided by 833320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -246*m*z - 57165*m - 97994289*z wrt m?\nAnswer: -246*z - 57165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7427 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8133 and 7.5.\nAnswer: 60997.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 + 104. Let f(b) = 76*b - 1. Suppose -c + 4*c = 2*s + 7, -5*s + 17 = 4*c. Let y be f(s). What is the greatest common divisor of z and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/638218 and -37\/5288092?\nAnswer: 37016644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24177 - -11344?\nAnswer: 35543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 117*w**2 - 71*w**2 + 108*w**2 + 32*w**2. Let y(o) = 3*o**2. Give m(y(b)).\nAnswer: 1674*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1 + 0)\/(9\/(-1089)))\/(-1). Let l = v - -126. Suppose -5*a = l*u - 10, 5*a - 11 = 2*u - 50. Calculate the least common multiple of u and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 x when three letters picked without replacement from {d: 9, x: 1, u: 1, c: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 25 = z, 3*r + 6*z - 18 + 3 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(11) + (sqrt(77)*2)\/sqrt(7) - sqrt(11)).\nAnswer: -2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-8))\/(((-3)\/14)\/(44\/(-22)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6 - 10 + 10*t + 18. Let a = 0 + -1. Let l(b) = -2*b**2 - 4*b + 4. Let u be l(-4). Let c(h) = -h - 1. Determine a*r(j) + u*c(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -36. Let w = -13 + s. Let h = 0.02 - -1.98. What is the biggest value in h, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Suppose 4*v = -2*v + 36. Factor -3*h + 2*h**4 + 4*h**4 + 3*h**5 + 0*h**4 - v*h**j.\nAnswer: 3*h*(h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 0. Suppose -2 = 4*o - 5*o. Solve -2*r = -b, 4*v + 7 = -o*r + 21 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6565354709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239308, -478714, -718218, -957820, -1197520, -1437318?\nAnswer: -1677214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7266*x**2 + 173*x + 346. Let g(i) = 169*i**2 + 4*i + 8. Let n(k) = -4*c(k) + 173*g(k). Let w(t) = t**2. Give w(n(q)).\nAnswer: 29929*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 8, -2*p + 4 = -2*y - 0*y. Let g be (56\/16)\/(y\/4). Solve 2*r = -w + r + g, -w - 5 = -5*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2202 - -2204. Let n = -17 - -22. Which is the closest to w? (a) -2\/9 (b) 12 (c) 0.2 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -14*t. Let f(r) = -16*r + 38. Give v(f(d)).\nAnswer: 224*d - 532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 0 - 13\/30*r**4 - 59*r**2 + 31\/60*r**5 - 2\/15*r**3 - 3*r. Let h(c) = 0. What is c?\nAnswer: -2\/31, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 22132.\nAnswer: 44264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556.6868 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21, 4, 0.5, -0.5, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -117*u + 111*u - i, -5 = -u + i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uv when two letters picked without replacement from ggpptvuptpuggpvpa?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*z - 4*z. Let h be 6\/12*92\/z. Solve -5*l = -2*f + 3*f - 15, 5*f - l = h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 0 + sqrt(1900))*-5)**2.\nAnswer: -1500*sqrt(19) + 47725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -669650, -1339298, -2008942, -2678582, -3348218?\nAnswer: -4017850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**8\/84 + a**5\/20 + 5*a**2. Find the third derivative of m(y) wrt y.\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 13537?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 660.16 and 0.047.\nAnswer: 31.02752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001100100000111110010 (base 2) to base 4.\nAnswer: 121210013302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1190*d - 347. List the prime factors of g(2).\nAnswer: 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a - 1115 - 94 = 554 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 - 59. Suppose 0 = f*y + 6*y - 90. Let z = -13 - -23. What is the remainder when z is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (96 + 13 + -17 - -4 - (-2 + -9)) + 13\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.0600267 - -4.06. What is f rounded to 6 decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*v, 0 = -v - m - 2*m. Suppose v = -3*p + p + 36. What is the tens digit of (-544)\/(-10) - (p\/(-30) - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -9*u + 37. Let h be z(4). Sort 3\/4, -4\/7, h, -0.08 in decreasing order.\nAnswer: h, 3\/4, -0.08, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b = 2*a + 213, 0 = 19601*a - 19606*a + 4*b + 88 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454*s + 370156 - 47356 + 69304 = 2585*s. Let t(z) = -z**2 - 4*z + 7. Calculate the least common multiple of s and t(-5).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-165)\/30)\/11*14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/7)\/j)**(-12\/5) assuming j is positive.\nAnswer: j**(96\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 11\/4*f**5 - 5\/6*f**6 - 14\/3*f**3 - 4*f**2 + 1\/2*f**4 + 6*f + 0. Find u such that g(u) = 0.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100567214 divided by -9142474\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 z when three letters picked without replacement from {r: 2, z: 5, u: 4, v: 2}?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96693, 96699, 96705?\nAnswer: 96711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**5 + 1950*s**4 + 109752*s**3 + 1425762*s**2 - 1537461*s = 0.\nAnswer: -27, 0, 1, 703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -40446, -80856, -121266?\n\"Answer: -40410*y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 692 + -673. Suppose 14*n - b*n + 350 = 0. Calculate the highest common factor of n and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**3 + 10*d - 14*d + 236 - 74 - 82 - 78. Let a(i) = -i**3 - i. Determine 2*a(l) - v(l).\nAnswer: 3*l**3 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 46061, 46001, 45941, 45881, 45821?\n\"Answer: -60*c + 46121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-6)*i**6*(i*i*i**(1\/3)\/i)**27*(i**(-1\/3)\/i**9)\/(i**(-1\/6)*i\/((i\/(i*i*((i*i*i**(1\/5)*i)\/i*i)\/i*i))\/i)) assuming i is positive.\nAnswer: i**(619\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.421 + -0.321. Which is the second smallest value? (a) 0.02 (b) -0.2 (c) p (d) -5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - 483?\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 154*x + 141. Calculate the remainder when q(4) is divided by 95.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-73 - -70 - -36) + 14 + 2 + -4\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 160979 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from {j: 2, k: 10}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - d - 1 - 5*d + 2*d + 0*d + (0*d + d - 2*d)*(-2 + 3 - 2) + 0*d - d + 2*d to the form w*d + r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 0*o**2 + o + 0 + 1\/6*o**3. Let x(r) be the first derivative of 5*r**3\/3 - 5. Calculate n(x(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z = -x - 841, 0 = 5*z - 3*x + 837. Let s be z\/(-3) + 1 - 2. Suppose 2*a = -3*a + s. Calculate the lowest common multiple of a and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z**2 - 3*z + 4. Calculate u(3).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35882 is divided by 330?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33857688 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 340417 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -549*v**4\/4 + 1954*v**3\/3 + 3300*v**2. What is the derivative of i(j) wrt j?\nAnswer: -3294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13528 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25343, 25344, 25345, 25346, 25347, 25348?\n\"Answer: j + 25342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 - 3*f**3 + 3*f**3 + f**2 - f**2 - f**3 + (-3 + 3 - 2*f**2)*(1 + 2*f - 1))*(-8 + 0 + 0).\nAnswer: 56*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 4. Suppose 7*j - 140 = -3*s + b*j, 133 = 3*s - 2*j. Calculate the greatest common divisor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-91 - -93 - (-1 - (-1 - 1))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a centimeter in millimeters?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32236\/19 - 1697. Let x(q) = -7*q. Let p be x(0). Which is bigger: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110011 - -10?\nAnswer: 10110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 19 + -11 + (-7 - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 7. Suppose 4*v + 12 = -4. Let c = -3 + 7. Let j(d) = 0*d + 0*d + c + 2*d - d. Calculate v*u(i) + 7*j(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159530397.\nAnswer: 3, 13, 17, 71, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 5462895?\nAnswer: -1\/5462895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19146?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*t - 10*t - 14*t**2 + 16*t**2 to the form x + w*t + g*t**2 and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -11*z**4\/4 - 3*z**3 - 20*z**2 + 17*z. Let v be o(-16). What is v rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(176) - -1*sqrt(176)*-5 - sqrt(176)) + (-1 + sqrt(176) + 4 - sqrt(176))*2 + -5.\nAnswer: 1 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, -305306 in decreasing order.\nAnswer: 0, -12, -305306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16990 + -11507. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*w - 5*h, 4*w + 4*h - 2 = 2. Let d = 5389 + -5392.8. Which is the nearest to 1\/6? (a) -0.1 (b) d (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 63. Let s(f) = -6*f**2 - 10*f. Determine s(j(p)).\nAnswer: -6*p**2 + 746*p - 23184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8681623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528020 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59 by -116888.\nAnswer: -59\/116888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**3 + q**3 + q**4 + 4*q - 2*q**3 - 5*q**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**5\/180 - w**4\/72 + 22*w**2 - 30*w + 1. Let j(q) be the first derivative of u(q). Solve j(d) = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 385 - 1096. Let m = n - -706. Let x(a) = -a. Calculate x(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10559*t**4 + 41*t**3 - 2*t**2 + 156163*t wrt t?\nAnswer: -253416*t + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538859.\nAnswer: 19, 79, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 645.7848 millennia to years.\nAnswer: 645784.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15515612 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-275)\/(-33) + 1\/(-3). Suppose -p + t = 3*p - 4*n, 4*p - 5*n = 7. Solve 5*s + 17 = 2*r, p*s + 4*r - 1 = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.7776 - -6.718633. Let d = -62 + 61.941. Let u = d - x. Round u to six dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 468*h + 1761. Let z be p(-4). Put -16, z, 0.2 in decreasing order.\nAnswer: 0.2, -16, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -6 + -37 + 7 + -5.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 802697898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 264\/(-560) - (-32)\/(-320)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2823268.\nAnswer: 2, 7, 59, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**3\/4 - 6339*l**2\/4 - 681615*l\/2 = 0. What is l?\nAnswer: -1870, -243, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.9 + -5.899845. What is w rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89916676*w**6 - 204*w**2 - 4*w + 15001?\nAnswer: 10790001120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 0*h**3 + 0 + 24\/17*h**2 - 32\/17*h - 2\/17*h**4 = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -5*p - 36. Suppose -2*i - d + 474 = -5*d, -2*i + 479 = -5*d. Let x = i + p. Round x to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*r + 270 = 0, 0 = -t + r + 2*r + 42. Let v = 18 - 16. Factor 2*x - x - t*x**v + 52*x**2.\nAnswer: x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(18\/32) + (-28)\/84. What is the first derivative of 11*o + 8 + h + 4 wrt o?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vveoeoveeyveveee. Give prob of sequence vvoy.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10995, -43902, -98699, -175392, -273987?\nAnswer: -394490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-5) + -2 - 156\/(-30). Let u(d) = -2*d**2 + 10*d + 8. Calculate the remainder when u(n) is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37839499\/1092 - -449444\/13. Let j = n + 311\/4. Let u = 207 + -3091\/15. What is the common denominator of j and u?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 35*n + 2. Let h(u) = 36*u + 2. Let y(o) = 6*h(o) - 5*i(o). Let d be y(3). Let l = d + -71. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5403446?\nAnswer: 2, 2701723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 4, -0.4, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165 + -119. Let g = -45 + z. Let n = 8 + -5. Is g at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 937 + 6*o + 180 - o.\nAnswer: 5*o + 1117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 643 divide 947152503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c5350 (base 15) in base 11?\nAnswer: 12347a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 16 = 4*y - 8*g, -4*y - 3*g = -16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - b = -2*d - 12, -b - d = 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12424021 - -4314?\nAnswer: 12433340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1235003953?\nAnswer: 491, 2515283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) 0.5 (c) -0.4 (d) 4.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a gram in milligrams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/5)\/(112\/(-56) - 6\/(-2))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.17? (a) 2\/15 (b) -0.18 (c) -332\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9*w**2 + 139*w + 138. Determine g(-8).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 364 and 185276.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 99421 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c**3*d*h**3 + 31*c**3*d*h**2 - 6*c**3*h**2 - c**2*d*h + 131*d*h**3 wrt h?\nAnswer: -42*c**3*d + 786*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1151)\/17265)\/((-2)\/(-25))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of -1 - (-9)\/6 - (-2159)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-5)*5\/(-1). Let j = 7 + f. Suppose -j*y + 5*l + 5 = -13, 0 = -5*y + l + 52. What is the smallest common multiple of 9 and y?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249016 is divided by 147?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1015a60 (base 11) to base 8.\nAnswer: -6660125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -600*t - 262*t - 249*t + 1118*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/(441\/(-392))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 = 18*o - 269 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + v + 3, -23 = 16387*l - 16391*l - 5*v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511552 divided by -4944?\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/21*5\/100*-14?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1498 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.22 + -0.62. What is the closest to -1\/4 in l, -4, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h*r*s + 48*h*r + 1113*h*s + 154*h + 9829028*r*s wrt h?\nAnswer: r*s + 48*r + 1113*s + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 25*i**3 + 63*i**2 + 62*i. Calculate g(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 9:53 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a + 140195 - 140195.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.12, -4\/11, 1\/2 in descending order.\nAnswer: 1\/2, -4\/11, -9.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from {u: 1, g: 5, d: 1, i: 4, o: 5}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/47 and -21\/52118441?\nAnswer: 52118441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 3 + 3)*(-17 + 6 + 22).\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1004*r - 1774*r + 1008*r as f*r + w and give f.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-28))\/((-4)\/(-476)))\/(1420\/(-142))?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4024685 divided by -6?\nAnswer: 4024685\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4154296 to the nearest integer?\nAnswer: 2038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -2 - (8 - 13)) + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**3 + 39*y**2 + 12*y - 15. Does 33 divide p(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 4*d**5\/5 + 26*d**4 + 452*d**3\/3 + 344*d**2 + 336*d + 780. Solve u(i) = 0.\nAnswer: -21, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 7:17 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1\/3, -3\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34989 + 35068. Solve v*p - 76 = 60*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10566*z - 27056 wrt z.\nAnswer: -10566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 261757?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3144 - -1234. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1390*s**2 + 9*s - 16. Let x(q) = -1390*q**2 + 10*q - 18. Determine 9*a(m) - 8*x(m).\nAnswer: -1390*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -697 (base 14) in base 3?\nAnswer: -1210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/(-6))\/7 + 96892\/24. Suppose -180 = -a + 5*c + u, -2*a + 8454 = -5*c. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**4\/2 - y**2 - 5*y - 2. Let h be f(-4). Let u = h - -391\/3. Find the common denominator of u and -97\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4140 (base 12) in base 15?\nAnswer: 2189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 154233357 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 9 + 2 - 117*f + 14 - 1 to the form g + x*f and give x.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 5:18 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 17. Suppose 0*b - 10 = -i*b, -2*b = -h + 2. Suppose -z + h = k - 12, 5*k = -10. What is the remainder when 77 is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -53*x**2\/2 - 37*x - 132. What is the hundreds digit of r(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3173939750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 66*h**2 - 7051. Let y(t) = t**2 - 10. Calculate m(y(v)).\nAnswer: 66*v**4 - 1320*v**2 - 451","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*sqrt(3072).\nAnswer: -3 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -935479 = -14*j - 3*d, 8*j - 2*d = 12*j - 267290. What is the ten thousands digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24322043?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1314254 = 15045026. Let r = a + 1376927. Let x be r\/5 + 15\/(-25). Round x to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15ab + 15?\nAnswer: 15c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 182 - 80. Let v = m - 94.6. Let d = -9.4 + v. What is the third smallest value in -6, -5, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508259 is divided by 508241.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-12))\/(((-18)\/16)\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 1, g: 11, s: 4}. Give prob of picking 2 s and 1 p.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.92 + 0.08. Let n = y - 15.996. Let f = -5.404 + n. Round f to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-5 + (sqrt(243) - (sqrt(243) + sqrt(243) + 0 + sqrt(243))))*-5 + -2 + 1)**2.\nAnswer: 4320*sqrt(3) + 24878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11359, 22773, 34151, 45475, 56727?\n\"Answer: -3*c**3 + 11435*c - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13533.\nAnswer: 3, 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*u + 969 = 147*u - 326*u - 1341 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -130100405 divided by -85?\nAnswer: 1530593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 638119759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 302442451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 12*x**2 + 15*x - 26. Let d be y(17). Suppose 20*c - d + 23697 = 0. Round c to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 - 199 = -2*t + 4*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*sqrt(5)*-3.\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c. Let q(l) = -2*l**2 - 6*l. Let a be q(-4). Let v = -17 - a. Let p(i) = -2*i. Determine v*h(r) + 4*p(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-378)\/(-567))\/((-2)\/(-18)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l = -5*z + 14, -z = 5*l - 12. Let h(c) = 2*c**3 + 86*c**2 + 85*c + 46. Let d be h(-42). Solve -p - d = -5*p, 0 = -q + 3*p + z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 35*d**2 - 1364*d - 39. Let k be v(39). Sort -2, k, 1, -30, 2.\nAnswer: -30, -2, k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 30 = -11*h + 16*h, 3*v = 4*h - 24. Solve -5*j + 9*j = -2*l + 8, v = l - 5*j + 24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 - 3*b + 2. Let f be z(-1). What is the hundreds digit of ((-297)\/f + (-2)\/(-4))*-6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 523631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7293*n**2 - n + 87. Let s(x) = -7294*x**2 + 2*x - 130. What is -2*s(b) - 3*y(b)?\nAnswer: -7291*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.2 less than -8781720215?\nAnswer: -8781720330.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 17*f**2 + 447*f + 6149. Give z(-15).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, 20, -2.\nAnswer: -13, -2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 4:46 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g - 5 + 4 - 19. What is the least common multiple of (-5 + 2)\/(6\/(-20)) and h(-15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7272335 to the nearest integer?\nAnswer: 2697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1761, 1759, 1755, 1749, 1741?\nAnswer: 1731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (618\/(-9))\/1*-3 is divided by 60.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 + 57. Suppose -j + 3 = -4*m - 7, 0 = -5*j - 4*m + 2. Which is the closest to j? (a) 0.4 (b) 2\/15 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*p**4 - 305*p**3 - 60*p**2.\nAnswer: -5*p**2*(p + 12)*(5*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18\/7, -19, 0, 5.05, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8568 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2495173517640 and 0.27?\nAnswer: 2495173517640.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 8*v + 18 = -i, 0 = -307*i - 308*i + 615*i + 40*v for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*l - 157*l + 110189 = -10*l. Calculate the remainder when 883 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 5, -14, 4 in decreasing order.\nAnswer: 5, 4, 2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 266 - 266.7. Let m = -3.2 - -0.2. Which is the closest to 1? (a) 0.1 (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {r: 2, w: 2, i: 2, x: 1, j: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 37. Suppose 0 = -3*j - k + y + 7, 5*j - 2*k = 48. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/5477 - -224547\/54770. Let f = -4 + c. Factor -f*l**2 + 1\/10*l + 1\/5.\nAnswer: -(l - 2)*(l + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -15735\/1624 and -11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 9195 - 9188. Let w(f) be the third derivative of 1\/108*f**6 + 0 - 1\/945*f**k + 1\/27*f**4 + 0*f**3 - 4\/135*f**5 + 0*f - 18*f**2. Factor w(n).\nAnswer: -2*n*(n - 2)**2*(n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49991 - 29498. What is the thousands digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 7*r + 45 = 0. Solve r*d - 4*d + 8 = -s, 4*d - 2*s = 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 20664*d - 385. Is i(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/26? (a) 4 (b) 2.8 (c) 1\/5 (d) -0.3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnlwlnllmllm. What is prob of picking 2 m and 1 n?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64325196?\nAnswer: 2, 3, 13, 137447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11015)\/25*(-15)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 12734 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 772, 666, 562, 460?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 134173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-85)\/(-34))\/((-150)\/(-40)))\/(6\/(-27))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*o**3 + 4719099*o**2 - 371166338589*o + 222698104281.\nAnswer: -3*(o - 157303)**2*(5*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 953691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**2. Let l(h) = 3491*h. What is g(l(r))?\nAnswer: -48748324*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 11 = -4*m, -2*n = -6*n - m - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*f = -9, -3*o = -3*f + f + 6. Let y = 0.37 + -1.37. Sort o, 2, y.\nAnswer: y, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2310?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18440 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 67259124169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (0 - (-306)\/(-10)))*(62600\/120)\/(-313).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 10*w**2 - 12*w + 10. Let z be (-1 - 2)\/((-9)\/33). Let t be y(z). Sort -0.1, 0.3, t in descending order.\nAnswer: 0.3, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 40824887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 - 75.5. Which is the smallest value? (a) -1\/3 (b) -5 (c) -1\/7 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1447?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-328)\/(-252) + 276\/4186*-13?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35843677762 take away -3?\nAnswer: -35843677759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003415022519 to six dps.\nAnswer: -0.003415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 10. Suppose 4*f + 0*f = 12. Solve m*p - 4*j = 4, f*p + 2*p = -4*j + 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5085 is divided by 175.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 + 128. Suppose -29 = -y - i. Suppose -2*r - 96 = -y*u, -5*r + 0*r = 0. What is u rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1620 or -3083?\nAnswer: -3083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqqqlqqqqlqqqq. Give prob of sequence lqlq.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)\/(z*z**(-4)))\/(z\/z**(2\/11)*z\/z**(-3\/8)) assuming z is positive.\nAnswer: z**(301\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -16*t**2 + 2730*t - 7198. What is d(168)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 1103?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 5*c - 7*c - 27 = 0, -3*v + c = 14 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-7) + (-80)\/(-14). Find the first derivative of -1 - 2 + a - 2*f**3 wrt f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.217709 weeks?\nAnswer: 2550870403.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*g + 11271 = 0, -385*g + 2 = -383*g. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.102, 970.4, 0.4 in increasing order.\nAnswer: 0.102, 0.4, 970.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 6. Let x be w(-5). Let s = x - -6. Let r be (-1 - -1) + -1 + s. Solve -4 + r = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 462 = -3*f + 2*l, 2*l = -5*f - 786. Suppose 4*u + 2*t + 1352 = 0, 2*t = 4*u + 6*t + 1364. Let s = f - u. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i = 66. Suppose -5 = m - i. What is the highest common divisor of m and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 58.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q*q*q\/(q*q**5)*q*q*q*q\/q**6)\/(q*q**(2\/5)*q*q**(1\/8)*q) assuming q is positive.\nAnswer: q**(-221\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101111010000110111 (base 2) in base 8?\nAnswer: 3572067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -7. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 1\/4, -3, 3\/5, 90 in decreasing order.\nAnswer: 90, 3\/5, 1\/4, 2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 3*m - 6*m)*((4 - 2*m - 4)*(3*m + m - 5*m) - 2*m**2 + 4*m**2 + m**2 + 3*m**2 - 2*m**2 + 0*m**2 - 9*m**2 - 5 + 5 - 5*m**2 - m + m - 2*m**2 + 0 + 0).\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7276*v**3 + 14577*v**3 + 25778*v**3.\nAnswer: 33079*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 329496*p**3 + 934018*p**2?\nAnswer: 1976976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -3*p - p. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -130*44\/(-42168) + 5\/(-30) and -115\/12.\nAnswer: 21084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 - 4*v**2 - 2*v**2)*(-1 + 0 + 0)*(5 - 15 - 24) - 3*v**2 + 5*v**2 + 0*v**2 as t + p*v + q*v**2 and give q.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*i - 3*i - 54*i + 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -19, -16, -23, -46, -91, -164, -271?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/1510? (a) -3 (b) -0.5 (c) -2\/7 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 + 88 - 16*y**3 + 3*y**3 + 83 - 258.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3)**37 assuming i is positive.\nAnswer: i**111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 50\/3. Let t = 31 - 26. Which is the closest to 1? (a) -2 (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 231*x**5 + 5*x**2 - 41*x**5 - 104*x**5 + (2*x**2 + 0*x**2 - x**2)*(-1 + 3*x**3 + 1) - 2*x**5 - 2*x**3 + 2*x**3.\nAnswer: 87*x**5 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2011275717 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48525\/113078 + -9\/16154. Find j, given that 18\/7*j + 0 - 3\/7*j**3 - b*j**2 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1050240 - 1146?\nAnswer: 1047072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -58, 77, 236, 425, 650, 917?\nAnswer: 1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5942 + 2012 = 126*k + 5*k for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/18)\/s)\/((s\/(s\/((s*s\/((s*s**(-13)*s)\/s*s)*s)\/s)))\/s))**(3\/8) assuming s is positive.\nAnswer: s**(-233\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 5:18 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjzbww. Give prob of picking 2 w.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgogtthtoeooohoohhg. What is prob of picking 3 h?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**4 + 4046*q**3 - 367062*q**2 + 8506890*q = 0.\nAnswer: 0, 45, 49, 1929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 5, d: 13}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -5221*t + 5220*t + 4, 2*h - 6 = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0 (c) -33.5 (d) 2\/17 (e) 1\/7 (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 + 9 + 2\/(-7). Let x = -3 + 4. What is the biggest value in -4, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((3 - (7 + -4)) + -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*u**3 - 36*u**3 + 185*u**3 - 33*u**3 - 51*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjhfjjjhjjjjjjhjj. What is prob of picking 3 h and 1 j?\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 21 = 35. Suppose -13*t + m*t = 5. Suppose 5*y - 298 = -t*f + 887, -3*y - 6 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49635.2 to the nearest 1000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1858749?\nAnswer: 3, 619583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from vvwqvxxfvxqqxx?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*i + 38. Calculate the smallest common multiple of 106 and i.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 + -88. Sort f, 3, 0, -35 in decreasing order.\nAnswer: 3, 0, f, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 20, -23, -100, -223?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11787978 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + 82. Let f = 118 - j. Let x = 0.1 - 0.14. Which is the closest to -0.1? (a) x (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 15\/2*u + 5 + 5\/2*u**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/12*24\/42. Put u, -2\/13, 3\/2, -0.4 in decreasing order.\nAnswer: 3\/2, -2\/13, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 11\/5, 3\/4, -3, -0.4, -378681?\nAnswer: -378681","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 - 3 + 2*q + 13*q**4 + 3 + 3*q**2 - 2*q**2 as a*q + k*q**4 + u + z*q**3 + b*q**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 6 = -2. Let r be t\/(-7) - 57\/(-21). Let f be 2\/6 + 20\/r. Solve -5*m + f = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -8140 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*r - 118 + 209 = 0, -4*r = 58 + 114 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 175c4 - 3?\nAnswer: 175c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -407247293 divided by 4.\nAnswer: -407247293\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + 6*(sqrt(48) + 0 + sqrt(48)) - sqrt(48))**2 + (sqrt(2304) + sqrt(2304)*-1)\/sqrt(12) + 2.\nAnswer: 6914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nndd. Give prob of picking 2 d and 1 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 7*y + 57. Let x(k) = -k**2 - 9*k - 4. Let l be x(y). Let u(r) = 2*r - 6. Let q(s) = 1. What is l*q(v) - u(v)?\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*(0 + sqrt(475)) + (1 + sqrt(475))*-3).\nAnswer: -9 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m + 700 = 0. Let t be m + (2\/1 - -1). What are the prime factors of 3\/(-7) - t\/(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 6*l**2 + 5*l + 11. Determine z(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135479415 to the power of 1\/4, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -278*((-4)\/(-4))\/2. Let i = -7639 - -15001\/2. Is i at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -100110011101111100101?\nAnswer: 100110011101111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*a + 75*a + 40*a - 11844 = -82*a for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-9))\/((225\/18)\/(-25))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p**2 - 23*p + 23. Let i(s) = 2*s**2 + 8*s - 8. Let j(q) = 17*i(q) + 6*v(q). Give j(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -o - 7, 0 = 3*x - 5*x - 4*o + 14. Suppose 0 = b - 2*b + 7. Let n be (-1 - b\/(-4))*4. Solve n*s - x*i + 0 = 6, 0 = -3*s - 3*i + 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-8))\/(3\/(-24)*9). Which is the second biggest value? (a) -1\/6 (b) 0.3 (c) 7\/4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4 - 1278*q**3 - 7761*q**2 - 6480*q = 0.\nAnswer: -5, -1, 0, 432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**8*b**8)**(-3\/8))**(-4\/13) assuming b is positive.\nAnswer: b**(24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -14. Let s be z\/((-1)\/(-3)) + 26. Let r(b) = -21*b + 23 - s. Let p(i) = -2*i**2. What is r(p(f))?\nAnswer: 42*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2046.5 (b) 0.2 (c) -0.5 (d) 3 (e) 2\/13 (f) 7 (g) 17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - 7. What is the remainder when (g\/1)\/((-15)\/20) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83938 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-1)*v))**35*(v\/v**(-3))\/(v*v\/((v*v*v**8)\/v)))\/(((v\/(v*v*v\/v**(-6\/13)*v*v*v*v*v)*v)\/v)\/v*v**(3\/5)*((v**1*v)\/v)**(-2\/5)) assuming v is positive.\nAnswer: v**(3527\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/8)\/(-5))\/(3\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(2*sqrt(12) + sqrt(12)))\/(sqrt(28)\/sqrt(7)*-1) - (1 + (sqrt(192) + 3 - sqrt(192) - sqrt(192)) - 5*(2 + sqrt(192) - sqrt(192)))**2.\nAnswer: -228 - 289*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7\/w)**(-39)*(w**(1\/17))**(-17) assuming w is positive.\nAnswer: w**(-235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 - 65. Let v = -0.03 + -1.07. Let u = v - -0.1. Which is the nearest to u? (a) -1 (b) o (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -0.4 (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1328 and 17216690?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 23*k - 23*k + 2. Let y(n) be the third derivative of n**5\/20 - 3*n**3\/2 - 7*n**2. Let m(f) = 18*r(f) + 4*y(f). Give m(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375176914 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -37*m + 41*m. Solve m*x + 7 = -5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 358, 5, -4, -6, -3, -1.\nAnswer: -6, -4, -3, -1, 5, 358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 - 143 - b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 76 = -28*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (5 - -3) + -1 + -22.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/sqrt(108) - 2*sqrt(11)*2.\nAnswer: -11*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1258 = -15*s - 58. What is the least common multiple of s and 136?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98*c**3*d**2 + 8*c**3*d + 5*c*d + c - 15*d**2 wrt d?\nAnswer: 196*c**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 47 in 0.1, -0.3, -1, -0.1, 0.08?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, n: 2, c: 1, m: 7, d: 4}. What is prob of sequence nmc?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15288595477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -318497 - -318499.65398. Let x = p + -2.66. Round x to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4\/9 + 14*f**3\/9 - 8*f**2\/9 - 8*f\/3 = 0. What is f?\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5638 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 11*a**2 - a. Suppose -4*d - 131 = -5*r - 7*d, -3*r + 75 = 3*d. Let z be (-14)\/r*(3 - 1). Does 4 divide m(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 382 or 383?\nAnswer: 383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - -1 - 2)\/(-1). What are the prime factors of n + (-50 + 1)*-1?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120.58 - -120.58. Let z be -1 + (-74)\/36 - -3. Sort z, -3, y, 3 in increasing order.\nAnswer: -3, z, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.089, 4, -2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3051*a + 6125*a - 3104*a.\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -39, 3\/32, 25?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*n + 158*n + 89. Sort -3, n, 0, 2, 5 in increasing order.\nAnswer: -3, n, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50448.\nAnswer: 2, 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -5*o + 49. Let w = -62 + o. Let f = w - -24. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 4, -4, 0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -6 + (-25 - -32)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -4 (b) -2\/9 (c) 2\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*d - 178, d - 4*d - 4*f = 295. Let p = -62 - d. What is the remainder when 92 is divided by p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163 - 164. List the prime factors of p\/3 + 1324\/12.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 580 and -264?\nAnswer: -153120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffwwfffffffwwwff. What is prob of picking 3 w?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12401 divided by -299\nAnswer: 12401\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019*17\/68*20.\nAnswer: 5, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(1\/5)*s*s\/(s\/s**(-6))*s)**(2\/105))**(12\/7))**(-15) assuming s is positive.\nAnswer: s**(48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27934*d*i**2 + 164095*i**2 with respect to d.\nAnswer: 27934*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 - (-12 + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15411 + -15411. What is the fifth biggest value in 22, 2\/19, h, -1\/5, 3\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, z: 4, m: 4, o: 5}. What is prob of picking 1 m, 2 o, and 1 z?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*g - 6. Let q = g - -10. Sort 0, q, 3 in increasing order.\nAnswer: 0, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = 0, -109*a + 111*a + u - 208 = 0. What is the highest common factor of a and 99?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 6:08 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 5. Suppose -s = 2*s. Let q be r(s). Is 406\/35 + (-3)\/q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*m**2 - 104 + 104 + 18*m**2 - 19*m**2.\nAnswer: 31*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, a: 10}. Give prob of sequence bba.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5286, 42245, 142564, 337923, 660002, 1140481?\n\"Answer: 5280*a**3 - a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/9 + 97870*t**2\/9 - 1197659584*t\/9 + 8378822144\/9.\nAnswer: -2*(t - 24464)**2*(t - 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**3 + 4*i**3 - 2*i**3 - 6*i**3 + 2*i**3 + 3*i**3 + (89780 + 7*i**2 - 89780 + 5*i)*(8 - 8 - 7*i).\nAnswer: -52*i**3 - 35*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 89802658007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (3 + -2)\/((-8)\/(-400)) and 9?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8013 - 320483\/40. Let d = 195166591\/56 - 3485024. Let u = -741\/8 + d. What is the common denominator of s and u?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*w = -36, -4*d - 5*w - 4 = -0*w. Let a(h) = 340*h - 6 - 364*h + d + 1. Let j(b) = -2*b. Calculate a(j(c)).\nAnswer: 48*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*k**3 - 2683080*k**2 + 1341525*k - 167690 = 0 for k.\nAnswer: 1\/4, 33538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 4.27, -15, 359?\nAnswer: 4.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(784))\/(sqrt(21)\/sqrt(27)) + -2.\nAnswer: -2 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -71*k**2 + 20*k - 16. Let u = 65 - 59. Suppose u*x + 132 = 17*x. Let f be a(x). Round f to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*w - 22, 4*m + 0*m = -2*w + 14. What is the nearest to 1 in 29, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1767, -3156, -4135, -4704, -4863, -4612?\nAnswer: -3951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 27*t + 1. Let r(n) = 402*n + 15. Let f(i) = -r(i) + 15*u(i). Let s(z) = -3227*z. Calculate f(s(g)).\nAnswer: -9681*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (((-3264)\/18)\/(-8))\/(225\/100)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, x: 1, v: 4, u: 5}. Give prob of picking 2 u, 1 w, and 1 v.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l + 1. Let s(i) = -9*i + 2. Let m(f) = 3*s(f) - 5*z(f). Let p be m(3). Let b be (220\/1100)\/((-1)\/15). Put -12, p, b in ascending order.\nAnswer: -12, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, p: 4, d: 3}. What is prob of sequence pdbp?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126866b (base 12) to base 7.\nAnswer: 42536126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39155 and 1230?\nAnswer: 234930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.18. Let m = 3.12 + k. Which is the closest to 0.1? (a) -2\/21 (b) m (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 - -31. Let l = r + 175. Suppose 4*s = 5*q - l, 129 = 7*q - 2*q - 2*s. What is the remainder when q is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -5*b - 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 17*z + 20. Let l be w(-16). Suppose -2*b - l = -4*b. What is the greatest common divisor of 8 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, 23, -1\/3, -2\/5 in descending order.\nAnswer: 23, 5, 0.1, -1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.3 + -23.3. Let i = 28 + m. Which is the nearest to 2\/3? (a) i (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -252 + 295. Find the second derivative of 11*m**4 + 236*m**2 - 1 - 236*m**2 + l*m wrt m.\nAnswer: 132*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1499 - 1501. Let n = -14 - -11. Which is the smallest value? (a) 1\/12 (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**2 + s + 2. Let h(u) = 2*u**2 - 5*u**2 + 2*u**2. Suppose 28 = -9*n + 4*n - 4*p, 0 = 2*n - 4*p. Suppose 0*o = 2*o + 2. Calculate n*h(r) + o*b(r).\nAnswer: -2*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15385, 61719, 138943, 247057?\n\"Answer: 15445*h**2 - h - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/49 + -1)*(-7 + (-350)\/(-75))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 4*p**2 - 9*p - 5. Let t be c(-10). Let s = t + 869. Let w = 925 - s. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82 (base 11) to base 4.\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1*1\/196)\/((-301)\/25628). Let b = 2\/343 - t. Put 5, -0.1, b in decreasing order.\nAnswer: 5, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -14. Let b be 588\/(-1078)*3*(-110)\/45. What is the greatest common factor of b and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (675\/(-20)*2)\/12 and -55\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**4 - 3*j**4 + 2*j**4)*(-1 + j + 1) + ((96 + 59*j - 96)*(-36 - 9*j + 72 - 34) - 3*j**2 + 7*j**2 + j**2)*(2 - 2 - 2*j**3).\nAnswer: 1051*j**5 - 236*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3366 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21731*n**4 - n**3 - n**2 + 2*n + 15702 wrt n.\nAnswer: -260772*n**2 - 6*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/30*-3)\/((-10)\/70)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**2 + 43*r - 155. Give h(-11).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -29d2a (base 16) to base 2\nAnswer: -101001110100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a7b85 (base 12) to base 9.\nAnswer: -785612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 + 47 = -16*s - 56*s. What is the third biggest value in -1, -23, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/1)\/(((-30)\/25)\/(-3)*-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*z + 2*z + 754, 1494 = 4*i - z. What are the prime factors of i?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q + 2*q + 3*q + (-6 + 3 + 2)*(q - 2*q - 2*q) + (0 + 4 - 3)*(0*q + 2*q + q) in the form s + b*q and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3756 divided by -939?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6146566 (base 7) in base 8?\nAnswer: -2632700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49946749?\nAnswer: 49946749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19668.69 litres?\nAnswer: 19668690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-2)*(0 + 4\/2). What is the smallest common multiple of ((-8)\/c)\/(9\/(-27)) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108705 - f**3 + 108705.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 161?\nAnswer: -27\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 11*y + 3. Let h be r(-12). Let k(b) = b**3 + 8*b**2 - 20*b - 39. Calculate the remainder when k(h) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 340907884 and -2.\nAnswer: 340907882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3741 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3 + 5*w - 2 - 4*w. Let n be f(1). Suppose -3*r + 0*t + 4*t + 14 = 0, 2*t - 14 = -n*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffq when three letters picked without replacement from sssffysfsqffsqszs?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 9*r - 30 = 0. Let b(t) = 5*t**2 + 6*t - 6. Let o(j) = -14*j**2 - 17*j + 17. Let k(z) = r*o(z) - 17*b(z). Let x(v) = -47*v. Determine x(k(s)).\nAnswer: 47*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -647875935826 minus -0.1?\nAnswer: -647875935825.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 194433400 to the nearest 100000.\nAnswer: 194400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77678683 is divided by 2829.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 14722 = -s + 3608, 4*v + 5*s = 22228. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292\/36 + -11 + 416\/(-1638) + 12\/84?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6363\/79225 - -1\/3169. What is the second smallest value in 1\/3, 6, f, 5, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 4. Let x(y) = -2*y + 1. Let z be x(2). Let h be n(z). Let w(m) = 2*m**2 - m + 1. Let p be w(h). Solve -1 + p = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*w = 2*h - 4, 4*w + 8 = -4*h. Solve -2*g + g + 1 = h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**2 - 129*q - 123*q + 1 + 501*q - 122*q - 120*q. Let v(w) = -2*w**2 + 4*w. Calculate -3*n(x) + 5*v(x).\nAnswer: -x**2 - x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 190373909559.7 and -2.\nAnswer: 190373909557.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 395820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2. Let i(s) be the second derivative of -2*s**3\/3 - s**2\/2 + 8*s. What is l(i(p))?\nAnswer: 16*p**2 + 8*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.4, 2\/107, -3?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 173 = 10*z. What is the smallest common multiple of z and 5?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.1, -5, -2, -1\/3862, -4, 17\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 3*5\/(-3). Suppose -4*r + 3*r = -f*l - 292, -4 = 4*l. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/4, 1\/4, 7695825, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2772 + 4?\nAnswer: -2766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3 - -9) - (-4 - (2 - 8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0*j + 2*j + 4)*(0*j + 6*j - 4*j) + 2*j**2 - 4*j**2 + 3*j**2.\nAnswer: 5*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 15 + -5 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 126140448 + 0?\nAnswer: 126140448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 11 = -16. Let u = 2 - p. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 + -62. Suppose 11 = -4*u - 5*p - j, 2*p = 3*u - 6. Solve 3*c - 3 + 15 = u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8) + 2754\/4536\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 22 = -f, -14*f + 5 = -19*f. Calculate the remainder when 38 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(272) + sqrt(102)\/sqrt(150) + -3*(-2 + sqrt(1700)))**2.\nAnswer: -258*sqrt(17)\/5 + 282922\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + 3*i**4)*(-1 + 6 + 1) + (-1 - 5 + 1)*(2*i**4 - 2 + 2).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -433430433 (base 5) in base 11?\nAnswer: -105a142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8208 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*h + 6. Put h, 1, -3 in increasing order.\nAnswer: -3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 135*j + 2468. Give f(-16).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/3) + (2136\/696 - 0).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g + 4. Let c be d(17). Suppose 24 = 4*h + 16, 3*h + c = 2*u. Suppose 0 = 4*x - 5*x + 83. Calculate the remainder when x is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l - 9. Let y(k) = k + 5. Determine 3*q(i) + 5*y(i).\nAnswer: -4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 61079230 to the power of 1\/3, to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1.6. Let b(q) = q - 28. Let x be b(0). Let o be 22*(-2)\/x - 2. Put o, 0.5, l in decreasing order.\nAnswer: 0.5, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3714 - -3706. Let h(o) = -o**3 - 11*o**2 - 19*o - 9. Determine h(t).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*h - 109. What is the greatest common divisor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.493082 to the nearest integer.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2450448 and 52598?\nAnswer: 41657616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/1187, 3, 6, -0.1, -4, -2 in decreasing order.\nAnswer: 6, 3, 1\/1187, -0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t - 50. Let q(n) = -2*n + 100. Let p(k) = -k**2 + k + 6. Let f be p(3). Let x be q(f). Calculate the highest common divisor of t and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Let h = -7940 + 7937. Let s be (-14)\/(-189)*9*(v - h). Solve 5 = -3*u + s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-3)\/6 - 0). Let m = -1 + u. Let o = m + 2. Does 0 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153821 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 + -0.97. Let v = -23.8 - -23.4. Let t be (-2)\/(-10)*10\/(-8). Which is the nearest to g? (a) t (b) v (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33549586*w - 229617716.\nAnswer: 33549586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/6793908 and -29\/1038738?\nAnswer: 251374596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2338475 times 246\nAnswer: -575264850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -2275 in descending order.\nAnswer: -3, -5, -2275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2001*n = -2494*n + 12325 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1*sqrt(312)*4)\/sqrt(6))\/(-4*(sqrt(144) - (sqrt(144) + 1*sqrt(144)))).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-171825)\/3825)\/(-79)*17.\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*n = 5903 - 283 + 9384 for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.6728 rounded to zero dps?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 + 88*u**3.\nAnswer: -4*u**3*(u - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 - -80. Sort 5, y, -1, -0.3.\nAnswer: y, -1, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 864 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -433.4 + 2.4. Let t = l - -430.99802. Round t to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -543 divided by 21\nAnswer: -181\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j = -24*j + 4*c + 500, 333 = 2*j - 3*c. Solve -30*x + 6*x = j for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 100, -4, 0, -1\/11 in increasing order.\nAnswer: -4, -0.1, -1\/11, 0, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 290*w + 2*w**3 - 2*w**2 - 5*w**5 + 3*w**2 - 68*w - 177*w**4 - 106*w - 7 - 2*w**5 wrt w?\nAnswer: -420*w**2 - 4248*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 271\/14*66 + 6\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**4\/42 + v**3\/7 + 2*v**2\/7 + 3*v + 2. Let p(r) be the first derivative of q(r). Factor p(u).\nAnswer: 2*(u + 1)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 120314009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212200 + 10111010222?\nAnswer: 10112000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 9:20 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 2*b + 3*b)*(-5 + 1 + 5) - 582*b - 417*b - 199*b - 294*b + 215*b to p*b + u and give p.\nAnswer: -1275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4 - z - 13*z - 15*z. Let p be s(-5). Suppose 38 = y + w, -4*y - 2*w + p = -w. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/173 + -119\/4671. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -195 (base 14) to base 10.\nAnswer: -327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 219080000 rounded to the nearest 1000000?\nAnswer: 219000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 5188424.\nAnswer: 103768480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 7:29 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 26*y**3 + 3*y**2 - 64*y + 221. Is r(24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -4*r + 10, -3*r + 31 = 3*x + 25 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 25 (c) 173786 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -10211?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 159 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961 is divided by 324.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*j**2 - 325*j + 325*j in the form t*j**2 + v + y*j and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 720855571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (38 - (59 - -50)) + 98\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 12. Let r = -7 - g. Sort -2, 4, r in decreasing order.\nAnswer: 4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from {t: 10, o: 1, s: 3, z: 2}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 8. Let y be (9\/((-18)\/4))\/(5 - 1 - -2). Put u, 0.08, 1.1, y in descending order.\nAnswer: 1.1, 0.08, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 981738, 981741, 981744?\n\"Answer: 3*d + 981735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 11\/2, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2975 and 700.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -0.68?\nAnswer: -0.0272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 9:16 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 414987 and 284795?\nAnswer: 14524545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6567\/26 + -372157\/1430. Let h = p - -102\/11. Suppose -4\/5 + 2\/5*d**3 + 2*d - h*d**2 = 0. Calculate d.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-18))**(2\/9)*o**(15\/4)\/o**(-13) assuming o is positive.\nAnswer: o**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 576 - 564. Put 1, -2, x, 2 in descending order.\nAnswer: x, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -10*m**3 + 2*m**2 - 2*m + 1. Let a be i(1). Let r = 11 + a. Let b be (-4)\/(-14) - (-22)\/21. Which is smaller: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) 3\/4 (c) -0.4 (d) -32 (e) 3\/7 (f) -10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -305, -612, -911, -1202, -1485, -1760, -2027?\nAnswer: -2286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14979 - -15681. Calculate the highest common divisor of 594 and h.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -8. Suppose 60 = m*b - p, 4*p + 51 = 4*b - b. Suppose 6 = 3*c + d, -5*d - b = -6. Solve r = -c*r + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -17 + 7. What is the second derivative of 0*h**z + 0*h + h**5 - 2*h wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**3\/6 - 5*v**2\/2 + 22*v. What is o(-9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 - -69. Let n = -461 + 463. Solve 3*b - b + 3*x = -13, 0 = n*b - x - a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5882 is divided by 240?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -4) + -17 + 6 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 243490878*l*x - 5*l - 11684660 wrt x?\nAnswer: 243490878*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1960, 1657, 1354, 1051?\n\"Answer: -303*o + 2263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 3*t**2 + 2*t**2)*(7342*t**2 - 3670*t**2 + 10133*t**3 - 3672*t**2).\nAnswer: -10133*t**5 - 20266*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49.06 - -45.06. Let s = -38 - -36. What is the third smallest value in s, -161, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 - s**2 - 2*s**2 + (-14 + 14 - 3*s**2)*(-56 + 108 - 93).\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -3 (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15565 + 50272. What are the prime factors of h?\nAnswer: 3, 23, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -948 and -21001?\nAnswer: 19908948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1953 is divided by 969.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 13) to base 10\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-57)\/60 - 45\/(-60). What is the closest to -0.1 in 3, i, 1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 220074871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.041 - -310.\nAnswer: 310.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 8 + 14 - 15 = -3*a, 61*f = -2*a + 797 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 18 - 136 = 0. Let r(k) = 21*k**2 + k. Let t be r(1). Calculate the greatest common divisor of t and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 > 8954\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -5*s + 1004. Let h = 44 + -31. Suppose -h*c = -8*c - s. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5318.38 + -2.\nAnswer: 5316.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2627 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/((-5)\/(-4)) + 0. Let d(z) = -z**3 + z**2 - 1. Let n(v) = 5*v**3 - 4*v**2 - 2*v + 6. Let k(g) = g - 4. Let f be k(3). Give f*n(t) + x*d(t).\nAnswer: -t**3 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2120*p - 2324*p + 4438*p.\nAnswer: -6*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 12*n + 256. Let k = 94 - n. What is the greatest common divisor of k and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45143400 or 45143401?\nAnswer: 45143400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + -8 + (-10)\/2605. Is 1 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 94*u**2 - 15*u + 11. Let n be 4\/6 - 612\/(-54). Is p(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 + -0.25. Sort 0.2, 2\/13, -2\/9, g in increasing order.\nAnswer: g, -2\/9, 2\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/64 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - u - 3*j - 40, -2*u - 5 = -j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 2*i. Let z(w) = -3*w. Let u(q) = -5*q - 18. Let s be u(-3). What is s*v(l) - 2*z(l)?\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 5*y - 11. Let v be g(7). Solve 0*b - 3*b + v = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498*d + 470 - 125 = -530 - 121 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*n + 91*n + 40*n**2 + (-2*n + 0 + 0)*(n + 2*n - n))*(0 + 43 - 3).\nAnswer: 1440*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 24 - 6 = 0. Let f(i) = i**2 - i - 1. Let h(v) = 10*v**2 - 3*v. Let c(g) = -3*f(g) + h(g). What is the units digit of c(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -541, -1174, -1783, -2368, -2929, -3466?\nAnswer: -3979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (238 - 189 - 154)*(37*t - 39*t - 2 + 9) as w*t + u and give w.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from hbbhhhhhbxb?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79710*f*v**5 + 4*f*v + 80*f + 11 wrt v?\nAnswer: -1594200*f*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 850\/(-204)*30\/(-1500)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 = 2*p. Suppose 20 = -2*m + p. Let h be (-1)\/(-3) - 14397\/m. Round h to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01946636 + 0.0195. Round c to seven decimal places.\nAnswer: 0.0000336","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k*r**2 - 759*k*u**2 + 3*r**2*u**2 - 27915*r**2*u wrt u?\nAnswer: -1518*k + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((0 + sqrt(3))*5 - (0 + sqrt(3) + 1) - (0 + 5 + sqrt(3) + sqrt(3) + sqrt(3) + 0)))**2.\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7173 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2229 and 27.\nAnswer: 20061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65.14233987 + 0.14206987. Let y = x + 65. What is y rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3460 is divided by 800?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1012053563 divided by -1439621\nAnswer: -703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**4\/2 - 7*k**3\/3 - k**2 - 22*k + 41. Let n(c) = -c**2 - 6*c + 1. What is the remainder when n(-5) is divided by m(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -828 + 827.999999034. Round d to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*y - 40. Let z(v) = -21*v + 6. Let k be z(y). What is the tens digit of (2 - k) + 0 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, 10, 0, -1, -153, 2 in increasing order.\nAnswer: -153, -10, -2, -1, 0, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-336)*-3*16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 - 28*u - 91. What is a(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1170, 2405, 3636, 4863?\n\"Answer: -2*i**2 + 1241*i - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*y + 110 = 0, 2*r + 3*y + 2*y - 109 = 0. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1249, 1026, 655, 136, -531?\n\"Answer: -74*x**2 - x + 1324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/199648488 and 103\/30715152?\nAnswer: 399296976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.12984782 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 289555 divided by 7\nAnswer: 41365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37783, 37777, 37767, 37753?\n\"Answer: -2*i**2 + 37785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 136 + -257. Let c = -27426.091812 - -27547.09181249. Let f = c + b. What is f rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6417\/67 = 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 5:57 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 13*l - 7. Let w be h(-12). Suppose w*r = 5*p - p + 5, -4*p = 4*r - 4. Let a(b) = -b + 9. Determine a(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2828 divided by 117591.\nAnswer: 2828\/117591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 146 - 58 = 0. Let m(t) = -2*t + 3*t**2 - 2*t**2 + 2*t**2. Let j be m(2). Solve j = h*u - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) - sqrt(13)*1)**2 + sqrt(13))*-6 + sqrt(13))*-4.\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 279075*u**3\/4 + 139080*u**2 - 3657*u\/4 + 3\/2 = 0.\nAnswer: -2, 1\/305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k + 5. Let b(o) = o - 1. Suppose -l + 11*l - 50 = 0. Suppose -5*x - 3*a + 13 + 14 = 0, -23 = -l*x - 2*a. Determine x*b(w) + h(w).\nAnswer: -3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5800960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-72)*345\/(-10))\/((-55)\/165)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 5*i**2 + 5. Let p be h(-5). Which is the third biggest value? (a) p (b) 2\/9 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2\/(a\/(((((a*(a*a\/(a*(a*a**(-2\/11))\/a)*a)\/a)\/a*a*a)\/a)\/a)\/a)*a))\/(a**(3\/4))**1 assuming a is positive.\nAnswer: a**(-25\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8*i + 1. Let x be z(-3). Let b = x + 32. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 14*l. Let g(m) = -168354*m**2 - 8*m + 1. Calculate g(d(n)).\nAnswer: -32997384*n**2 - 112*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 3*v**2 - v. Let g be j(2). Suppose 0 = 2*x - 2 - 2. Let w be (-2967)\/(-15) + x\/10. Calculate the greatest common divisor of w and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**3\/6 + 28*h**2 - 22*h. Suppose 3*v - 2*y = y - 12, -3*y + 12 = 2*v. Does 8 divide j(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 - w**2 - w + 2. Let f(r) = 3*r - 18. Let d be f(7). Suppose 0 = -2*j + d*j + 2*j. What are the prime factors of h(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7283672.\nAnswer: 2, 11, 37, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -42*o**2 + o + 17. Let d(l) = -42*l**2 + 2*l + 15. Let u(m) = -6*d(m) + 5*h(m). What are the prime factors of u(-3)?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**5\/5 + 4*h**4 + 4*h**3\/5 - 84*h**2\/5 - 72*h\/5 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 935933 to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3 + (sqrt(272) + -1*sqrt(272) - sqrt(272)) - -5*(sqrt(272) - sqrt(272)*-1)*3)**2.\nAnswer: 928*sqrt(17) + 228768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3887366277 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4050 and 42525.\nAnswer: 85050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -7. Let k(p) = -p**3 - 3*p**2 - 5*p - 2. Let b be k(g). Solve -2*q - 17 = a - 4*a, b = 3*a + 2*q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91 + 519. Suppose -3*f + 15 = 0, -2*b + z = 2*f - 400. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306473205 equal to 306473205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -41b3 (base 14) in base 15?\nAnswer: -3554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 161235208 a multiple of 5848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-6)\/6)*2. Suppose i*w = 437 - 269. What is the highest common divisor of 12 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -569991, -569977, -569973, -569979, -569995, -570021?\nAnswer: -570057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2282086 to two dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 9 + 7)*(2 + 1 - 4 + c) in the form t + q*c and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - 3*l - 7. Let q be s(-2). Solve -r - q = 3*u, -2*u - 2*u - 17 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-10))\/(90\/150)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331811 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -182, -177, -170, -161, -150, -137?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 + 3. Suppose 34*j = 19*j + 90. Let f(c) = c**3 + 2*c**2 + 2. Give j*f(t) - 4*v(t).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21181?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 39*a + 131. Determine r(-18).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2880975 and 93625.\nAnswer: 2675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, -15, -27, -39, -51?\n\"Answer: -12*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*k - 178*k + 46569 = 0. Let r = -32 + 75. Calculate the greatest common factor of k and r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*w**2 + 56 - 56)*(-2 + 2 + 2)*(-13*w - 13 + 13) to o*w**3 + k*w + d*w**2 + a and give o.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 18 - 4 = 0. Let n = 44 + r. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 1:47 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(1 - 3\/(-6)). Suppose 0*x - 2 = -2*x, -b = 2*x - 5. Let t be b\/(v\/(-64)) - 2. Calculate the greatest common divisor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 - -1. Let w = 2.783 - p. Let d = -0.0128 - w. Round d to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**5 - 3241*l**3 - 20032*l + 2?\nAnswer: -80*l**3 - 19446*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95022 or 95023?\nAnswer: 95022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 3*b**2 - 2*b - 3. Let d be x(3). Let c = -9 - d. Is -3\/19 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(2*sqrt(11)) + sqrt(7) + 5*sqrt(28).\nAnswer: 23*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1502 - 1496. Let a be (236\/12)\/(3\/9). Let w(i) = i - a*i**2 + 8 + 58*i**2 + 4*i. What is w(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwdwwwwwdw. What is prob of picking 4 w?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 7067132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -80, -162, -204, -164, 0, 330, 868?\n\"Answer: 7*t**3 - 22*t**2 - 65*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(7)*-1*-4 + -2.\nAnswer: -2 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1799 - 734 = 44*s + 845 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 7. Let f = -12 - -7. Let z = 0.12 - 0.02. What is the closest to -0.1 in r, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22606 is divided by 628.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 4462?\nAnswer: 4465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1\/7 (c) -2\/5 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 4. Let j be 3\/(-1)*56\/b. Let h be (j\/3)\/((-6)\/9). What is the highest common factor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2192 - 2187. Let y(u) = u**2 + u - 34. Determine y(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 9:50 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1489 in -2\/5, 4\/9, 3.1, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 6. Let q(a) = 3*a + 17. Let c(u) = 2*q(u) - 7*s(u). Let o be c(-4). Is (-44)\/(-6)*(-30)\/o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -188.7041 and 0.030894614.\nAnswer: -188.673205386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + 0 + 0 + (0*x + 3*x - x)*(-2 + 3 + 1) + x + x + 0*x + 6*x - 2*x - 3*x + 2*x - x - 2*x - 5*x - x + 2*x + (-8 - 5 + 11)*(3*x - 5*x - x).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18433870 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7275726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 6\/1*-2) + -3. Suppose 0 = i*b - 10 - 4. What is the third smallest value in 3, b, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 less than or equal to 419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*w + 4145984 = 0, -4*w = 2*p + 1245027 + 7046989. Round p to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59*-177.7\nAnswer: 10484.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (82\/4)\/(98\/8 - (-44 + 56)). Solve 3*y - z + 81 = -2*b, y = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, f: 7}. Give prob of sequence nffn.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (148\/(-1221))\/(3\/((-18)\/4)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/(l**15\/l)*l)\/l*l**(-19\/2)*l*((l\/(l**10*l))\/l*l)**14)**(32\/5) assuming l is positive.\nAnswer: l**(-5136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -3*p + 1, 0 = -2*j + 1 + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*i - 1. Let y be -3 + 8 - (-2 + i). Differentiate 0*k - 5 + 2 - y*k + 2*k with respect to k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 k, and 1 n when three letters picked without replacement from xqnka.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6420470 and 490.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -8, -0.2, -0.3 in descending order.\nAnswer: 2, 0, -0.2, -0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + 0 + -2 + sqrt(2736) + sqrt(2736) + sqrt(2736) - ((sqrt(2736) - (sqrt(2736) - ((-1*sqrt(2736))**2 + 3))) + sqrt(2736)).\nAnswer: -2741 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z**3 + 44*z**2 - 126*z**2 + 1 + 44*z**2 - 75*z + 41*z**2 to v*z**2 + c*z + t*z**3 + d and give c.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1470, 0, -1\/24, 0.1, 1\/4 in decreasing order.\nAnswer: 1\/4, 0.1, 0, -1\/24, -1470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15746.12g in milligrams?\nAnswer: 15746120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 2, v: 1, d: 2, t: 1, s: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 + 483 = 3*f + 3*y, -3*f + 363 = 5*y. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 5:49 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-147.69.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, 3.8, -5, 0.4 in increasing order.\nAnswer: -5, 0, 0.4, 3.8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f. Let d(j) = -2935070*j. Give d(h(y)).\nAnswer: -2935070*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzxzzfxfpxzxxzxzbxp. Give prob of picking 1 f and 1 p.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {e: 1, q: 1, n: 1, j: 2, f: 1, s: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 59\/4 of a meter?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -22*n + 42. Let l(k) = 65*k - 125. Let i = -202 - -206. Let r(h) = i*l(h) + 11*j(h). What is the derivative of r(a) wrt a?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 21*q + 21*q - 75*q + 19*q + 19*q. Let i(b) = 283*b**2. Determine z(i(u)).\nAnswer: 1415*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*t + 7 + 20, 2*x + 9 = t. What is the tens digit of (2\/x)\/(2\/(-87))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*i - 2*i + 14 = 0, -4*i = -3*n - 14. Let v be ((-5)\/(-15))\/((-2)\/n). Find the common denominator of (-14)\/(-168)*11*v and -23\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.238253 take away 0.1?\nAnswer: -0.338253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-1936.\nAnswer: 1936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 11) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(sqrt(847) + -5 + 1 + sqrt(847)).\nAnswer: -15 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 77*p - 5. Let a(u) = 353*u - 23. Let m(j) = -3*a(j) + 14*c(j). Let l(w) = 57*w - 3. What is -6*l(q) + 17*m(q)?\nAnswer: -19*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138 - -209. Let b = 87 - o. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(12\/37) + 32\/128?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 209744370 by -110.\nAnswer: -1906767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25343041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3288 and 47812?\nAnswer: 39301464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*x**4 - 2)*(111 - 85 + 165).\nAnswer: 764*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.07, 937, 5\/3 in descending order.\nAnswer: 937, 5\/3, -0.07, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 23581?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5510*k**4 + 926*k**2 - 5.\nAnswer: -132240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j**3 - 10*j**2 - 124*j - 37. Is q(-32) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 0 + -1 + 18. Suppose 0 = f + 2*i - 7*i - 3, -2*f = -2*i - 14. Calculate the greatest common divisor of r and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -838, -1367, -2384, -3907, -5954, -8543, -11692, -15419?\nAnswer: -19742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -116032 less than -116044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 315 = 3*h, -21*y + 17*y + 1300 = 2*h. Suppose 0 = 7*l - y - 1185. Is l a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33469 divided by 1\nAnswer: -33469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*c + 6*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3541*m - 24802. Calculate r(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 5*a**2 + 6. Let d be k(-5). Let h = d + 6. What is the remainder when 46 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 4 = 2*n, -2*n = -q + 3*q - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158853 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1761280 and 30720.\nAnswer: 5283840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.105 (b) -1 (c) 0.5 (d) 0.086\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2414377986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25921 - 4847 = -24*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1188*l**3 + 432*l - l**2 + 476*l - 900*l wrt l.\nAnswer: 7128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/5 - -4)\/((-12)\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8986501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 6*v**2 + 5*v - 5. Let q be o(-5). Let s(z) be the third derivative of z**4\/12 + z**3\/2 - 241*z**2. Calculate s(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**7\/210 + 3*d**6\/20 - 11*d**5\/20 + 2*d**4\/3 + 978*d**2. Factor t(y).\nAnswer: -y*(y - 16)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 160042630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x. Let o be r(1). Suppose s - 3*u = 3, -2*u - 16 = 3*s + s. Let y be ((-4)\/(-3) - 2)*s. What is the greatest common factor of o and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Suppose p = -f*p + 165. Find the common denominator of 42\/11 and 6\/p + 2 - 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 142, 231, 324, 421, 522, 627?\n\"Answer: 2*s**2 + 83*s + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 377 or 375?\nAnswer: 375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*p + 9*p - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 - -0.2. Let p = 0.1 - 0.1. Let h be (-1)\/((-2 + 16)\/(-7)). Which is the third smallest value? (a) h (b) p (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h - 5*h + 2134 = -227*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 424*y**2 - 179*y + 91*y + 88*y - 2790*y**2 + 1494*y**3 wrt y.\nAnswer: 8964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-5)\/(5\/6). Let i(l) = l**2 - 9*l - 47. Let h be i(13). Put f, -1, -3, h in ascending order.\nAnswer: f, -3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v**2 - 535*v + 3809. What is p(-83)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2. Let z = 455 + -435. Let g(n) = -4*n - n - 16 + z + 2*n. Give g(h(a)).\nAnswer: 6*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -575*n. Let c(g) = 128*g - 81*g - 46*g. What is c(l(a))?\nAnswer: -575*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 885572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -5, 0.6, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.04.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/2 (b) 10\/9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 26*b**3 + b**2 - 2*b - 8. Calculate l(-2).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 324941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.194199778 to 4 dps.\nAnswer: -0.1942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2211 - 2031 + 4644)*(u + 0*u - 3*u).\nAnswer: -804*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 72972*h - 145955*h + 72972*h. Let q(n) = -n - 2. Let w be q(1). Let m(c) = -11*c. Calculate w*m(i) + 2*f(i).\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 44, 2\/5, 1\/31?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -68b0dc?\nAnswer: -68b0dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 y when four letters picked without replacement from yyyyyyyyyyyyyyyyyyd.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(700) + 3 + 0)**2.\nAnswer: -180*sqrt(7) + 6309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*4*2)**2 + ((sqrt(10) - sqrt(100)\/(sqrt(10)*4 + sqrt(10)))\/sqrt(2))**2.\nAnswer: 129616\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 359351*o**3 + 645*o**2 - 645. Let m(f) = -1116*f**3 - 2*f**2 + 2. Determine -1290*m(z) - 4*y(z).\nAnswer: 2236*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + w**2 + 2. Let g = -2 - -2. Let u be h(g). Let k(d) = -d**3 + 6*d**2 - d - 10. Let p be k(5). Solve 3*n + 3*i + 2 = u*i, -p = -n + 5*i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -917 - -914 - (-1 - -3) - 22\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28331 + -28291. Which is smaller: 924\/23 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175397 is divided by 5657.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004557994 rounded to 7 dps?\nAnswer: -0.0004558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -42*(-4)\/8 + -2. Suppose 3 = 4*v - j - 14, -4*v + q = -3*j. Is v > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -23*a**3 + 3*a**2. Let l(f) = 2*f**2 - 202*f + 782. Let m be l(4). Let g(q) = -254*q**3 + 34*q**2. Give m*g(k) - 68*d(k).\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -12*y + 2534. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(12) - ((sqrt(300) - sqrt(300)*-3) + sqrt(300))))**2.\nAnswer: 17\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21275.\nAnswer: 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 3 + 8)*(2*z + 4*z - 4*z) - 1 - z + 1)*(-26 + 2*z + 48 - 28) in the form b + p*z + o*z**2 and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 19. Suppose -20 = m*t, 5*r + 5*t - 55 = 35. What is the remainder when r is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 8 = -4*r - 11, 3*r = -3. Solve -5*o + 4*h = 9 - 0, -b*h = 4*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1226*z**2 + 3*z - 3*z - 1224*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60632 and 6552?\nAnswer: 3819816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 299*i**2 - 86*i. Determine j(1).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 + -44. Suppose 5*b + c*b = 255. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 776, 769, 762, 755, 748, 741?\n\"Answer: -7*m + 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 15*n + 1. Let m be s(11). Let w = m - -67. Let l = w + -20. Which is the second biggest value? (a) 1 (b) l (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 - 184 = -73*t. Let b(r) = -3*r**2 + r - 2. Let s(m) = -m**2. What is t*s(h) - b(h)?\nAnswer: -h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 6*x - 174 = 0. Let g = x - 25. Suppose 2*b - 10 = g*b. What is the third smallest value in 1\/7, 0.6, b?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2277587.32 to the nearest 1000.\nAnswer: -2278000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-584)\/438*2\/(512\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3*9*(-8)\/(-486))\/(7\/(21\/2)). Let s = 733\/15 + -49. Which is the second biggest value? (a) s (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o**3 + 11*o**2 + 9*o + 15. Let z(v) = 20*v**3 - 32*v**2 - 26*v - 44. Let a be 14\/(-28)*2*-17. Let j(t) = a*m(t) + 6*z(t). Is j(6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -97\/4369991 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**5\/35 - k**4\/14 + k**2\/7 - k\/7 + 2. Determine b so that n(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -259 + 182. Let o be ((-234)\/28 + 11\/i)*-2. Let z = 107 - -46. What is the highest common factor of z and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8849*u**3 - 15908*u**2 - 98221063 with respect to u.\nAnswer: -26547*u**2 - 31816*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*y - 2 + 13, -17 = -5*d - 2*y. Let p(w) = 2*w + 1. Let n be p(-3). Sort 2, n, d in decreasing order.\nAnswer: d, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 96864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50348 and 921?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + -1.8. Let a = g - -0.9. Put 0, 1\/7, a in descending order.\nAnswer: 1\/7, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83297.3g in tonnes?\nAnswer: 0.0832973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h. Let d(z) = 7171*z**2 - 1 - 7005*z**2 + 3. What is l(d(i))?\nAnswer: 332*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 528388, 1056774, 1585160, 2113546, 2641932, 3170318?\n\"Answer: 528386*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1009 - -7088\/7. Calculate the common denominator of d and -3 - (196\/48 + -4).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*d = 0, -r - 28 + 16 = -4*d. Solve -r + 0 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 + 82 = -3*u, 3*u - 40 = -32*v + 28*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = q + 2*o - 6*o, 0 = -q + 3*o - 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 64.6, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*y**2 + 5*y**3 + 4*y**2 - y**2 wrt y.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4905655 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75927*f + 967 - 79265*f + 2*f**2 - 967 - f**2.\nAnswer: f**2 - 155192*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/8*(-4)\/(-50).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1376, 5502, 12376, 21998, 34368?\nAnswer: 49486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from qiiiqqiiqqiiiiiiqqi.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a + 106 = -11*a + 322 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6)*o\/(o**(3\/2)\/o) assuming o is positive.\nAnswer: o**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + 77233?\nAnswer: 77210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2\/23, -0.1, 0.5, -5, 42 in decreasing order.\nAnswer: 42, 0.5, 1\/4, 2\/23, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -235.9881 - -236. Round q to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -5. Let y(n) = n**3 - n + 1. Let f(s) = s**3 - 3*s + 5. Let b(h) = d*y(h) + f(h). Find the first derivative of b(x) wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 31. What is the remainder when w is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**3*r**2*t + 81*i**3*r*t**2 + 2*i**2*r**2*t + i**2*r*t**2 + 26*i*r**2 wrt i.\nAnswer: 6*r**2*t + 486*r*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 6 + (1 - -17). Suppose 3*l + 2*l - n = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -332 or -309?\nAnswer: -309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21353755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 10*n**2 - 13*n + 7. Suppose -4*y - 18 = -54. Let d(q) = 7*q**2 - 3 - y*q + 7 + 1. What is -7*d(a) + 5*g(a)?\nAnswer: a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 12*d**2 - d - 1. Let g be p(-1). Suppose 15*a - 72 = g*a. Solve -4*l = 2*n - a, -8 = 3*n - 0*n - 5*l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (530\/(-20))\/(2\/(-568)) a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**2 + 247*h - 101. Determine p(48).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (47 - 16) + -27.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3819783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 8 - 53 + x**2)*(5 - 3 - 4).\nAnswer: -2*x**2 + 142","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3 + 70*t**2 + 388*t + 480 = 0. What is t?\nAnswer: -3, -2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f + 24*f + 8 = 0. Put f, -7, 1 in decreasing order.\nAnswer: f, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19250 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.76 and -5.\nAnswer: -3.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 6, i: 1, r: 1, c: 1, x: 1}. Give prob of picking 1 c and 1 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*o - 10. Let g be 4\/o + (-774)\/(-10). Calculate the highest common factor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/3)\/u*u*u*u**(4\/3)*u*(u**(-2))**(-11\/5) assuming u is positive.\nAnswer: u**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.940745 tonnes in grams?\nAnswer: 2940745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 14*t + 11. What is the units digit of n(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 155859*w**2 - 4*w - 4. Let s(x) = -x**3 - 5*x**2 - 3. Let v be s(-5). Let h be l(v). Let y = -652739 + h. Round y to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -3\/16 (b) -15\/7 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.011 (b) 3 (c) 2 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ycgyvgyyc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 25.62, 4, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 14 = 5*b, 15*b - 2*v = 16*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obnbbojbccobobbb. What is prob of sequence cnc?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**3\/8 + 57*p**2\/4 + 999*p\/8 - 1215\/4 = 0.\nAnswer: -9, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4536*r. Let l(x) = -10*x. Determine l(p(d)).\nAnswer: -45360*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 155. Let a be -2 - h\/(-6 + 3)*1. Let i = a + 60. Calculate the remainder when 14 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1230222112 - 310?\nAnswer: 1230221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 4*j + 4, 2*h + 4*j - 4 = -2*h. Let m be h\/2 + 1 + 4. Solve u - 20 = m*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -20*i + 23*i - 5*v, 5*v = -2*i - 4. Let m(a) be the first derivative of a**3\/3 - a**2\/2 + a - 2. Let r be m(0). Sort i, 5, r in descending order.\nAnswer: 5, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49756471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1\/47, 0.56 in decreasing order.\nAnswer: 0.56, 2\/7, -1\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 2 + 2)*(-62*h**3 + 11*h - 11*h).\nAnswer: 62*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*t**2 - 152*t**2 + 600*t**2 - 145*t**2 - 123*t**2.\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10719, -11179, -11633, -12081?\nAnswer: -12523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 27*r = 23*r - 140468, 0 = -3*d + r + 210737. Round d to the nearest 100.\nAnswer: 70200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1240*g + 1434*g + 42784 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 557 and -9902.\nAnswer: -5515414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**3 + 4*w**3 + w**3 + (-3*w + 1 - 1)*(3*w - 3*w + 4*w**2).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/11)\/(320\/(-72160)*246)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 718*l - 2895*l + 52 + 724*l + 728*l + 724*l.\nAnswer: -l + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -852.\nAnswer: -1\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 391273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aiaoabaaiboaaba. Give prob of sequence bbao.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 10. Suppose 8 = 2*o - 0*o. What is the lowest common multiple of o and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4335011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79629 is divided by 2946.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -69 + 3?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 1\/120*a**6 + 5\/24*a**4 + 0*a + 0 + 11\/6*a**3 + 3\/20*a**5 - 3*a**2. What is the units digit of m(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyeeyo. What is prob of picking 1 q, 1 o, and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 s, and 1 x when four letters picked without replacement from gsixiittgfxtxf.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 1. Let p(c) = 9*c + 4. Calculate 6*b(x) + 2*p(x).\nAnswer: 12*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9880 or 49401\/5?\nAnswer: 9880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2347 + 2349. Let g be (-10)\/(-35) + 1 + 52\/14. Solve -x + k = -5*d, 0 = -d + g*x - 4*x - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234*b + 1032719 = 383*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*d + 101*d + 74*d - 57*d + 234*d)*(0*d**4 + 12*d**4 + 3*d**4).\nAnswer: 6030*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 10. What is z(36)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-2 - -2)) + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -274 by 7.\nAnswer: -274\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.7 - -14.7. Let t be -18*((-1)\/21 + 0). Put 2, d, -6, t in increasing order.\nAnswer: -6, t, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/6 - (-8)\/12. Suppose -i*c + 472 = 2*c. Let v = c + -68. Calculate the highest common factor of 125 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-16))\/((-264)\/(-4224))*3.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 5*g**2. Suppose 0 = 3*j - 3*y + 21, 3*j - 12 - 2 = -4*y. Let r = j - -46. Suppose r*w + 10 = 42*w. Determine f(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**6\/45 + j**5\/120 - j**4\/24 + 7*j**3 + j**2 - 27*j. Let o(z) be the first derivative of n(z). Calculate o(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 9. Let m = 22 - 33. Let y be z(m). Let l(b) = 5*b**3 - 6*b + 8. Let w(u) = 4*u**3 - 5*u + 7. Let d(s) = -5*l(s) + 6*w(s). Give d(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.66 minus -0.57?\nAnswer: -21.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-428)\/642)\/(9\/((-567)\/(-12)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2, p - 23 - 14 = 2*d. Suppose 75 + p = 11*v. Suppose -5*o - v = 5*o. Is -2\/181 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4078 - 4052 = 4*s - y, -y = -5*s + 33 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18557 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(66) + -2*sqrt(66)))\/sqrt(3))\/(-3*(sqrt(242) - (sqrt(242)*3 + sqrt(242)))) + 0.\nAnswer: -sqrt(11)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 3, 1\/5, -16, 0, -2, -1.6393?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from {t: 2, e: 2, j: 4, u: 1, w: 2, l: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -3*n, 0 = -7289*m + 7288*m + 8*n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*m + 4*t, -61 + 86 = -5*m + t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(1\/4)*j\/(j*j**(-5)))\/(j*j*j\/(j*j**(3\/8)*j)*j**(-9)\/j)*(j*j*j\/(j**2\/j))**(-12\/7)*(j*(j**(-2)\/j)\/j)**(-2) assuming j is positive.\nAnswer: j**(1075\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.89 + -0.8. Let j = -0.38 + m. Let n = 0.289994 + j. What is n rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 73021, 73016, 73009, 73000, 72989?\n\"Answer: -t**2 - 2*t + 73024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.0432.\nAnswer: -0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -5*(-24)\/260. Let j be (-1)\/4 - (-174)\/(-8). Let y be 1 + j\/14 - 23\/(-28). Which is smaller: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 767 + -783.54. Let j = 5.16 - x. Let d = j + -21.69881. Round d to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2391 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + 3*sqrt(77)*-4)\/((sqrt(7) - (3*sqrt(7) + sqrt(7)))*1).\nAnswer: 11*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v = 2*v - 5*m + 25, -v + 2*m - 14 = -12 + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**5\/120 + g**4\/12 + g**3\/4 + 21*g**2. Factor c(t).\nAnswer: (t + 1)*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 4620*f**3 - 13887*f**2.\nAnswer: 3*f**2*(f - 1543)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 3*n + 1 - n**2 + 0*n**2 - 5. What is the units digit of j(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 2*p - 2 - 2*p)*(-1 - 27*p + 16*p - 3*p).\nAnswer: 28*p**3 + 2*p**2 + 28*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**4*(c**(-1\/4))**21)\/(c**(-7)*c**2*(c*c*c\/(c*(c\/(c\/((c**6\/c*c*c)\/c)))\/c*c*c*c)*c)\/(c**(-5)*c*c)) assuming c is positive.\nAnswer: c**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k + 0*k - 5*k + (4*k - 3*k - 4 + 8)*(10 - 3 + 0) to the form f*k + o and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 656263 (base 7) to base 6.\nAnswer: 2244344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 3, 0, -40 in increasing order.\nAnswer: -40, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -47, -154, -317, -542, -835, -1202?\nAnswer: -1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 8*t + 15. Suppose 10 = -z - i - 1, -i = -5*z - 49. Calculate o(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v**2 + 4*v**2 - 10*v**2)*(-1 - 1 + 4)*(1 - 1 + 2*v**2) + (-8*v + 2*v + 2*v)*(-2*v**3 - 3*v**2 + 3*v**2).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 908054610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j - 32*j = 49. Let m(r) = -2*r + 10. Determine m(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.95066 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -5, -0.2, -5\/3, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 11 + 7 + -13 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 4)*(a + 0 + 0) + (31 - 37 - 100)*(0*a + 0*a + 2*a) in the form q + y*a and give y.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/1 - (-3)\/(-1). Suppose 7 = -f*h + 9. Which is smaller: 4\/7 or h?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**5\/60 + 5*d**4\/12 + 8*d**3\/3 + d**2 - 19. Factor s(m).\nAnswer: (m + 2)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38 - 40) + (-27)\/(-4) - 6.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -594*c. Let x(k) = 2052*k - 4071*k + 2021*k. Determine x(b(a)).\nAnswer: -1188*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103682, 103731, 103782, 103835?\nAnswer: 103890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 10 and 16768\/1663 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29812, 59241, 88140, 116245, 143292, 169017?\nAnswer: 193156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -171153*c + 171145. Calculate f(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 1 = u + x, 0 = -4*x + 20. Which is bigger: 2\/19 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -4*j - 3*p + 67, 5*p = -6*j + 35 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5038381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 9425.\nAnswer: 9425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 2\/4*0. Let r(n) = -92*n + 1. Let q be r(t). Suppose 3*p - 6*p = -q. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 565456902 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*g + 17. Let c(f) = -3*f - 1. Let x(b) = 5*b + 2. Calculate g*x(v) + 7*c(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/17, 1, 2, 57, 5, -219 in descending order.\nAnswer: 57, 5, 2, 1, -2\/17, -2, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/100625 and -11\/575?\nAnswer: 100625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-9)\/(36\/(-8)). Let r(x) = -3*x - 10. Let s be r(f). Suppose 5*u = 4*i + 53, -u + 6*i - s*i = -17. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*w + 18 = -89*w. Suppose 2*g - k = -g + 8, -3*g = 4*k + w. Solve -g*p - 3*d + 4*d + 7 = 0, 0 = p + 4*d - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*l + 3*l - l)*(-4*l + 2*l + l) - 5*l**2 - 5*l + 5*l - 21 + 68*l**2 + 71*l**2 - 141*l**2)*(3 - 5 + 1)*(1 + 1 - 4).\nAnswer: -12*l**2 - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 13*b - 2*i + 112 = 0, 41*i - 16*i - 7 = 21*i - 3 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**3\/2 + 79083*w**2\/2 - 37008867*w\/2 + 110314773\/2 = 0. What is w?\nAnswer: -26821, 3, 457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -63*a - 1949. Let o be k(-31). Solve -4*p + 3 = p - 4*c, 18 = 2*p + o*c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*f**3*p**3 - 4706*f**3*p + f**2*p**3 + 12*f**2*p - 76*f*p + 8*p**3 wrt f?\nAnswer: 30*p**3 - 28236*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1069*c*f*h**3 + 2*c*f*m - 34*c*h**3 - 194*c*h**2*m**3 - c*h**2*m**2 + f*h**3*m**3 + 19*h**2*m - 13*h*m**3 wrt h.\nAnswer: -6414*c*f - 204*c + 6*f*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-12)\/((-3)\/1). Suppose 4*m + s - 15 = 0, m + 0*s - 3*s = -6. Let a(l) = m - 1 + 15*l - 5 + 1. Let x(j) = -7*j + 1. What is n*a(y) + 13*x(y)?\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.14, -0.02, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 392*p**2 + 357*p**2 - 745*p**2 + 12 + p**3 - 9*p. Calculate q(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 7:53 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**5 - 40*w**4 + 90*w**3 - 135*w = 0 for w.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21736 divided by 1\nAnswer: -21736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538805 is divided by 35920.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16083053243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -1, 2, -12 in decreasing order.\nAnswer: 3, 2, -1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 17*a**2 + 5*a - 5. Let w(y) = -13*y**2 - 4*y + 4. Let n(r) = -4*m(r) - 5*w(r). Let k(o) = -9*o**2 - 3*o**2 - 5*o**2 - 6*o**2. Determine k(n(h)).\nAnswer: -207*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 12554?\nAnswer: -12547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247627 divided by 144.\nAnswer: -247627\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29\/18 - -16\/9. What is the closest to 0.04 in 1, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 308057, 1231842, 2771485, 4926986, 7698345, 11085562?\nAnswer: 15088637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1610 = -4*w. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -10, -6*v + 2*i - 11 = -7*v. Let f be 4\/(-16)*-14*2. Solve 2*j + v + f = 2*a, 3*j + 3 = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161 and 8050?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 17*n**4\/24 - n**3\/2 + 3*n**2. What is the tens digit of p(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qtqttqtqqtttqx?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1373 - -1358. Which is the nearest to 0.2? (a) -0.06 (b) 3 (c) 1 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 165\/34 + -563\/102. What is the fourth biggest value in -2.1, h, 3\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -105)*(-26 - (-2024)\/77)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -33 - (0 - (6 - 3)). Let a be (-2 + -1)*4\/l. Let v = 0.6 + -0.4. Sort 5, v, a in ascending order.\nAnswer: v, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 5, 2\/9, 43.59, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/415 - -253\/415. Put f, -0.4, 37, -2\/7 in ascending order.\nAnswer: -0.4, -2\/7, f, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -41, -26, 9, 70, 163?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -614 + 604. Let d(n) = 13*n + 1. Let k be d(1). Let x be 52\/182 - b\/k. Solve 0 = 5*v - 6 + x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 124638.74 to the nearest one hundred.\nAnswer: 124600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j**2 - 29. Let g(o) = 19*o. Determine g(m(p)).\nAnswer: 114*p**2 - 551","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + 1337619040 - 1337619040.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1133, 2368, 3635, 4940, 6289?\n\"Answer: s**3 + 10*s**2 + 1198*s - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from {t: 2, b: 1, h: 4}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 304 + -481. Let l = -177.00186 - f. What is l rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 322862, 321691, 320520, 319349?\nAnswer: 318178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**4\/4 - i**3 + 2*i**2 + 5*i - 20. Let a be c(-4). Factor 39*k + 16*k**2 - k**2 - 59*k + a*k**3.\nAnswer: 5*k*(k - 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**2 + 2655*a - 46170 = 0. What is a?\nAnswer: 18, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/277 - 3605\/554. Calculate the common denominator of -83\/15 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5 = -4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(sqrt(272) + -2).\nAnswer: -8*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - 3*d - d)*(-4 + 4 - d)*(4*d + d - 4*d) in the form y + s*d**3 + v*d + u*d**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, u: 7, j: 1, d: 1}. What is prob of picking 2 e and 1 j?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2158716 * 2.03.\nAnswer: -4382193.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m + 7. Let j = -33 + 37. Is i(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 534 and -1.1.\nAnswer: -587.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(1 + sqrt(539)))**2 + 5 + (-1*(sqrt(539)*4 + 2))**2)*5.\nAnswer: 1680*sqrt(11) + 86365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-49) + (-2)\/7. Solve l = 5*m - 9*m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/169 or -42\/1625?\nAnswer: -42\/1625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -17*h - 8. Let l be -11 - ((-3 - 4) + 4). Does 32 divide b(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 506.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -21. Suppose -l = 5*n - k, -4*n + 0*n = -5*l - 6. Let v be (-42002)\/3 - l\/(-3). Round v to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 - 25*u**3 - 117*u**2 + 313*u - 170.\nAnswer: -(u - 1)**2*(u + 10)*(u + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**4\/3 - 1328*b**3\/3 + 7996*b**2\/3 - 10672*b\/3 = 0.\nAnswer: -1334, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -866\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095824845 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 5) to base 15\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -354353 and 69.\nAnswer: -24450357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - t - 30, 0*y + 45 = -5*y - 5*t. Let n = y + 124. What is the tens digit of (-169)\/(-9) + 26\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from {w: 2, y: 3, j: 12}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8855*c - 3589*c + 163246 = 0 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 + 4449 + x - 4449 - 9*x**3 to the form t*x**3 + i*x**2 + c*x + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -145*g - 2610. Calculate q(-16).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94 - -161. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -19*q**3 + 13*q**2 + 40*q + 17. Let j(l) = -9*l**3 + 6*l**2 + 18*l + 8. Determine -11*j(t) + 5*w(t).\nAnswer: 4*t**3 - t**2 + 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/13 - 285674*h\/13 - 4284660\/13.\nAnswer: -2*(h + 15)*(h + 142822)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 13\/4*p**3 - 7\/2*p**2 + 0 - 6*p + 1\/2*p**4 - 1\/4*p**5 = 0. What is p?\nAnswer: -3, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-219)*(132 + 2). Let r = 18413\/2482 - l. What is the common denominator of -7\/6 and r?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*u - 17 + 1 = 0, -2*u = -2*f - 2. Let z(d) = 2*d**3 - 11*d**f + 13*d**2 - 3*d**2 - 2 + 5 + 2*d. Let i be 4\/(5\/(10\/(-4))). Calculate z(i).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*a - 3134, 10*w - 5*a + 3124 = 7*w. Let h = w + 2036. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -508 - -506. What is the smallest common multiple of h - 0 - (-2 + -66 - -3) and 77?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/49680 and 49\/675.\nAnswer: 248400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 607482.9 millilitres in litres?\nAnswer: 607.4829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 - 65 - 98*r - 71.\nAnswer: -98*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/7, -2, -17?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.63 + -7.37. What is the biggest value in w, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/21, -3, -2\/5, 9, -0.3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 66\/(-77)*(-1 + -6). Suppose o*j + 0*j - 108 = 0. Solve 3*s = 5*k + j, -2*s - k + 2 = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(52)*3)\/(1*sqrt(324)) + -2 + 1*(sqrt(208) + -1 + sqrt(208) + sqrt(208))**2.\nAnswer: -70*sqrt(13)\/3 + 1871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + sqrt(1008) + -4 + (sqrt(1008) + sqrt(1008)*3)**2 + sqrt(1008) + (sqrt(1008) + -1)**2 + 3.\nAnswer: 12*sqrt(7) + 17136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06307 + 1.93693. Which is the fifth biggest value? (a) 0.3 (b) 3 (c) x (d) 124 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*(-120)\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -9*b**3 + b**2 + 1317*b - 6520. Calculate q(5).\nAnswer: -1035","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujfxxxfxjfjucuxxc. What is prob of picking 1 x, 2 j, and 1 c?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 2, -4\/9, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 23*q**6\/40 - q**5\/60 - q**4\/24 - 5*q**2. Let l(c) = c**3 - 50*c**2 - 2*c + 101. Let j be l(50). Is r(j) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 12:52 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6079297279 - 1.\nAnswer: -6079297280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*a**2 - 53 - 44 - 45 + 133 in the form w*a**2 + t*a + v and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 693 = -5*p. Let d = -91 - p. What is the tens digit of 99\/4 + 9\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 14398?\nAnswer: 1439a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325)*2 - (sqrt(52))**2*-4.\nAnswer: 10*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 7.3096?\nAnswer: -7.8096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 18, d: 2}.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -45*b - 10. Let k(a) = 91*a + 21. Let s(r) = -13*d(r) - 6*k(r). Let t be (-2 - 1)*2\/8*-4. What are the prime factors of s(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**3 - 1419*s**2 - 2850*s = 0.\nAnswer: -2, 0, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3297, -3337, -3377, -3417?\n\"Answer: -40*z - 3257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 8:10 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6270019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -1030?\nAnswer: -3090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -56.328 times -0.17\nAnswer: 9.57576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*v**4 - 48*v**2 + 4*v - 15.\nAnswer: 60*v**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/65 and -50\/32539.\nAnswer: 162695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02546 rounded to four decimal places?\nAnswer: -0.0255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 100011001?\nAnswer: -100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -4*n - n + 2*p, -n + 3*p - 13 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/7 - (-1805)\/1330. Let y(o) be the first derivative of 8 + q*o**2 + o**4 + 0*o + 0*o**3. What is the second derivative of y(h) wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*o + 8 = -5*l, 5*l - 4*o - 7 = 0. Let k(i) = -5*i**4 - i**3 - 3*i**2 + i. Let h(m) = m**4 + m**3. Let q(f) = l*k(f) - 4*h(f). Factor q(c).\nAnswer: c*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1244, -1997, -2746, -3491, -4232?\nAnswer: -4969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*i + 20 = 0, 4*w - 2 = -i - 6. Let n be ((-3)\/(-3))\/(130\/30). Is w >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174052 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from {a: 1, w: 3, h: 1, b: 2, c: 1, p: 5}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -345451*k**4 + 3*k**2 + 70559*k + 1?\nAnswer: -4145412*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1322314 (base 5) in base 6?\nAnswer: -323024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16d455 (base 15) to base 16.\nAnswer: -10e80c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003522396 rounded to five decimal places?\nAnswer: 0.00352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5932819793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r - 34. Let j be c(-6). Differentiate 40 - 113*g**j - 60*g**2 + 175 with respect to g.\nAnswer: -346*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -408, -2018, -3574, -5076?\nAnswer: -6524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, v: 4}. What is prob of picking 2 v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*f + 11, 5*o = 4*f - 0*f + 160. Let u = o - 31. Solve -13 = 4*n + 3, 5*g = -5*n - u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 1677*v - 14 = -1679*v, 2*v - 20 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 376636780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence appp when four letters picked without replacement from {a: 2, p: 9}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by ((-6)\/(-12)*-6 - -7) + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in 0, 10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19086926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 16*v**2 - 59*v - 6. Calculate d(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/15 + 3\/9. Let k = -112 - -1458\/13. What is the nearest to -0.1 in j, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 3348.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**5\/60 + 5*n**4\/12 + n**3\/2 - 83*n**2. Let w(o) = -o**2 + 1. Determine 2*f(b) - 4*w(b).\nAnswer: 2*b**2 + 20*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3162 + -3161.994809. What is z rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.372783 kilometers in centimeters?\nAnswer: 337278.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 90575.62 milligrams?\nAnswer: 90575620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 987, 994, 1001, 1008, 1015?\nAnswer: 1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + 73. Let f = -351\/4 + i. What is b in -3\/4 + 3\/4*b**5 + 3\/2*b**3 + f*b**4 - 3\/2*b**2 - 9\/4*b = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + 4*2*sqrt(108) + sqrt(108) + -1 + 2*sqrt(108))*5)**2.\nAnswer: -3600*sqrt(3) + 388825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8417 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/2 - 420\/120. Suppose a = 14*u + 26 - 110. Let n = 20 + -12. Sort u, -1, n in decreasing order.\nAnswer: n, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 8754\nAnswer: -7\/4377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 992891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 + 6*n - 3. Let b be (16 - 1 - 2)*1. Let i(h) = 4*h**2 - 13*h + 7. Let l = -58 + 64. Give b*r(z) + l*i(z).\nAnswer: -2*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 0. Suppose 0 = 4*y - 4*j - 11 - 9, 3*y - 4*j = l. Suppose y*x - 2*u = -7*u + 255, -x = -4*u - 36. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + -3 + 1178 + -1186?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1919*r + 1536236 = -1867*r. List the prime factors of r.\nAnswer: 31, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -5)\/((-3)\/(-9)). Let d(v) = v**2 - 5*v + 2. Let l be d(6). Suppose 0 = 3*g - g + l, 5*g + 20 = -2*h. Solve z*u + 9 + h = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((2 - 3) + 4 + (-111 - -138)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -173*b**3 - 12*b**2 - 22*b - 151. Is u(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-41492)\/573804)\/((-1 + (-3)\/(-2))\/3) and 13\/231.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4354 - 0?\nAnswer: -4354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(4 + 10 - 3)*(-w - 23*w**3 + w).\nAnswer: -506*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3424019.\nAnswer: 3424019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 13 = 26. Suppose 11*j - w*j + 38 = 0. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006216 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 481?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 2*c + 0*c. Let x = -1 - -1. Let y(s) = 4*s + x*s + 3*s. What is 5*u(i) + 3*y(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 9*i - 78. Calculate g(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11210 (base 3) to base 6\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2970 and -543.\nAnswer: 2427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 10884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 281*z - 36*z - 51*z - 110*z. Let a(i) = -2*i. What is o(a(s))?\nAnswer: -168*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26769\/4*(943\/(-69) + 15).\nAnswer: 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 326\/13 - 1713\/130. Let q = -24583\/8 - -3069. What is the common denominator of z and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 3*m**3 + 14*m**2 - 4*m**2 - m**2 - 9*m.\nAnswer: -3*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 15. Let q(i) = i**3 - 6*i**2 - 9*i + 2. Calculate q(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)\/sqrt(4) + (sqrt(2)*-2)**2*-1 + sqrt(2).\nAnswer: -8 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 17*t - 39. Let r be u(14). Solve 3*p = -0*p - r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 15, r: 3}. Give prob of sequence dddd.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49104 and 8804?\nAnswer: 3486384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 278, 424?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 6:27 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 - -116. Suppose 0 = 7*d + x*d - 36. Solve -2*t = -5*g + 2*t - 6, 2*t + 10 = -d*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/6 + 11\/2. Let h(r) = -6*r - 2. Let m be h(-2). Let l = m - i. Sort -1, 0, l in increasing order.\nAnswer: -1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10334570 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3132031 (base 4) to base 9\nAnswer: -21451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*(sqrt(96)\/sqrt(2) + sqrt(48) - sqrt(48)) + -4)*2)**2.\nAnswer: -9216*sqrt(3) + 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*sqrt(187)\/(sqrt(22)\/sqrt(2) + sqrt(11)) + 6*(sqrt(272)*1 - sqrt(272))**2)*6.\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 11 = -k - 2*w, 0 = -5*k + 5*w + 10. Suppose -k*g - 2*g + 45 = 0. Suppose 0 = -2*f + r + 15, r - 6 = -3*f + g. What is f rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 less than -294679092980?\nAnswer: -294679092980.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.69 (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(48)*1)**2 + sqrt(33)\/(-6*sqrt(176) - sqrt(11) - sqrt(11)).\nAnswer: -sqrt(3)\/26 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(((-10)\/(-2885))\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 - 23ab7?\nAnswer: -23a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*p + 6. Let q(m) = 5*m**2 + 10*m - 28. Let n(z) = -9*z**2 - 20*z + 55. Let l(b) = p*n(b) - 7*q(b). Let x be l(-12). Is -15 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*r = 1406*r + 3084 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12 (b) -1 (c) -3\/2 (d) 0 (e) 70 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1254379\nAnswer: -4\/1254379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/135 + (-515)\/(-927)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 1166*f**3\/3 + 886. Let q(s) = 2*s**2. Calculate q(j(t)).\nAnswer: 2719112*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**3\/6 - d**2\/2 - 6*d - 1. Let h(s) be the first derivative of w(s). Is 5 a factor of h(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*-6 + sqrt(18)\/(sqrt(12)\/sqrt(2)) + sqrt(3))**2.\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 v when three letters picked without replacement from {h: 1, v: 1, z: 1, d: 5, w: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-1)\/(-2))\/1)\/(152\/382736) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.06 * 0.03.\nAnswer: -0.1518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2161*x + 4710*x + 2102*x as q*x + g and give q.\nAnswer: 8973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6317263 and 75001?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 44*h**2 - 41*h + 196. Let l be k(-45). Suppose -8 = f + 5*r, 3*f - 2*r + 6 - l = 0. Solve -3*a + 10 = 2*x - 5*a, 3*x - f*a - 10 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 8*j + 6. What is the smallest common multiple of 3 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 56511\/(-28) - (5 - 2). Let g = z - -2231. Let j = 681\/4 - g. What is the common denominator of j and -57\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 540 - 33?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 28?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -301 + 201. Let y be (-18)\/12*p\/6. Let n = -10 + y. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 23*b**3 + 119*b**2 + 18*b - 6. Give m(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -207, -414, -621?\n\"Answer: -207*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3680*j**3*o + 8*j**3 - 2*j**2*o**2 - 114*j**2 - 4*j wrt o.\nAnswer: -3680*j**3 - 4*j**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24584195 is divided by 686?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 14*t - 5*t - 4*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14114451 (base 7) in base 14?\nAnswer: -2632d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33911 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 5. Let y be k(-5). Sort 3, y, 6 in descending order.\nAnswer: 6, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 35\/(-6))*(-1 - 1)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 498\/10 - 51 - (0 + -1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1312180 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 8*i**2 + 14*i - 8. Let g(b) = -4*b**3 - 25*b**2 + 43*b - 24. Let f(j) = -6*g(j) + 21*n(j). Factor f(w).\nAnswer: 3*(w - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104746092?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8006 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 2*b**5\/35 + 3*b**4\/7 + 8*b**3\/7 + 8*b**2\/7 + 196. Find z, given that x(z) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 3*i - 7 + 2*i - 5. Suppose 5*b - 30 = -4*a, -2*a + 2 + 8 = 2*b. Let z be o(b). What is the highest common factor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 12.0006747 hours?\nAnswer: 0.0714325875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-1)\/(-4) - (672\/(-66) - -10).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2782488674?\nAnswer: 2, 7, 198749191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 8 = 4*w, 3*j + 0*w + w = 12. Suppose 27*k + 1332 = 33*k. Suppose 37 = -j*m + k. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 10:31 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 11 = 3*h, 2*s - 4*h + 2*h = 18. What is the third derivative of -9*p**s - 33*p**2 - 25*p**4 + 5*p**4 wrt p?\nAnswer: -696*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*m**2 - 36*m**2 - 497*m**2 - 5570 + 5570.\nAnswer: -404*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 119*v**2. Let y be n(-1). Let l = 516 - y. What are the prime factors of l?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 209 - 217. Which is smaller: 0.9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -13 - (-3 - (-10 - -14)) - 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 199*u + 10 - 30 - 24*u in the form i*u + p and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.3 (b) 1\/3 (c) 11 (d) 10 (e) -0.5 (f) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 16 = 0, 0*m + 27 = 3*m - 3*d. What is the remainder when 22 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 - 153\/(-324). Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -49.37. Let y = -41.64 + i. Let s = y - -46. What is s rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 0*i**5 + 0 + 1\/336*i**8 + 5*i**2 + 1\/24*i**4 + 0*i**6 + 0*i**7 + 0*i + 0*i**3. Find the second derivative of u(q) wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 330\/1155 - 6\/7. Let o = 13\/15 + -46\/105. Which is the closest to -3? (a) 1 (b) 0.4 (c) o (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.027 - 20.973. Let f = 21 + i. Let g be (2\/24)\/(9\/24). Which is the nearest to 0? (a) -2\/5 (b) g (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*u - 178*u - 12 = 0. Find the common denominator of (-8 - (u + -25)) + 16\/(-14) and 9\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -188*n**3*v**3 + 5*n**3 + 44*n**2*v**2 + v**3 - 2*v**2 wrt v.\nAnswer: -1128*n**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*f - 5, 0 = k + f - 34. Suppose -3*j = -j - k. Let h = 144 - 96. What is the highest common factor of j and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107234067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 2*n**2 + 3*n - 2. Let d = 4 + -2. Let g = d - 0. Give j(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 11*b - 12*b.\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v = 330 - 160. Solve 4*l + 16 = -9*k + 10*k, -5*l - 20 = -v*k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 8*j**2 + 40*j + 48. What is the remainder when y(19) is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-4))\/((-8)\/(-16)). What is the closest to -2 in 0.04, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**2\/2 - 2. Suppose 6 = 2*c - 0. Let i(p) = -p**2 + c - 3. Give i(t(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 16) to base 15.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p - 65 = 0. Let b = 19763\/5742 - -54\/319. Calculate the common denominator of (p\/150)\/(4\/(-50)) and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Let v be 1\/(-3)*t\/(-1). Let m(p) = 7*p**2 - 2*p + 1. What is m(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 1\/4 (b) -2\/5 (c) -3 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 485 = -6*s + 6491. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**4 + 3*b**4 + 3*b**4)*(0*b + b + b) + 0*b**5 + 0*b**5 + b**5.\nAnswer: 7*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 2. Let b(m) = -34*m**2 + 2*m - 15. Let y(x) = b(x) + 9*q(x). Let t(u) = 16*u**2 - 3*u - 4. Determine -4*t(p) - 6*y(p).\nAnswer: 32*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -376378*w**4\/15 + 752744*w**3\/15 - 376354*w**2\/15 - 4*w\/5 = 0.\nAnswer: -6\/188189, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*b + 6, 3*n + b - 13 + 20 = 0. What is the closest to n in 3, -2, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {q: 1, c: 10, k: 6}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-16))**(-2))**(-4))**(-28\/5) assuming l is positive.\nAnswer: l**(3584\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Let n = 50.7 - 53. Let t = n - -0.3. What is the second smallest value in -5, c, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1\/7, -518079?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3436\/9 - 382. Which is the closest to u? (a) -6 (b) -0.06 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 1 - 44\/(-11). Let w be 9*-1*(-7 + 6). Solve -j + u*j = -w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 11:45 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -6 - (8 + (-2 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1747 is divided by 1738.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 21 = -4*v, -2*i = -3*v - 12 - 5. Let u = -2 - v. Which is the nearest to -1? (a) -3\/2 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - s. Let c be j(-3). Let i be (16\/c)\/(40\/12). What is the smallest value in i, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 + 5 + -5 + 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16116.\nAnswer: 2, 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3097218159 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3*(-2 + 30\/2)*-13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1287.97 + -1288. What is the closest to 0.1 in -5, 1, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51279*y + 26499*y + 26292*y to f*y + a and give f.\nAnswer: 1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**5 - 2*h**5 + 4*h**5)*(3 + 1 - 3).\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 33\/5 of a kilogram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 - 78.99999912. Round h to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 224 + -215. Suppose -i = -6*h + 3. Factor 2\/13*v**3 + 12\/13*v**h + 22\/13*v + 12\/13.\nAnswer: 2*(v + 1)*(v + 2)*(v + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8171 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53994118 is divided by 13498511.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 6*d + 6*d)*(0 + 1 - 3)*(11*d - d - 56*d).\nAnswer: 828*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -7*q + 3*u + 4, 0 = -q - u + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 16*u**3\/3 + 12*u - 1. Let c(h) = 5*h**2 + 4. Let j(t) = 7*c(t) - 2*w(t). Let n(k) = k**2 + 1. Calculate -j(s) + 4*n(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12528 is divided by 12508?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 11:47 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -418797\/2 + 209400. Factor -3*t + 3\/2*t**2 + 3*t**3 - x*t**4 + 0.\nAnswer: -3*t*(t - 2)*(t - 1)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*z**2 - 17*z**5 - 15*z**2 + 16*z**5 wrt z?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300*a + 300*a - 19267*a**3.\nAnswer: -19267*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\/(-4)*185*134\/(-4958)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - i**2 - i + 1. Let x(a) = -2*a**3 + 4*a**2 + 5*a - 2. Let p(n) = -n**2 - 8*n + 5. Let k be p(-9). What is k*f(r) - x(r)?\nAnswer: -2*r**3 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1560 - 9\/(18\/(-4)). Suppose -10*f + 164092 = c. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xm when two letters picked without replacement from fqamx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1820018986?\nAnswer: 2, 241, 3775973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - 2*f**4 + f**3)*(1 + 2*f - 1) - 2*f**5 + 2*f**5 - f**5 - f + f + f**5 + 0*f + 2*f**5 + 0*f - 4*f**5 + 0*f**5 + 5*f**5.\nAnswer: -f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -78, -339, -790, -1437, -2286, -3343, -4614?\n\"Answer: -o**3 - 89*o**2 + 13*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 13*n + 1709 = -14*n, -8531 = -5*m - 2*n. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8731902.986 to the nearest 1000.\nAnswer: 8732000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11782 and 1278547294?\nAnswer: 11782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -4. Suppose b = -4*m - 27. Let g = 2 - m. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 42*k - 3. Let t be x(9). Suppose 2*p + d - 14 = -3*p, 5*d + 14 = 3*p. Suppose -p*y = 2*q - t - 1054, -2*q + 1439 = 5*y. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + 162*d + 7081. Calculate u(-31).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (601\/(-3))\/(17\/(-51))?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -7, -9, -11, -13, -15?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1527678 + -3?\nAnswer: -1527680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 11:16 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.0915?\nAnswer: 0.02745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2311681 litres in millilitres?\nAnswer: 231.1681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 294, 0.1, -328?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/5012561?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 77951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.250258 + -1205843?\nAnswer: -1205840.749742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -0.1, -87, 4?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3\/21 - 836*w**2\/7 - 634882*w\/21 - 627376\/7 = 0. What is w?\nAnswer: -904, -347, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 10*m**2 + 293 - 9*m**2 + 9*m**3.\nAnswer: 9*m**3 + 293","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/5915 and -6\/5005?\nAnswer: 65065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -23*f**3 - f**2 - f - 1. Let s be a(-1). What is the highest common divisor of s and 220?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -3*m + 0*m**2 - 1\/540*m**6 + 0 + 1\/6*m**3 + 1\/90*m**5 - 1\/36*m**4. Let t(i) be the second derivative of g(i). Factor t(c).\nAnswer: -2*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2231, -4463, -6693, -8921?\nAnswer: -11147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15504823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4. What is the third biggest value in s, -4\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 981002 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1494, -5833, -13056, -23157, -36130?\nAnswer: -51969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 5) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 79.652\nAnswer: -84.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 20 = 3*q - 0, 5*q + k + 31 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 - -54. Suppose -23 = 5*i - 3. Let l(c) = -c**2 + 6. Let f(r) = 5*r**2 - 31. Let a(y) = i*f(y) + z*l(y). Solve a(m) = 0 for m.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 392 and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 252 + 2102?\nAnswer: 2354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312*1.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 5. Let g(i) = i + 247. Give -g(s) - 5*z(s).\nAnswer: -11*s - 222","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72 * -18.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 474, 886, 1302, 1722, 2146, 2574?\n\"Answer: 2*v**2 + 406*v + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 22585403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -15. Let l = -0.1 - -0.5. Suppose -z = 2*z - 4*o + 3, 2*o = -2*z - 2. Which is the closest to -0.1? (a) l (b) z (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g - g**3 + 47*g**2 - 42*g**2 - 2 + 4*g to the form y*g + j*g**2 + s*g**3 + m and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 6*x. Let g be p(5). Suppose 25*j = -80 + 5. Put j, 2, g, -29 in increasing order.\nAnswer: -29, g, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15527538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + 0*s)*(((3 - 3 - 9)*(-89 - 81 + 130) + 3 + 1 - 5)*(4*s - 2*s - 3*s) + (2 - 2 + 2)*(-3*s + s - s) + 0 + 0 - s).\nAnswer: 732*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -5*a - 15. Put 2, a, -4, -5 in decreasing order.\nAnswer: a, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36\/19 + 546\/19*f + 92\/19*f**2.\nAnswer: 2*(f + 6)*(46*f - 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 5:00 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55.6 + -55.9. Put i, 3\/2, 1, 4 in decreasing order.\nAnswer: 4, 3\/2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*(2*sqrt(18)\/sqrt(3))\/(sqrt(18)\/(1*sqrt(9))).\nAnswer: 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 298309235131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3478432, -3478464, -3478498, -3478534, -3478572, -3478612, -3478654?\n\"Answer: -r**2 - 29*r - 3478402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -259967.5950680813 + -31124629.7349326587. Let h = 31384597 + o. Let v = h - -0.33. What is v rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 - 22*l - 9. Let f be u(6). What is the closest to f in 4, 0, 8, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*g - 19*g - 257*g - 1198*g**2 wrt g?\nAnswer: -2396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3667*j = -3683*j + 32 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, 2\/2827, 3, 5, -1.6?\nAnswer: 2\/2827","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11001010100 (base 2) to base 16\nAnswer: -654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z + 22*z**2 + 2*z + 9*z + 0*z as n*z**2 + l + g*z and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 61 - 184 + 306824*x + 63.\nAnswer: 306824*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/84*21\/6. Let j = 35\/186 - -20\/31. Which is the closest to 0? (a) p (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -556, -3, 0 in decreasing order.\nAnswer: 6, 0, -3, -556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - 15*g**4 - 2 + 2*g + 0*g - g**2 + 18*g**4 in the form v*g + o*g**2 + n + t*g**4 + h*g**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 12:11 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**4 + d + 9*d - 30*d - 17*d**5 + 10*d wrt d?\nAnswer: -340*d**3 + 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -145211*x**2 + 10024068*x wrt x.\nAnswer: -290422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2. Let i(k) be the first derivative of -5*k**3\/3 + 3*k**2 + 5*k + 10. Let p(l) = -4*b(l) + i(l). Calculate p(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, t: 2, a: 2, n: 3}. Give prob of sequence tn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 62*o + 721. Give n(-15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 279593964 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 + -84. Let r(h) = -17*h**2 - 8*h + 5*h**d + 2 + 13*h**2. Give r(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 7*u + o = -1017, 4*u = 2*o + 810. Suppose 198*m + 2658 = u*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -243 - 1002220?\nAnswer: -1003013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27511078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7)*d**3*(d\/(d\/(d\/(d**(-10)\/d))))\/((d\/(d**(2\/3)*d))\/d))**46 assuming d is positive.\nAnswer: d**(16376\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + l**2 - l**2)*(-2*l**3 + l - l) + (2 + 1 - 1)*(7*l**2 + 21 - 21)*(5*l**2 - 8*l**3 - 5*l**2).\nAnswer: -106*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2. Let s(v) = -568*v - 5. Let a(d) be the first derivative of 32234*d**2 + 568*d + 7. Let n(l) = -5*a(l) - 568*s(l). What is k(n(i))?\nAnswer: 161312*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*y - 136*y + 28*y + 81*y + 414*y**2.\nAnswer: 414*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 11*g - 5. Calculate the smallest common multiple of y(-10) and (-426)\/(-30) + -3 + (-34)\/170.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 164, 281, 428, 611, 836, 1109, 1436?\nAnswer: 1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 9*j + 4*j - 3*j - 4. Let u(r) = r**3 - 12*r**2 - 12*r - 16. Let l be u(13). List the prime factors of b(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2063065, 4126054, 6189043, 8252032?\n\"Answer: 2062989*v + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}