diff --git "a/data/dm_maths/full_data_2/10218_11255.jsonl" "b/data/dm_maths/full_data_2/10218_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10218_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (5*v + v**2 - 5*v)*(-1 - 2*v**2 + 1) + 71*v**4 - 21 - v**3 - 78*v**4 + 4.\nAnswer: -9*v**4 - v**3 - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - h)*(h + 0 + 0 - h + 3 - 3 + (3 + 0 - 4)*(-h + h + h) - h + 1 - 1 + 4 - 4 - h + h - 3 + 3 + h - h - h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -10. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -11, 182, 53 in descending order.\nAnswer: 182, 53, -11, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 30 = 6*u. Suppose -3*g - 97 = -0*p - 2*p, u = 2*g. Let y be (-4)\/(-10) + p\/35. Which is greater: -2\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 10 = -4*u + 9*r, r = -4*u - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-1))**27)**1)**(-6))**(-2\/3) assuming x is positive.\nAnswer: x**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.113846cm to millimeters.\nAnswer: 61.13846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 403\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 11 - 18) + 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 + 27*o + 286. Let h be g(-27). Calculate the greatest common divisor of h and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*j + 7 + 63*j**4 - 7*j**3 - 14*j - 67*j**4 to the form i*j**4 + g + t*j**3 + w*j**2 + b*j and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j - 4. Suppose -3*p + 6*x - x - 12 = 0, 2*x = -2*p - 8. What is the units digit of z(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31868?\nAnswer: 2, 31, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*((-5)\/(-6))\/5. Let h be ((-4674)\/(-10906))\/((-45)\/(-42)*2) - 2\/(-10). What is the second biggest value in 144, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 971186?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208537 - 421214 = -33*h + 311099. What are the prime factors of h?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 16*i**2 + 15*i + 19. Let m be s(-15). What is the third derivative of 13*r**2 - 3*r**2 - 39*r**4 + m*r**4 wrt r?\nAnswer: -480*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 6*x + 660. Let l be (-4)\/6 + 64\/x. Let a = 271\/8 + -34. Put a, 3, l in decreasing order.\nAnswer: 3, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2819471*z**3 + 741754*z wrt z?\nAnswer: -16916826*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.7 take away -547677091549?\nAnswer: 547677091560.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 2\/49, 1, -1\/2, -0.05?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**4 - 5*o**3 + 5*o**3 + (86*o**2 - 1211*o**2 + 146*o**2)*(-1 + 2*o**2 + 1) to f*o**4 + j + v*o + n*o**3 + i*o**2 and give f.\nAnswer: -1963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 22 = -76. Suppose -5*n = -5*k - 2*n + 7, 4*k - 2*n = 6. Put 5, t, k in ascending order.\nAnswer: k, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (130\/(-3003))\/((-30)\/66).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 l when four letters picked without replacement from vlvllvv.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3770318?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = 3*b - 2*b. Let m be (-2)\/(-5) + b\/(-5). Let n be -39*(3 + m\/9). Solve a - 5*q + n = -3*a, 5*a + 16 = -2*q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j + 4*j. Let x be (1*j)\/(16\/(-2)). Let c = -656401 - -1312797\/2. What is the third smallest value in -3, c, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 3*r + 9*w - 137, -4*r + 5*w + 175 = 0. Calculate the highest common factor of r and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33904671?\nAnswer: 3, 11301557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, l: 3, j: 2, h: 3, o: 4, s: 1}. What is prob of sequence jz?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 5134344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162, 160, 156, 150, 142?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328, 690, 1052, 1414, 1776?\nAnswer: 2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 145, 282, 419, 556, 693, 830?\n\"Answer: 137*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.9861 to 0 dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96.19224 - 0.04424. Let d = -96 + m. Round d to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 1.7, -3\/5, -0.98, -3, 0.3?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/12 and 77\/354?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -2\/3*z**3 + 1\/4*z**4 - z**2 - 2 + 3*z. Let m(g) = 4*g**2 - 1. Let o be m(1). Calculate d(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*j - 8*j - 4*j**4 + (1 + 5*j**3 - 1)*(3 - 2*j - 3) to the form b*j**2 + m*j**4 + i + n*j**3 + q*j and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 35 = -5*c, 6*d - 4*d = c + 8. Let l be (-10 + 17)*c\/(-7). Suppose -l*q = 4*q - 720. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-486 - -549) + 10 + -124.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -43, -101, -195, -331, -515?\n\"Answer: -u**3 - 9*u**2 + 6*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, -8, -63, -172, -353, -624?\n\"Answer: -3*u**3 + 2*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -6. Calculate the lowest common multiple of b and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -36114281, -36114282, -36114283, -36114284?\n\"Answer: -i - 36114280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.35 minus 31432263305?\nAnswer: -31432263299.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**4\/6 - x**3\/3 + x**2\/2 - 9*x. What is h(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44 + (-3 + (3 - 0))\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/60)\/(5696\/3115 + -2).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4993213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from hhhhthhthhht.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 78355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/56 and 82\/3297399.\nAnswer: 26379192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = -3*n, -n + 3*u = 1303 - 1288. Solve -1 - n = -5*c - 4*v, 0 = 4*c + 3*v - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 17318.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 629\/11 - 57. Let x = 44.4 + -44. What is the smallest value in 2\/7, x, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/112 and -115\/56?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.46? (a) 0.497 (b) -13\/4 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106 + -102. Solve 6*c - 6 = y*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - s + 406, -252 = -3*m + 2*s + 151. Let t = -124 - -124. Suppose t = -6*r + 3 - m. Which is bigger: r or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11611704 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/29, 2\/11, -0.21, -161.8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.1 (b) 0.8 (c) 2.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 6*w**2 - 3*w - 20. What is the remainder when 28 is divided by u(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 2:40 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.08 (b) -5 (c) 0.411 (d) 1 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2216 - 1456. What is the common denominator of (t\/(-9240))\/(2*(-1)\/(-6)) and 127\/42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -1\/240*u**6 - 1\/40*u**5 + 0 - 1\/24*u**4 - 35*u**2 + 0*u**3 + 0*u. Factor r(t).\nAnswer: -t*(t + 1)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f - 4. Suppose k + k + f*o = 6, k - 4*o = -8. Suppose 0 = 2*x + 5*n - 314, 2*x + n = -k*n + 314. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 - 11894\/(-5915))\/(342\/855) and -67\/117.\nAnswer: 10647","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/12300 and -119\/846.\nAnswer: 1734300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 2)*(3 + 3 - 4)*(-6 + 11 - 19)*(2*t**2 - 2*t**2 + t**2 + (-3*t + 2*t + 0*t)*(-4*t + 2*t + t)).\nAnswer: 336*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**4*f*f\/f**(-7\/5) assuming f is positive.\nAnswer: f**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + 1590. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 102?\nAnswer: eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -76*s + 35*s + 1 + 37*s. Determine i(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4186 divided by 598\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14991551 from -971327.\nAnswer: -15962878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.3, -13, 11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**3 - 138*u**2 - 261*u + 102.\nAnswer: 3*(u - 17)*(u + 2)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71313, -71317, -71333, -71367, -71425, -71513, -71637, -71803?\nAnswer: -72017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22044)\/(-1837)*45\/(-6)*(-2)\/(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 37672*n**4 - 75344*n**4 - 4*n + 37676*n**4 - n**2 - 3*n**3 + 0*n**2 to the form z*n**4 + d*n**2 + v*n + b + h*n**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -2\/3, 5, -3, -0.0459, -23?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35, -72, -105, -134?\n\"Answer: 2*b**2 - 43*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a = -2. Let o(i) = 2*i**3 - 2*i**2 - 1. Let d be o(3). Suppose a = 2*s - d. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 2*p**2 + 2*p - 3. Let r be w(-3). Suppose r*z = -z + 5. What is the third derivative of -b**5 - 4*b**5 - b**2 + 4*b**z wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + b - 1 = 0, 3*b + 2 = b. Suppose -o - p*o = -3. Suppose 10 = u + o. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -223 - -224 - (-15 + 86 + -7)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 20050*q - 140330. Determine b(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-18)*q\/(q\/(q\/((q**(5\/7)*q)\/q)))*q)\/((q\/((q*q**(-2\/7)\/q*q)\/q))\/q*q**(-1\/20)*q))**(-1\/59) assuming q is positive.\nAnswer: q**(-381\/1180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 277701*y**2 - 190601*y.\nAnswer: 555402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o**2 + 2 - 1 - 1.\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*a = -i + 21, 2*a - 6 = 0. Suppose i*h = -h + 32. Let f = -21 + 53. What is the highest common divisor of h and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 y, and 1 t when three letters picked without replacement from clytilmiy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.351832 to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*c + 1985*c + 4224 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(96)\/sqrt(3) + 2)**2 + (sqrt(50) + sqrt(1800) + sqrt(1800)*2 + 0)**2.\nAnswer: -64*sqrt(2) + 17906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5103 - 5106. What is the second smallest value in -2\/11, -0.2, 0, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2045*-0.3.\nAnswer: 613.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 1 + 9. Suppose 3*t + 278 = s - g*t, 0 = -5*s + 4*t + 1285. Suppose -4*p = -4, -5*i + 2*i + s = -5*p. What are the prime factors of i?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4490, -5, -360 in decreasing order.\nAnswer: -5, -360, -4490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 700.7968904 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 2*y - 1. Let z(n) = 7*n**2 - 2*n - 2. Determine 5*b(u) - z(u).\nAnswer: -2*u**2 - 8*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/10)\/(2\/4). Let f(w) = -4*w**2 - w**3 - 2 - w + 0*w**y - 3*w**2 - 1. Let k be f(-7). Solve -k*q + n - 17 = 0, 4*n = -q - 0*n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50124642 (base 7) to base 14\nAnswer: 79b192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 2:51 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189291477 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-12))\/(55\/66)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*i - 17 = 0, 16 = -5*g + 722*i - 725*i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -74007, -77081, -80155, -83229, -86303, -89377?\n\"Answer: -3074*t - 70933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 124*p - 114*p. Let r(d) be the second derivative of -d**4\/6 + 2*d**3\/3 - 3*d**2\/2 + d. Let c be r(2). Put 2, p, c in increasing order.\nAnswer: c, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/501347 and 43\/15708?\nAnswer: 6016164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 1\/2, 11\/7, -2\/17, 1\/5, 282?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 38. Suppose g*s = 24*s - 410. Which is smaller: 83 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 11*z - 29. Give u(14).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, -1, -190, -3, 4 in descending order.\nAnswer: 12, 4, -1, -3, -4, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1504 + -1.7382?\nAnswer: -1505.7382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1056 and 9144?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d - 1 + 1)*(-4 + 2 + 1)*(-3 - 4 + 3).\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/5 - 329*b**2\/5 + 5312*b + 82668\/5.\nAnswer: (b - 166)**2*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r = -141 + 130 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19, -107, -195, -283?\n\"Answer: -88*b + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**3 + 26*t**2 - 100*t + 39. List the prime factors of q(25).\nAnswer: 76289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(55)\/(sqrt(10)\/sqrt(2)) - (-2 + sqrt(275))**2 - (sqrt(77)\/(-4*sqrt(252)) + -1)).\nAnswer: -276 + 505*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/600589 and 45\/2201?\nAnswer: 18618259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.8888 milliseconds to seconds.\nAnswer: 0.0378888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*i + 50*i = -1463. What is the greatest common factor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23611 and 624005.\nAnswer: 4368035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (110 - 103) + (-166)\/22. Sort 0.29, -3, 3, t in decreasing order.\nAnswer: 3, 0.29, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1773*x**2 - x**3 - 1773*x**2 + 2*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 39. Suppose -3*t + 5*j + 34 + q = 0, 4*t + 4*j = 52. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z + 56. Let r be l(19). Is ((-55)\/r)\/((-3)\/(-636)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 14) + (1 - -2) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/255, -4, 277?\nAnswer: -2\/255","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-30)\/8)\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.06 + 0.06. Which is the biggest value? (a) 2\/7 (b) -3\/5 (c) 2\/9 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1899.5 + -1906. Let x be (-4)\/(((-4)\/5)\/(2\/15)). Which is the second biggest value? (a) j (b) -4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -474*f**2 + 13716*f - 1186*f**2 - 672*f**2 - 4205*f wrt f.\nAnswer: -4664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7811 and 3103?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72290 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -615*c**3*j**2 - 2*c**3*j + 3*c**3 - 2*c**2*j**2 - 150116*c*j**2 wrt c.\nAnswer: -3690*j**2 - 12*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 41 (b) 3993 (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1523 and -16.\nAnswer: 2.4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33152 is divided by 10923.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6731*k + 6731*k - 18*k**2.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0129376 to 4 decimal places.\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40a42 (base 14) to base 12.\nAnswer: -76116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 8\/345*q**6 + 1\/69*q**4 + 1\/161*q**7 + 0*q**3 + 30*q + 0 + 7\/230*q**5 + 0*q**2. Factor h(i).\nAnswer: 2*i**2*(i + 1)**2*(3*i + 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358 = -50*q - 1208 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3610764 and 4020?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/190 and -15\/8.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(2448)*6.\nAnswer: 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0082133 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11546111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16553, -65770, -147791, -262610, -410221, -590618, -803795, -1049746?\n\"Answer: i**3 - 16408*i**2 - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 11. Let s = r + -3. What is the biggest value in s, 2\/11, -15?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 9*y**2 - 13*y + 14. Let t be (-96)\/(-9) - 8\/12. Let d be v(t). Let p = d + 30. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Determine b so that 2*b + 2*b**p - 3*b**2 + 2*b**3 + 2*b**2 - 5*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 593, 592, 591, 590?\n\"Answer: -f + 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + p - p + (-3 + 0 - 2)*(5*p**4 - 5*p**4 - p**4).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2080)\/40 + 51)\/(382\/190 - 2)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 28 + 512 = 0. Suppose 0 = 3*g - 4*y - 102, -5*g = 3*y + 2*y - z. What is the greatest common factor of 40 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11068 (b) -3 (c) -0.06 (d) 2 (e) -5 (f) -19 (g) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t + 64. Let f(s) = 14*s + 320. Let m(y) = -2*f(y) + 11*u(y). Let w = 26 + -14. What is the smallest common multiple of w and m(-6)?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.253275 nanograms to milligrams.\nAnswer: 0.000000253275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 124\/30 - 240\/60\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-1*(2 + sqrt(448)) + sqrt(448)) + -3)*4)**2.\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwlwnnhgtgl. What is prob of picking 1 g and 1 h?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + k + 1 - 2)*(4 - 4 + 9).\nAnswer: 9*k + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 4*s**2 + 10*s - 4. Let t(n) = n**3 - 7*n**2 + 20*n - 7. Calculate -7*o(j) + 4*t(j).\nAnswer: -3*j**3 + 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/130*116\/(-87)*-4*(-3)\/96?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 g, and 1 i when four letters picked without replacement from oilkagg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 60 = -55. Let i = 173 + o. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -329\nAnswer: 164.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecddbdjcdqdee. What is prob of sequence cbjc?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) + sqrt(171)*2*-6))*-3*-4)\/(((sqrt(99) - (sqrt(99) - (sqrt(99) + sqrt(99)*1)))*-4)\/(sqrt(176)*-1)).\nAnswer: 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21125, 21127, 21129, 21131?\n\"Answer: 2*l + 21123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*2 - sqrt(102))*1 + sqrt(102) - 2*sqrt(102)*1)\/(5*sqrt(6)*-3 - -2*sqrt(384)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 929. Let f(t) = 205*t**2 + 145*t**2 - 745*t**2 + 202*t**2 + 196*t**2. Calculate f(m(c)).\nAnswer: 3*c**2 - 5574*c + 2589123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21996 = -88*b - 21644 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 2)*(-44*q**2 - 20*q + 20*q)*(-q - 3 + 3*q + 2).\nAnswer: -88*q**3 + 44*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38104 - -38290. Is i <= 183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120786*d**3 + 3147*d**2 - 3147*d**2.\nAnswer: -120786*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 2*d + 5. Let v be j(-5). What are the prime factors of (-6)\/30 - 192\/v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 0.2, -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.3 (b) 9\/4 (c) -1\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 27697*i + 26 + i**3 + i**3 + 3*i**3 - 27695*i - 3*i**4 as j + c*i**3 + b*i**4 + u*i**2 + d*i and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -6*b**3 - 6*b + 7*b**3 - 6 - b + b. Let h(j) = 32*j**2. Give h(q(s)).\nAnswer: 1152*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 = 7*q - 8*q, 5*q = 5*h - 45. Let b be (2\/(-3))\/(1\/q). What is the third derivative of 5*g**2 - b*g**6 - 4*g**2 + 3*g**6 wrt g?\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45043803 or -45043808?\nAnswer: -45043803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165) + -5*-1*sqrt(165))\/sqrt(5))\/(5*-2*sqrt(1331)).\nAnswer: -3*sqrt(3)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + u**3 + 7*u**4 - u + 0*u**4 + u to the form p*u**4 + d + o*u**2 + x*u**3 + c*u and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 537, 1779, 3839, 6711, 10389?\n\"Answer: -k**3 + 415*k**2 + 4*k + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0074956 rounded to four dps?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26311621?\nAnswer: 7, 107, 35129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 80114847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*i + 5*i - 3*i)*(2*i + 0 + 2 + 0*i) as n*i + c + v*i**2 and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**2 + 4*o**2 + 4*o**2 - 10*o**2 - 18 to the form r + g*o + u*o**2 and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 243*o**2 + 56*o + 12. Let p(b) = -246*b**2 - 48*b - 11. What is -6*c(d) - 7*p(d)?\nAnswer: 264*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 5, 0, -590 in increasing order.\nAnswer: -590, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -47, -42, -49, -74, -123, -202, -317, -474?\n\"Answer: -f**3 + 12*f - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-7) - 154\/(-1764)*-18. Put 0.7, -8, -3\/7, p in decreasing order.\nAnswer: 0.7, -3\/7, p, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/15)\/(p\/(p*p\/p**2*p)))\/(p\/(p\/p**0*p)*p*p)**28 assuming p is positive.\nAnswer: p**(-418\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/(24\/27) - (-33969 - (-12 + 24)).\nAnswer: 2, 3, 5, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71800894 to the power of 1\/3, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22120 (base 4) to base 11.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -34.4 and 0.5?\nAnswer: 34.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2850\/432 + (-4)\/18. Let o = -569\/88 + x. Is 0 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 3\/7, -0.23, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 410937 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - r + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4234 or -4344?\nAnswer: -4344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-2\/5)*u))**(-1\/14)\/(u**(2\/3)\/u*u*u)**(-4\/17) assuming u is positive.\nAnswer: u**(649\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - (-2)\/(-2))\/(-2). Suppose -6*z = -f*z. Suppose 63*i - 268 = -71*i. Solve -i*o + z*o = 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -660 * 0.3\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 575359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**2\/7 - 9063*x\/7 - 9060\/7 = 0.\nAnswer: -3020, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 - n**2 - n. Let r(j) = -54*j**3 - 6*j**2 - 6*j + 948. Let z(o) = -r(o) + 6*w(o). Differentiate z(p) with respect to p.\nAnswer: 126*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 7*u. Solve u*x - 5*m = -3*x + 5, -2*x + 12 = m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - ((-8)\/20 - 6\/(-15)). Let i = -5 - -5.4. What is the nearest to -0.1 in i, d, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34700.\nAnswer: 2, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15*0.122\nAnswer: 1.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3757*-189.9.\nAnswer: -713454.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -2) + (1 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 6. Let z be (-111)\/21 - (-2)\/7. Which is bigger: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 4, -2, -14, -32, -56?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdgj when four letters picked without replacement from {d: 7, g: 2, j: 4, o: 1, v: 2, w: 1}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327995 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27811, -5, -1976 in decreasing order.\nAnswer: -5, -1976, -27811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 12, -7*v + 3*v + a + 12 = 0. Suppose 3*m + v*u - 28 = 26, -5*m = u - 90. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2*f - 8 = 0, 2*x + 49*f - 54*f = -22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 42.57785 millennia?\nAnswer: 425.7785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/330*347 - (-6)\/45\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y. Let z(d) be the first derivative of 0*d**2 - 1\/20*d**5 - 1\/24*d**6 - 2 + 0*d + y*d**3 + 1\/8*d**4. Factor z(s).\nAnswer: -s**3*(s - 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 22*t - 106. Let w(y) = -15*y + 67. Determine 5*q(p) + 8*w(p).\nAnswer: -10*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-7 - -22) - (-64)\/30. Which is the second smallest value? (a) -1\/3 (b) x (c) 9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1130*x + 152*x + 734*x + 119*x)*(7*x - 4*x + x) in the form h + u*x**2 + w*x and give u.\nAnswer: 8540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l + 6. Let n(z) = 6*z + 5. Let d(y) = -5*i(y) + 6*n(y). Let p = -35 + 32. Calculate d(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 7*l + 44 = 0, 0 = 3*l + 37 - 25 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 521627821 to the power of 1\/2, to the nearest integer?\nAnswer: 22839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6 times 1796?\nAnswer: -6465.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233773 by 2.\nAnswer: -233773\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -32 + 538*k + 32 - 535*k. Let c(o) = -34*o - 14. Determine c(u(h)).\nAnswer: -102*h - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**3\/5 + 74*a**2\/5 + 68*a\/5 - 144\/5 = 0.\nAnswer: -36, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*c**2 - c**3 + 2*c - 3*c**2 - 5*c**2 + (4*c - 2*c - 4*c)*(-c**2 + 2*c**2 + 0*c**2).\nAnswer: -3*c**3 + 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 157?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9.0273 times -2\nAnswer: -18.0546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/12)*n)**(4\/3)\/((n*n\/n**(-2\/23)*n*n)\/n**(1\/7)) assuming n is positive.\nAnswer: n**(-1690\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**3 - 5*f**2 + 6*f + 7. Let q(k) = 6*k**3 + 5*k**2 - 7*k - 6. Let l(r) = -5*g(r) - 4*q(r). Let h be l(-5). Which is smaller: 2\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-25)*-5)\/(-16)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 6*y - 1. Let w = -25 - -41. Suppose -6*a + w = -2*a. Suppose -3*u - 3*l + 18 = 0, -3*l + 18 = 3*u - a*l. Determine p(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 51750979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -407510 to the nearest ten thousand.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2622030 = -15*g + 355575. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 312*a**2 + 8*a - 204. Calculate the remainder when w(-5) is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 43*b**2 - 17*b - 13. Let r(p) = 20*p**2 - 8*p - 7. Determine -13*r(c) + 6*z(c).\nAnswer: -2*c**2 + 2*c + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.04 (b) -11\/8 (c) 0.15 (d) -1.73 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42792597?\nAnswer: 3, 337, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 2. Suppose -3*q = -9 - p. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466.459 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m. Let z(c) = -15*c - 63. Let g(t) = 12*t + 45. Let x(k) = 4*k + 15. Let i(j) = 4*g(j) - 11*x(j). Let l(s) = 21*i(s) + 5*z(s). Calculate l(p(o)).\nAnswer: 63*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from dxnqderq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-5)*2\/(-6). Let m be 1\/8*(5 + -4). Put 1\/12, n, m in increasing order.\nAnswer: 1\/12, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1373 divided by -28640\nAnswer: -1373\/28640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugudcsed. Give prob of picking 1 g, 1 s, and 1 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16082 less than 3867023752?\nAnswer: 3867007670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s. Let h be u(1). Let m(k) = k**3 - 5*k**2 - 5*k - 5. Let v be m(6). Solve 5*o = v + h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2236860918?\nAnswer: 2, 3, 17, 19, 384737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 4:15 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 2:03 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + (1 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338979066?\nAnswer: 2, 3, 5009, 11279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -410300 rounded to the nearest 10000?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/32780580 and -167\/16390290.\nAnswer: 32780580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 518685\/61434424 - 41\/7214. Find the common denominator of -11\/6 and s.\nAnswer: 51096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -335, -539, -765, -1013, -1283?\nAnswer: -1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -87 - a11ca2?\nAnswer: -a12059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 573101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**3 - 91665*f**2 - 7905378*f = 0?\nAnswer: -86, 0, 30641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n**6*n\/((n\/(n*n\/(n*n**(-2\/13)*n)))\/n))**(10\/3)\/((n*(n\/(n*n\/n**5*n))\/n*n)\/(n\/(n\/n**(-1\/3))))**(12\/11) assuming n is positive.\nAnswer: n**(4164\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -86854435 at least as big as -86854433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 2*p**2 - 6*p**2. Let y(l) be the first derivative of -l**3\/6 + 7*l - 2. Let j(d) be the first derivative of y(d). What is j(r(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 = -803*a + 587*a + 23 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**12\/s*s)**6 assuming s is positive.\nAnswer: s**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 26*n = -91*n + 1442 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18653 and -2.1?\nAnswer: 18650.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -9 - (-114 - -117).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, r: 1, y: 4, o: 4, u: 6}. What is prob of picking 1 i, 1 u, and 1 r?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -3)\/(1 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k + 29. Calculate w(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**4 + 27*d**3 - 14530*d**2 - 20376*d - 5824 = 0.\nAnswer: -56, -1, -2\/5, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 262288599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19\/5737 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 9*b**2 - b + 76. Let w be d(8). Sort -4, 428, w in decreasing order.\nAnswer: 428, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 5*t + 2. Let n be u(5). Let w = 3 - n. Calculate the least common multiple of w and (-6 - 315\/(-49))*14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.123658 + -0.276342. Suppose 2 = 2*v - 0. Let l be v\/(-2) + (2 - 1). What is the closest to l in -1, p, 6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3 - 9 = 0. Suppose m*n + 0*o - o - 14 = 0, 0 = -5*n + 4*o + 28. Factor 1\/2*q**2 - 1\/2*q**5 + 0*q + 0 + 3\/2*q**n - 3\/2*q**3.\nAnswer: -q**2*(q - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3755101, 3755114, 3755131, 3755152?\nAnswer: 3755177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351249.\nAnswer: 3, 191, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 1)*(-6 + 3 + 2) + 0 + 1 - 3 - 4 + 3 + 2)*(n**2 - n**2 + n**2).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/422197 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 + -69. Let s = -15 - -11. Let r = 1 + s. Which is the closest to -1\/3? (a) -0.5 (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + -3. Let m be 0\/1 - (k + 2). Solve 4*g = -3*n + 5 - 1, -5*g = -2*n + m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*j + 34*j + 91*j)*(2*j - j - 2*j)*(1 + 2 - 2) as b*j + w + q*j**2 and give q.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.8 - 33.5. Let i = t - 7.7. Let m = -43.00003 - i. What is m rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2*q**(-1\/11)*q)\/(q\/q**(5\/6)*q**(-7)*q*q) assuming q is positive.\nAnswer: q**(511\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - (2 - -2)) + 40?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m. Let z(y) be the first derivative of -5\/3*y**3 + 0*y**2 + 26 + 0*y. Determine z(u(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48.6 + -48. What is the closest to -0.1 in g, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -407, -694, -989, -1292, -1603, -1922?\nAnswer: -2249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/10 of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22916*d + 4590 = -22970*d for d.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21104 - -62644?\nAnswer: 41540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -8.92 (b) -1\/4 (c) 3 (d) -5\/3 (e) 4 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*3\/((-27)\/(-6)). Let o be (-17)\/(-68)*-30*(10\/6 - 1). Put 0, 2, o, b in descending order.\nAnswer: 2, 0, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 132330 + 592072 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1669*u + 1666*u + 2*w = -19, -5*u - 4*w = -39 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 237978600 to the nearest one million.\nAnswer: 238000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-1 - 2\/4). Let f be (-2)\/12*-3 - (-1062)\/12. Let m = f - 620\/7. What is the smallest value in b, 5, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 54*r + 4 - 73*r + r.\nAnswer: -18*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(20)*1 + sqrt(5)))\/(((sqrt(108) - sqrt(12)) + sqrt(12))*5)*-1.\nAnswer: -sqrt(7)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1658\/327 - -698\/109. Solve -4\/3*c**4 - 4\/3*c + t*c**3 + 0 + 4\/3*c**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-2*k + 4 - 4) - 1 + 12*k - 26*k + 12*k.\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l - 3. Calculate y(15).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-7\/2)\/r)\/r)\/(r\/(r*r\/r**(-4\/13)))*r**0*r**(-2\/51) assuming r is positive.\nAnswer: r**(-5611\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102245 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1296?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) + -6*4*sqrt(34))\/(-1*sqrt(72)).\nAnswer: 23*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 3 in increasing order.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 552 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssss. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 8*i**3 - 3 + 3 in the form p*i + v*i**2 + t*i**3 + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27843 divided by -165.\nAnswer: 9281\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2171219*u - 710994?\nAnswer: -2171219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -32*q - 361. Let m(g) = -59*g - 721. Determine 6*m(j) - 11*r(j).\nAnswer: -2*j - 355","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(90) - sqrt(90)*-6)\/sqrt(2))\/sqrt(9))**2 + (sqrt(45) - sqrt(315)\/sqrt(7) - sqrt(125)*6).\nAnswer: -1470 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/2)\/((-18)\/9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*659.\nAnswer: 922.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -55d360 (base 16) in base 9?\nAnswer: -11522535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152.113 + -345690.113. Let v = 345552.9943 + p. Let h = 15 - v. What is h rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -24*v - 20. Let x(o) = -16*o - 13. Let g(l) = -5*h(l) + 7*x(l). Let q(y) = -2*y - 2. Let b(a) = -2*g(a) - 9*q(a). Let f(s) = 8*s. Give f(b(m)).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -73, -266, -589, -1036, -1601, -2278, -3061?\n\"Answer: z**3 - 71*z**2 + 13*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 12:27 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, x: 3, o: 2, v: 2}. Give prob of sequence og.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29706461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 318 + -113. Suppose -6*r + 5*q = -2*r - 855, -r + 3*q = -n. Suppose -r = -5*x - 4*w, -x = 5*w - 31 - 13. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-314534)\/(-4)*1\/(-9). Let r = -8734 - t. Find the common denominator of r and 83\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 9*k**2 - 2*k - 13. Let n be m(-9). Let c = -3 + n. Suppose 7000009 = -z + 3*g, c*g - 3*g = -2*z - 14000003. Round z to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*l - 3*o - 30, 6 = l - 2*o. Suppose -11 = -m + 5*t, 4*m + l*t + 8 = 5*m. Let g be m\/(-2 - -1) - 3. Sort 0, -1, g in decreasing order.\nAnswer: g, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*d = -350*d + 60 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1262 = -b - b + 4*s, 4*b - 2530 = 5*s. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*j + 49*j - 272473 = 0. What are the prime factors of j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 28*m + 2. Let a(d) = 85*d - 5. Let v(o) = a(o) - 3*s(o). Calculate v(-12).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 438 + -437.46. Let y = -0.16 - -0.2. Let l = x - y. Sort -5, l, 4 in decreasing order.\nAnswer: 4, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.31 - -0.69. Which is the closest to t? (a) 1 (b) -4 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05 and -8266.714299.\nAnswer: -8266.764299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = 0, -3*r + 4*i + i = -1. Let c(p) = -2 - r + 1 + 6 + 3*p. Let k(u) = -5*u - 5. Calculate -8*c(z) - 5*k(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -65415.59 * -5\nAnswer: 327077.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -11. What is the remainder when c is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*z - 2*z + 20, 5*y - z - 13 = 0. Suppose -x - y = -10. Is ((-1)\/(-2))\/(x\/1316) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*t - 2*y - 10, -16 = -5*t - 4*y. What is the second derivative of t*x**3 - x - x**3 - 2*x**3 wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 4*f + 20, 0 = -249*h + 252*h + 5*f - 26 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125045559.\nAnswer: 3, 83, 55799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11923 divided by -36\nAnswer: -11923\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 203 - 201. Let r(u) = -156 + b*u - 148 + 323. Determine r(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j**3 - 4*j**3 + 0*j**3)*(-34 + 35 - 40) in the form n + w*j**3 + h*j**2 + a*j and give w.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**4 - 2*c**4 + 5*c**4 + (206*c**3 - 101313*c + 101313*c)*(-2*c + 0 + 0).\nAnswer: -414*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 94614*x + 851385. Determine k(-9).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6*(2 - 6\/9) and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -97785.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/27 (b) -119 (c) -5038\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 647473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4066.\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 693 and 693?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3575*w + 12 = -3571*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7117695 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, g: 2, f: 1}. What is prob of picking 2 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 54.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -256 in 2175, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -24085?\nAnswer: -24085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 13952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102145 is divided by 1141?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1.6 (b) -1\/8 (c) 703\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -942 + 682. Let o = d + 262. Which is smaller: o or 24\/41?\nAnswer: 24\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -872 - -877. What is the nearest to 0.1 in -5, f, 14, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(637) + -1)*-5 - (sqrt(104) + 2*sqrt(104)*-1)\/(sqrt(32)*4))*3)**2.\nAnswer: -12555*sqrt(13)\/2 + 9164997\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**5\/20 - x**4\/3 - 5*x**3\/6 - x**2 - 13*x - 6. Factor d(k).\nAnswer: -(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - m + 179, 2*m = -3*u - u + 718. What is the greatest common factor of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121414 - 62502 - 7*h - 58912 - 2*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 14*u**2 + 23*u + 7. Let x be b(12). Put 10, 5, 2, -2, x in decreasing order.\nAnswer: 10, 5, 2, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*i**5 + 4*i**3 + 35*i + 2 wrt i.\nAnswer: 220*i**3 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173143, 173158, 173191, 173248, 173335?\nAnswer: 173458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4 + 9\/100*5. Which is the closest to 1? (a) 0 (b) -0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*t - 175, -3*t - 2*i = -63 - 23. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 + (1 - 2)) - (0 + -28).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 303 and 38481.\nAnswer: 38481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 13*d - 28. Let i be g(19). Let r = i - 338. Which is bigger: r or 435\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/68 and 27\/292.\nAnswer: 4964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -15*p**5 + 2420*p**4 - 56620*p**3 + 455550*p**2 - 1459845*p + 1615950 = 0?\nAnswer: 3, 19\/3, 14, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or -2529?\nAnswer: -2529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.1, -6\/13, -3, -0.5 in descending order.\nAnswer: -0.1, -0.4, -6\/13, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34667?\nAnswer: 34667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*w = -3*l + 2, 0 = 2*l + 4. Suppose -2*m + 4*h + 10 = 0, m + 4*h + 5 = -2*m. Let y = m + 5. Calculate the remainder when y is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 1. Let r be n(-2). Let l = 21 + -16. Suppose 62 = l*g - r*z, 2*z - 2 = 3*g - 4*g. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 1\/8*g**4 + 0 - g**2 + 0*g - 1\/6*g**3. Give l(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627712?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 90 + b0?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-seven halves of a microgram?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*z + 235 = 0. Suppose -3*b + d - z = 377, -5*d = 3*b + 400. Is ((-114)\/(-133))\/((-2)\/b) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 11:32 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 70 = -5*n, -2*m - 44 = 2*n + 12. Let g = m + 48. Calculate the remainder when 223\/9 - (-4)\/g is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (0\/(-6 - -11))\/6. Let x(u) be the first derivative of -4*u**4 + 9\/2*u**2 + 2 + 0*u**3 + o*u. Find the second derivative of x(f) wrt f.\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -5*n**3\/2 - 5*n**2\/2 - 17*n. Let o(z) = -22*z - 7. Calculate -7*d(s) + 5*o(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 9 = 5*t, -3*t - 2 = -2*m - 8. Factor -2\/3*s + t + 2\/3*s**2.\nAnswer: 2*s*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/28512 and -169\/54432.\nAnswer: 598752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 - -215?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 145158799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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 n(j) = 3*j**2 - 49*j + 176. Give n(13).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*l + 5*o, 4*o + 5 = 5*l - 0*l. Let y = -1.211 - -1.611. Which is the fourth smallest value? (a) 0 (b) -0.3 (c) y (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622234 is divided by 207407?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - -4 - (1 + 0). Suppose 3*r - 2*r + a - 99 = v, -3*a - 417 = -4*r. Suppose 248 + r = 5*n. What is the highest common factor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*f + 3*f**3 - 66*f.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 44?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65513.26529 + 65513. Round g to three decimal places.\nAnswer: -0.265","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 201492*v - 135632 wrt v?\nAnswer: 201492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33976771 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208223?\nAnswer: 208223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, z: 3, r: 3, n: 6, m: 1, l: 4}. What is prob of sequence nrzl?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*i - z - 197 = 0, 3*z = -4*i + 169. Solve -h - 4*h - 5*c = i, -4*h - 24 = 2*c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfflljlulfj. Give prob of picking 1 l and 1 u.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 19 = -18. Let n(o) = -795*o**3 + o**2 + o - 1. What is the hundreds digit of n(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 3\/436?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 2:14 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(-187389 + 481*i + 187389 + 2706*i) to the form q + p*i and give p.\nAnswer: -6374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 686 = -3*g, g = -3*g - 5*u + 884. Let a = g - 100. What is the remainder when a is divided by 45?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 21*w + 8. Let z be (7\/(-21))\/((-1)\/12). Let b be d(z). Let n = 144 - b. Calculate the highest common divisor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1537.\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - 116*u**2 + 118*u**2 + 2*u - 1 in the form y + m*u + b*u**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -241*o + 54*o**2 + 241*o - 55*o**2. Let a(v) = 3726*v**2. Give s(a(f)).\nAnswer: -13883076*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1210 (base 5) to base 15\nAnswer: c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/7260 and -129\/31460?\nAnswer: 94380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-6))\/((-3)\/96*-6). Suppose -3*l + y = l. List the prime factors of (8\/(-3) + l)\/(12\/(-2466)).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 2\/5, -0.035, 0.325?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -106*y. Let v(c) = -3 - 5 + 3 + 746*c**2 - 1515*c**2 + 768*c**2. Calculate v(o(b)).\nAnswer: -11236*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 137132147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htpettoptptotpv. What is prob of picking 2 p and 1 h?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = -p + 5*l, 2*p + l = 1. Suppose p = -2*y - 17 + 7, 5*z - 2*y = 100. Let c be (485\/(-500) + 1)\/(z\/16). Is 0 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3701961.\nAnswer: 3, 37, 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 49034872 divided by 9301\nAnswer: 5272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -149\/4, 3\/2, 0.2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 22. Let u = -49 + d. Solve -5*h + u*p + 40 = 0, -5*p + 9 - 34 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 236 - 145. Let s(a) = -183 - 115 + 36*a + 3 + 63 - 43. Let i be s(8). What is the highest common factor of m and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1515*(40\/12)\/(-5). Let z = i + 413. What are the prime factors of (-8)\/56*2 - z\/(-7)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1984\/(-372))\/((-872)\/(-72) + -9)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 - 10*w - 8. Let r(b) = -11*b**2 + 20*b + 17. Let t(c) = 13*g(c) + 6*r(c). Let d be t(-10). Is d less than -9\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 6 = 3*m + 3*h, -6 = m - 3*h. Determine n so that 0*n**2 + 0*n - 1\/3*n**3 + m = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3904\/65 - 298\/5. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843319?\nAnswer: 17, 113, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8580 is divided by 2500.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300007.5 take away 15977287?\nAnswer: -17277294.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 394842554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4211*f**2 - 1658*f**2 + 454*f**2. Let v(r) = 2*r**2. What is v(a(n))?\nAnswer: 18084098*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4455)*2)\/sqrt(11).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-107)\/535)\/(((12\/10)\/6)\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -31*i + 12. Let l be o(6). Let b = l - -284. Is 22 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 12. Suppose 3*n - n = -64. Let q(i) = 5*i + 67. Let d be q(-7). Let a = n + d. Calculate j(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-441600)\/(-26180) - 264\/231?\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b = 2. Suppose 64 = -2*u - b*u. Let y = u + 22. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 388 divided by 139470\nAnswer: 194\/69735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 259601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 16*s**3 - 13*s**3 + s**3 - 2*s**3 + 52 - 34*s**2. What are the prime factors of j(17)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 4, 6, 5 in ascending order.\nAnswer: 4, 5, 6, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -171.1 and -45\/253 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 206 and 22096.\nAnswer: 2275888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*p**2 - 2 + 55*p**2 - 1.\nAnswer: 3*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9125 = -10*j + 16975. Calculate the greatest common factor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 33, -25, 0.3, -16, -10, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1016\/7 - 2028\/7*d - 144*d**2 + 4\/7*d**3.\nAnswer: 4*(d - 254)*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8589?\nAnswer: 3, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-20))\/(4\/8).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962134369.\nAnswer: 7, 19, 7234093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*w - 5, -3 + 2 = -5*i + w. Let g(v) = i*v - 1 - v + 10. Let d be g(9). Solve -3*a = -2*x, d*a - 4*a - 5*x + 23 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2163920?\nAnswer: 2, 5, 11, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 11*f**3 - 2*f**2 + 4. Let o(t) = -10*t**3 + 2*t**2 - 3. Give 7*o(r) + 6*s(r).\nAnswer: -4*r**3 + 2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(176) + 0 + sqrt(176)) + 3 + 2 + (-2*sqrt(176)*-4)**2 + 4.\nAnswer: -8*sqrt(11) + 11276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5533029.10702 - -171.\nAnswer: -5532858.10702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1941753 bigger than 1941750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*j + 1939*j - 2388 = -289 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11039557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 211.88 + -0.88. Let n = j - 133. Let z = n + -77.9951. Round z to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -331574066 divided by -2\nAnswer: 165787033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/20 and 89\/188?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4161887?\nAnswer: 359, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 7254?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -436*s**2\/13 + 34*s - 6\/13.\nAnswer: -2*(s - 1)*(218*s - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7165330, 7165297, 7165250, 7165183, 7165090?\n\"Answer: -j**3 - j**2 - 23*j + 7165355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/79 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 21748 (base 12) to base 14\nAnswer: 121ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v + 96*v + 172 = -324 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 0*p**2 + 1 - p**2 - p**2 - p + 9*p**3 + p**2. What is the units digit of m(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**2 + 45345070 - 45345070.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243, -546, -835, -1104, -1347?\nAnswer: -1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 6*v**2 + 11*v + 27. Let j be p(-5). Let d be (-1 - 1) + 4 + j + -12. Let b = d + 19. Solve 1 - b = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -400 - -405. Suppose -2*j = 4*f - 26 + 6, -3*j = -f + x. Suppose 3 = -3*c - 0. Which is smaller: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j. Let n(x) = 20*x + 3. Give n(w(p)).\nAnswer: 80*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-10)\/15*3. Let c(j) be the first derivative of 0*j + 1\/2*j**l + 0*j**4 + 0*j**3 + 1\/5*j**5 - 4. What is the second derivative of c(s) wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3219498\/7 + -460664. Let w(n) = -184*n**2 - 30*n - 64. Let f be w(-2). Let m = b - f. Find the common denominator of m and -5\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -17. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s - 12. Let g be u(-7). Solve 8 = -2*y - g*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 165151 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 6*d**2 + 5*d + 7. What is the units digit of g(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.08 and -1\/48 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 28 = -3*o - o, 4*o = -3*m + 4. Suppose o*f = -0*f. Suppose f = -4*a - 0*a + 28. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -3. Let a be (1 - 3) + 3 + 1. Let f = a - -1. Solve 4*q + 0*o - 24 = -4*o, f*o + 6 = v*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93949.45 millilitres to litres.\nAnswer: 93.94945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420769342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.491625 * -0.1\nAnswer: 0.0491625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.632 take away 988758?\nAnswer: -988757.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*b**5 + b**3*c + 2*b**3 + 39*b*c - 8*b + 2*c wrt b.\nAnswer: -1220*b**3 + 6*b*c + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-21)\/((l**(-21)*l)\/l) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*s**6 - 242*s**4 + s**2 - s - 1550 wrt s?\nAnswer: 960*s**3 - 5808*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 788 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 115399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 23. Suppose l + z*l - 15 = 0. Suppose 0 = -4*a - 5*j + 23, -5*a - j = l*j - 31. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3195484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209304 is divided by 163.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9241 is divided by 289.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-316)\/(-44) - (-3 + 10)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 33*m + 55 - 33 + 49*m.\nAnswer: 82*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*t - 1088 = 0, 2*x + 0*t = -2*t + 544. Calculate the remainder when 302 is divided by (-32)\/x - (-1296)\/34.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2504872 divided by 2504872\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 39 + 15 = -3*b, 0 = 5*g - 20. Let n be 26\/156 + 358\/12. Is 9 a factor of b\/n - (7 - 1884\/45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - -0.59. Let q = -7.81 - p. Let s = 7.7 + q. Is 1 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 3)*(-3*y + 3*y + 2*y**2) + (y**2 - 12*y**2 + y**2 + (-4*y**2 + 3*y**2 + 3*y**2)*(3 - 2 - 2))*(-19 - 14 + 2) as b*y + i*y**2 + f and give i.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 17517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*o**2 + 12*o**2 + 921*o - 923*o - 2*o**2 - 2 + 2 + (0*o + 6*o - 4*o)*(0*o - 2*o + o) to the form f*o**2 + t + j*o and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*n)*(-7*n + 3 - 2*n**2 + 7*n).\nAnswer: 4*n**3 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5760*g - 44. Let m(z) = 1152*z - 8. What is 6*h(o) - 33*m(o)?\nAnswer: -3456*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 332, -3 in descending order.\nAnswer: 332, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -312*q - 259*q + 26 - 25 to z + r*q and give r.\nAnswer: -571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 3 + -9 + (-8 - -2 - -20)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 13)*(3*f**2 - 2*f**2 + 0*f**2)*(-6*f**3 + 2*f**3 + 2*f**3) - 29*f - 28*f + 7*f**5 + 55*f.\nAnswer: 31*f**5 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 12 - 8, -5*z = 3*a - 122. Solve z*i = 2*i + 100 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -218ad15 - 0?\nAnswer: -218ad15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.430002986 - 1.43. What is g rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 43.256221737 and -3?\nAnswer: 46.256221737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000046681243 to six dps.\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 22 = 30. Suppose 4*r - 496 = 2*r. What is the lowest common multiple of y and r?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -317\/2, -2\/817, 0.1, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 7*c - 3*c + (0 - 2*c + 0)*(4 - 3 + 1))*(c + c**2 - c).\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 202309 and -0.32.\nAnswer: -64738.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 12150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 1777657?\nAnswer: -1777661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-184)\/6 + (-2)\/6. Let r = -10 - d. Let i(q) = 10*q**3 + q**2 - q + 1. Calculate the remainder when r is divided by i(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 - 26*i**2 + 25*i + 5. Give w(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 17*y + 20. What is the remainder when 206 is divided by l(19)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37*946\/3182*(4 - 3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 2:57 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**3 + 4*t**2 - 7*t - 1. Let f(c) = 11*c**3 - 12*c**2 + 20*c + 3. Let o(w) = 8*d(w) + 3*f(w). What are the prime factors of o(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2234, -2200, -2114, -1952, -1690, -1304?\nAnswer: -770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/96 and 109\/505260.\nAnswer: 4042080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1521 and -0.13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -225*v**3 - 2*v**2 - 2882*v + 2 wrt v?\nAnswer: -1350*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22369400*c + 45856092 with respect to c.\nAnswer: 22369400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8\/25 of a micrometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = h - y - 2, -1 = 2*h + y. Is (3 + (-4359)\/(-6))*h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145 + 147. Suppose -5*k + 3*k = -3*h - d, 3*k - 3 = h. Do h and -3\/218 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/35 and -1\/8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (3 - 2) + 0 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 975080 (base 10) to base 14.\nAnswer: 1b54c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 10121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 996489132 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.48 + 0.58. Let h = 0.047 + -3.047. Suppose 3*a + 3 = -3. What is the closest to 1\/4 in d, h, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*a - 3, 0*v - a = -2*v - 31. Suppose 5*x = -0*x - 30. Let o be (-11)\/(-3) + x\/v. Solve -q + o = 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23351856.\nAnswer: 2, 3, 11, 47, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 9:58 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16259874110 rounded to the nearest one million?\nAnswer: 16260000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 23876*p**4 + 1098304*p**3 - 2291728*p**2 - 768*p = 0?\nAnswer: -48, -2\/5969, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/297 + -1 + (-1)\/(-3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -135 + 300. What is the lowest common multiple of 75 and i?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - -11. Let y = -18 + p. Suppose -7*u = -279 - y. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiwiiiiiwiiwii. Give prob of picking 2 i and 2 w.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116\/928*96\/(-18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/18 - (-2)\/(-18)*15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b**2 - 2\/9*b**3 + 8\/3*b - 32\/9.\nAnswer: -2*(b - 2)**2*(b + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/4)*p)\/(p\/(p\/((p*p**(-6))\/p)))*p**4\/p**(1\/8))\/((p\/p**(-1\/3)*p*p**(1\/7))\/(p**(1\/3)\/p)**(-1\/38)) assuming p is positive.\nAnswer: p**(9221\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2114384 is divided by 30186.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 952 and 284648.\nAnswer: 284648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1061 = 6*n + 305. What is the remainder when n is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + 0 + 9\/(-12)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4\/7 - 352*i**3\/7 - 356*i**2\/7 + 352*i\/7 + 354\/7 = 0.\nAnswer: -1, 1, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2 = -3*u, 3*u + 4 = d - 2*d. Let k be 2 - (u - -1)\/3. Suppose -6 = -k*j + 8. What is the highest common divisor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 2.07 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 + 121 = 5*n. List the prime factors of n.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4208771.2 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 405 - 284. Suppose 0 = -5*h + r - 26. Suppose 0 = o - 4*w - 25, -h = -5*o + 3*w + 38. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1079534 is divided by 359659?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6123.085 litres?\nAnswer: 6123085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8 = 3*g + 3*w, 2*w = 3*g - 2. Suppose -v = -g*v. Suppose y - 9 = -3*r, -4*r + 76 = 4*y - v*r. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4503*b**4*o**2 - 58*b**4 + 388619*b*o - 8*o**2 wrt b.\nAnswer: 54036*b**2*o**2 - 696*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -276 + 276. Let i = -351\/770 + 3\/110. What is the second biggest value in i, 1\/4, a, -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -3, 86*l - 2*u - 18 = 83*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 61468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61520.9251 - -61525. Round i to two dps.\nAnswer: 4.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + m. Let x(a) = -6*a**3 - 14*a**2 - 5*a - 10. Let r(g) = 5*c(g) - x(g). What is the units digit of r(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + 3 + sqrt(11) + -1 - ((sqrt(275) + -1)*-2)**2)*3 + 1.\nAnswer: -3320 + 123*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*p**2 + 9*p**3 - 5*p + 87*p**2 - 3*p in the form r*p**2 + c*p + v + a*p**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*p*s**2*w - p*s**2 + 4*p*s*w + 10*p*s - 224983*p*w + 9*p + 2*s**2 - 527 with respect to w.\nAnswer: 9*p*s**2 + 4*p*s - 224983*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2 - 2*a - 6. Suppose -82 - 42 = 31*n - 0*n. What is h(n)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(12\/16) - (-4)\/(-3). Suppose w = l + 4*l - 30. Suppose 4878 = l*k - 0*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 - (-322)\/(-69). Suppose 0*h + 25 = 5*h. Sort h, -3, c in increasing order.\nAnswer: c, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35303411 (base 6) in base 11?\nAnswer: -68a399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99 - 692\/7. Is p at least as big as 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*i**5 + 39*i**3 + 231*i**2 + 3*i wrt i?\nAnswer: 420*i**2 + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*k**4\/7 + 1569*k**3\/7 + 52932*k**2\/7 + 84300*k\/7 - 30096\/7 = 0. Calculate k.\nAnswer: -22, -2, 3\/10, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 138 - 1240\/9. Which is the biggest value? (a) -3\/4 (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5500 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 3*g**5\/10 + 3*g**4\/2 - g**3\/2 - 3*g**2 - 23. Factor a(s).\nAnswer: 3*s*(s - 1)*(s + 1)*(s + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = 14 - 70 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + 1 - sqrt(3)) + sqrt(3) + -2*sqrt(300) + sqrt(3))**2 + 1*2*sqrt(363).\nAnswer: -2*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1103 + 1109 - 3*p - 2215. Let y(x) = x - 1. Let f be y(-4). Let j be 2*(-1)\/(-2) + f. Determine q(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/(-72))\/(-6*(-1)\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143704 and 368?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 - 10*w**2 - 13*w + 16. Let i be t(-2). Solve i*l - 31 = 23 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0.9. Let t = -0.136 + 40.636. Let v = t - 40. Which is the biggest value? (a) v (b) h (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = -6*j + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3280?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -5. Suppose 2*c = -3*p + 7 + 18, 5*c + p = 56. What is the remainder when c is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i + 3. Let c(t) = -3*t + 1. Calculate -5*c(y) + 2*x(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v**3 - 3*v**3 - 3*v**3)*(-15*v + 26*v + 31*v) + v**4 + 0*v**4 + 2*v**4 to j*v**4 + i*v**2 + f*v**3 + m*v + x and give j.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 743 = -3*k - 34, 510 = 2*r - 4*k. List the prime factors of r.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 16758*f + 837898. Determine a(-50).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 448096.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 11*o**2 - 11*o - 7. Let l be t(-10). Let d(m) = 4*m + l*m - 5*m. Let k(i) = -3*i**2 + 5*i - 5*i. Determine k(d(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9191868.51 times 0.1\nAnswer: 919186.851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 - ((25 - -1) + -14)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/8061434 and -80\/2133909?\nAnswer: 72552906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 0*c - 1\/12*c**5 + 1\/120*c**6 - 1\/3*c**4 + 4*c**2 + 0 + 7\/6*c**3. Calculate j(5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/4*y**3 + 1\/2*y**2 + 0 + 1\/4*y**4 + 0*y = 0. What is y?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 2*b**3\/3 - b**2 - 53. Factor h(i).\nAnswer: 2*i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 - s**2 - 4*s - 3. Let n(w) = -17*w + 76*w**3 - w**2 - 3*w**2 - 13 - 151*w**3 + 84*w**3. What is 26*i(t) - 6*n(t)?\nAnswer: -2*t**3 - 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 122*x. Let f(c) = 196165*c. What is f(b(i))?\nAnswer: 23932130*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1407059 to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2768442, -5536884, -8305326, -11073768, -13842210, -16610652?\nAnswer: -19379094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1295 + 10359\/8. Which is the nearest to -17\/4? (a) -2 (b) y (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + a - 364 = 0, -5*z + 2924 = -5*a + 1054. Let l be 50\/175 - z\/(-7). What is c in -l - 2*c**3 - 2*c + 53 + 4*c**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-964)\/(-8) + (-6)\/(-4). What are the prime factors of 16 - 13 - a\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**4 + 32*o**3 + 1196*o**2 - 12168*o = 0.\nAnswer: -18, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 8*c**3 + 611*c**2 - 51*c - 21203. Calculate n(-76).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/3 + 909*x**2 + 43376*x\/3.\nAnswer: x*(x + 16)*(x + 2711)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 457432411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1033\/3 - -4147\/12. Let r = -2.1 + 0.1. Which is the nearest to 1? (a) r (b) 1\/8 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0834 - 0.1?\nAnswer: -0.0166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 30, 1, -4, -11.\nAnswer: -11, -4, -3, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -173 - -146. Let y be (-12)\/l*9\/6. Put y, -2, -1\/6, -0.2 in decreasing order.\nAnswer: y, -1\/6, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -942 - -938. Let q(l) = -l**3 - 2*l**2 + 4. Determine q(o).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36088454 a multiple of 257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 52. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 8*m**2 - 4. Calculate g(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/146 and (828\/(-99))\/(-1 - 1) + -5.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 21, -24, -3, 185 in increasing order.\nAnswer: -24, -3, -2, 21, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141581, 283365, 425351, 567539, 709929?\nAnswer: 852521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0437 and 0.2921.\nAnswer: 0.01276477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66.948 + -67. Let q = 42.81 + -43. Let t = q - i. What is t rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 57 = 7*q - 5*q, -522*q + 525*q = 9 for n.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 4*l - 2*i - 1044, 0 = 5*l + i - 1319. Suppose l = -3*p + 914. Suppose r - p = 4*z, r + 3*z - 434 = -r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -312*((-4)\/6)\/((-24)\/(-27)). Let w = u + -217. What is the remainder when 117 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14715024 less than -14715034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 1. Calculate the remainder when 141 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 2586*n - 2. Let w(i) = -4*i**2 + 10340*i + 9. Give -9*a(j) - 2*w(j).\nAnswer: -j**2 + 2594*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/28 of a week?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 4:14 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 6*h - 4. Let d be z(6). Let j = -2 - d. What is the second derivative of 2*l + l**4 + 2*l**4 - j*l**4 wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) 12 (c) 5 (d) -4\/3 (e) -7\/29 (f) -156\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4 - 5*n - 3*n**2 + 2 + 5*n**2. Suppose -46*z + 122 + 62 = 0. Determine s(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 3:45 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120074 + 120074.0000058681. Round c to 7 decimal places.\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432216?\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 617332 - -50?\nAnswer: 617382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4428*x + 73690 + 78691 + 228427 for x.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*r + 4*l - 17, -10 = -2*r - 4*l. Let o = r - 0. What is the remainder when (52\/6)\/(o\/(-6)) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/119)\/(g*g\/(((g\/g**(2\/11)*g)\/g)\/g)))**(-6\/13))**44 assuming g is positive.\nAnswer: g**(69072\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18b - 70?\nAnswer: -23b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -14642318.\nAnswer: -1\/14642318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 27*d + 28. What is the units digit of u(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 562 - 533. Let r = 88849386 - 88849414.9999995. Let s = j + r. What is s rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7228 = -18*l + 22*l + 82*l + 2326 for l.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 21, -10\/3, 2\/3 in increasing order.\nAnswer: -10\/3, -2, 0, 2\/3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -4, 11.8, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, d: 4}. What is prob of picking 3 d?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 776 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 5 = -3*y + 2*m, -m - 5 = 0. Is -489*(-4 - (-3)\/y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32 - -5?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + (-740 - -732) + 2 + 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -48, -70, -90, -108?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**4\/8 - 2*o**3\/3 + 7*o**2. Calculate q(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000101011 + 111111101000?\nAnswer: 11110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/7)\/(t\/(t*t\/(t**9*t))))**29 assuming t is positive.\nAnswer: t**(-1856\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3 + 9. Let x = 400\/41 + -61019\/123. Let f = -488 - x. Is l > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 7:56 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 8*h**2 + 14*h + 11. Give l(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from vqukdkr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3005, -3297, -4009, -5351, -7533, -10765, -15257?\n\"Answer: -35*r**3 - 47*r - 2923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 10:06 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 517091 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 175, 3, -3, -8, 0, 6 in ascending order.\nAnswer: -8, -3, -1, 0, 3, 6, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*c*u**3 + 48*c*u**2 + 19*c*u - 35*u**3 + 30*u**2 - 992700 wrt u?\nAnswer: -48*c*u + 96*c - 210*u + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 35767 = -4*c + 7*n, 2*n - 6 = 0. What is the tens digit of ((-50)\/4 + -1)\/((-104)\/c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19248, -19242, -19226, -19194, -19140?\nAnswer: -19058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4.1 (b) 0.2 (c) 3\/7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 2*j + 5*t - 17 = 0, -12 = -2*j - 4*t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 77*j - 316 = 0. Let n(b) = b**3 - 4*b**2 - b + 1. Give n(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**6\/90 - 17*l**5\/180 - 23*l**4\/72 - 5*l**3\/9 - l**2 - 21*l - 108. Suppose t(v) = 0. What is v?\nAnswer: -2, -5\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + 3. Suppose -4*c = -45 - d. Let s = c - 16. Put s, 2, -5 in increasing order.\nAnswer: -5, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 683399938 by 2.\nAnswer: 341699969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 + -43. What is the common denominator of -111\/10 and 20\/10*t\/(-55)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - m. Let i be h(-1). Suppose -4*a - 3*g + i = -3, 3*a + 5*g = 1. Does 3 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 3, 0.3, 6622?\nAnswer: 6622","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 39 + 15. Suppose 0 = -3*g - z - 27, -5*g - 36 = -g - 3*z. Let k be g\/r + 1\/(-2). Which is the closest to 0? (a) -1\/2 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t = -5. Let h = 6 - 5. Suppose -h - 14 = -3*o. Calculate the lowest common multiple of o and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 5*q + 1. Let y(p) = p**2 + 2*p. Suppose -2*z - 5 = -1. What is z*j(v) + 5*y(v)?\nAnswer: v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2875 + 2874.9996187. What is c rounded to five decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 2201*z - 79465. Determine g(-37).\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1008, 1053, 1120, 1209, 1320?\nAnswer: 1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -99522 divided by 635\nAnswer: -99522\/635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -0*l + 45. Suppose 4*d = d + l. Let h = 8 + d. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2962?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/10 - 34\/(-10). Suppose -2*c = -u*d - 0*d, 0 = -4*d + 3*c - 4. Solve 2*a + i = d, 0*i - 4*i = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 - 3)\/((-2)\/7) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/6486 and 81\/14.\nAnswer: 45402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1, -1\/4, -6.\nAnswer: -12, -6, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -10. Suppose -s = -n*s + 33. Suppose s*b - 3 = 30. Solve 5*x - b = 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y. Let z(w) = -11*w + 34. Determine -3*o(f) + z(f).\nAnswer: 10*f + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/72*26\/(-819)*3*7.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttbbtwwtbywwtbywwytt. What is prob of sequence ybt?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 1.9, -2, -1\/6, -1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 61*i**2 + 266*i + 7. Let f(a) = -2*a. Determine y(f(k)).\nAnswer: 244*k**2 - 532*k + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -866424 to the nearest 10000.\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-15) + 16\/5)*397. Suppose 0*x + f = 4*u - 3*x, -3*u = -2*x - 893. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287495 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 9 + 7 = -3*k, 2*z + 12 = -k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6 - 2*z - 1 + 0*z - 5*z. Let s(o) = -20*o + 14. Let h(p) = -5*s(p) + 14*w(p). Let v(d) be the first derivative of d**3 + 1. Calculate h(v(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111 + 108. Let o be w\/((-12)\/45 - 12\/(-20)). List the prime factors of 4\/(((-9)\/(-66))\/(o\/(-12))).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2247 times 35?\nAnswer: 7.8645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10340 and 52164266?\nAnswer: 521642660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2398)\/42 - -9 - ((-3)\/(-21))\/(69\/(-46)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 248.683190556.\nAnswer: 248.883190556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -0.0312, 0.7, 4?\nAnswer: -0.0312","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - (31 - 24).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 7:54 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110.755 - -0.245. Let i = l - 110.5. Which is the nearest to 1? (a) i (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3\/4))\/(h**(-1\/3)\/h) assuming h is positive.\nAnswer: h**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113 + 25. Suppose 2 = 2*u + 8. What is the common denominator of 1172\/i - (-4)\/(-22) and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 2. Let l(g) = -g**2 - 2*g + 2. Let z(t) = 5*t**2 + 11*t - 11. Let d(s) = r*l(s) + 2*z(s). Let w(h) = h. Calculate w(d(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2442 and 77488.5?\nAnswer: 75046.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - 3*q + 0*q - 3*q + 3*q - 6*q + (-6*q + 3*q + 4*q)*(1 + 2 - 5) + 2 + 5*q - 2.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5\/12)*u*u**7)\/((u**(-5\/6)\/u*u)\/u**(-11)))**(3\/13) assuming u is positive.\nAnswer: u**(-31\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/6*24\/28. Let y = -124\/35 - i. Is y greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**7\/21 + 28*g**6\/15 - 98*g**5\/5 - 247*g + 199. Let x(a) be the first derivative of c(a). Factor x(r).\nAnswer: -2*r**3*(r - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 + 12 - 7) - 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 7. Let y(i) = i**2 - 4*i + 2. Let o(u) = -u**2 + 3*u - 2. Let c(h) = -h**3 - 2*h**2 + h. Let p be c(-3). Calculate n*o(t) + p*y(t).\nAnswer: -t**2 - 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 0.101640822?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(21)\/(sqrt(15)\/sqrt(5))) + (sqrt(252)*-3 + sqrt(7))**2 + 4 + -1 + (sqrt(7) - (sqrt(112) + -3)**2)*-3.\nAnswer: -75*sqrt(7) + 2389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 128?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-8))\/(o*o*(o\/o**(2\/5))\/o))\/(o**(-2))**(21\/2))**27 assuming o is positive.\nAnswer: o**(1674\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/552*(330\/100)\/((-506)\/(-552))?\nAnswer: 3\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1295 + 3*n**2 - 1898*n + 281 + 321 - 2*n**2 = 0. Calculate n.\nAnswer: 1, 1897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1051 (base 7) to base 2\nAnswer: 101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163007 + 22799 = -254*t. Is t a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 797495, 797575, 797655, 797735, 797815, 797895?\nAnswer: 797975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 9. Let i be f(0). Suppose 8*z = 3*z. Suppose z = i*v - 7*v - 34. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/73920 and -97\/5277888.\nAnswer: 26389440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 6*z**2 - 13*z**2 + 2 to q*z**2 + y + o*z and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -141 - -144. Let x be 4\/33*9\/6. Solve 0 + x*m - 4\/11*m**5 + 6\/11*m**2 + 2\/11*m**c - 6\/11*m**4 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2 - (-6 + -4 + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -289 - -292. Let i = -0.1 - -0.3. Which is the third biggest value? (a) i (b) -3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -0*i + 2*c - 4, 0 = 4*i + c - 13. Suppose -46 = -5*z + n, -21*z = -17*z - 5*n - 20. Solve 0 = -2*g + 5*s - 15, -4*g + i*s = -0*g - z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -2. Let s = d - 0. Let k(b) = 5*b**2 - 2*b - 7. Let f be k(3). Calculate the highest common divisor of f and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/4 + (-42)\/28. Suppose 0 = -6*a + 3*a + i. Suppose a*b - 2*b - 44 = 0. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -16, 52, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10\/3 - 88\/21. Calculate the common denominator of k and 85\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3342, -4719, -7020, -10251, -14418?\n\"Answer: -d**3 - 456*d**2 - 2*d - 2883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 4:56 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 0, 5, 2\/57, -0.39.\nAnswer: -0.39, 0, 0.03, 2\/57, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -49. Let t be 3\/(-6) - w*(-3)\/(-12). Let n = -4 - -2. Which is the nearest to 1? (a) -5 (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)\/u)\/u*u*u*u**(-3\/4))**(2\/15)\/((u**0)**30\/((u\/((u\/((u\/(u\/(((u\/u**(-1))\/u)\/u)))\/u))\/u*u*u))\/(u*u**(2\/3)))) assuming u is positive.\nAnswer: u**(-43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -5*a**4\/3 + 35*a**3\/2 + 21*a**2\/2 + 60. Let x(u) be the second derivative of b(u). What is the derivative of x(s) wrt s?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*j = 250, 0*g = g - 5*j - 78. List the prime factors of g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*c - 24 = -98*c, 4*i + 2*c = 0. Let h be 0\/(-2*(-1)\/(-2)). Let j = h - -4. Solve -n = -2*z + 4, -2*n - 3*n = j*z + i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 + -77. Suppose -3*m + 13 = -t*d - 37, m - d - 18 = 0. Let b(i) = i**3 - 4*i**2 + 8*i - 5. Calculate the smallest common multiple of b(5) and m.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41b4 (base 12) to base 9.\nAnswer: -10771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 20*i + 6. Let w be f(-26). Let o = -20 - w. Calculate the remainder when o is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -32*m**2 - 4. Let f(t) = t + 156 + 227 + 7*t - 383. Give f(q(z)).\nAnswer: -256*z**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1038, 1038, 1040, 1044, 1050?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwnzzzwnwwwz. What is prob of picking 3 z?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5497674*w**5 - 6*w**4 + w**2 + 128600912*w.\nAnswer: -109953480*w**3 - 72*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(30\/(-245)))\/((-3)\/(-6)). Suppose -45*q - 960 = -j*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: What is the closest to 568 in -1, 0, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6037?\nAnswer: 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -14 + 3\/2*a**2 - 5*a. Let f(u) = 4*u - 6. Let k(v) = -5*f(v) + 6*h(v). Let d(z) = 20*z. What is k(d(i))?\nAnswer: -40*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 478768187 to the power of 1\/2, to the nearest integer?\nAnswer: 21881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 7*c - 2*c + 4*v, -5 = v. Let y = -9 - 5. Let z = y + 68\/5. Is c smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -55*m - 11. Let q(i) = -2 + 2 + 14*i - 1 + 4. Let p(s) = -104*s + 2181. Let d be p(21). Give d*z(w) - 11*q(w).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1945 - -1981. What is the fourth smallest value in 4, j, 0.1, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*x - 3 = 213*x. Let t be (-37 - -35)*-2*x. Solve t*j - 3*u + 2*u - 7 = 0, 4*u - 11 = 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 34. Let d = 37 + i. Calculate the smallest common multiple of (-3)\/(-1)*(-8)\/(-6) and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*6*2\/36*-2. Suppose -16*t**2 + 20*t**l - 431*t**5 - 4*t**2 - 10*t**3 + 211*t**5 + 215*t**5 + 15*t = 0. What is t?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.98885 rounded to 3 dps?\nAnswer: -1.989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.84305771 rounded to 3 dps?\nAnswer: -1.843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*sqrt(27) - sqrt(12)\/(sqrt(4)*2))*-3.\nAnswer: -5 + 21*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 15, 2, -10 in descending order.\nAnswer: 15, 2, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 8*o + 10. Let y = 47 - 47. Suppose -3*t = 0, -t = -3*j + 27 - y. Calculate the remainder when 94 is divided by g(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(931))*2 + 1 + -1)*-5.\nAnswer: -70*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/5*(3 - 14\/6). Suppose -u + 2*u - 1 = 0. Suppose 2*v = m*c - 2, -2*c - c - v = u. Let l(q) = -q**2 + 4. Calculate l(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/5 - (14 - (-568)\/(-40)). Sort 198, o, -4, 0 in descending order.\nAnswer: 198, o, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -z, 4*z = -12 - 0. Suppose -b*f + 41 = -2*f. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 2*z - 3*z)*(101*z + 46*z + 118*z).\nAnswer: -265*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4*(76\/(-168))\/19\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**4\/4 - 8*k. Let z(a) = -10*a**2. Determine h(z(d)).\nAnswer: 300*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + -421472?\nAnswer: -421459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 9:54 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/375 + 16393\/6750. Calculate the common denominator of b and 38\/81.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -813 + 929. Calculate the remainder when f is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 5*m**3 - 2*m**3)*(-m + 3*m + 0*m) - 7*m**3 - 18*m**4 + 7*m**3 - 3*m**4 + 3*m**4 + 2*m**4.\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 955954105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -30*q + 2. Let w be (6 - 4)\/2 + -2. Let s be u(w). Let i = s - 29. What is the remainder when 4 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 27 = -2*v, -5*v = 4*g - 108216. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 34 = 4*k - p, -19 = 3*k + 4*p. Let x(v) = -v**2 - 19*v - 76. Let w be x(k). Solve -r + w = -0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25.93 - -26.33. Which is the closest to -11? (a) 5 (b) 0.3 (c) -1 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 17 = v, -17 = 4*y + 5*v + 20 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26520)\/184)\/13 + 11.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -m + 7*b - 3*b, -4*m = -3*b - 80. Let y(l) = 9*l - 150. Let u be y(m). Solve 0*d + 6 = u*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -242, -4, 3.2, 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/562 in 2\/11, -2, -4, 1, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448282000 divided by -10480.\nAnswer: 42775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -11*m + 7. Let b(s) be the second derivative of 5*s**3\/6 - 3*s**2\/2 + s. Let c = 30 + -21. Give c*b(u) + 4*g(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((13 - (13 + 18)) + (-18)\/(-2))*6.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/10)\/(z*z*z*z**(1\/2)) assuming z is positive.\nAnswer: z**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + 4 + 2*(sqrt(208)*-2 + 2))**2.\nAnswer: -256*sqrt(13) + 3392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(11) - (2*sqrt(77))\/sqrt(7)).\nAnswer: -sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3107?\nAnswer: 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/10)\/(0 - 2). Let b(v) be the third derivative of 0*v**4 + 0 - v**2 + 1\/210*v**7 + 0*v + h*v**3 - 1\/120*v**6 + 0*v**5. Factor b(i).\nAnswer: i**3*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 - 6*w**4 + 3*w**4 + 2*w**4 - w**4 + 4*w**4 + (-2*w - 2*w**2 + 2*w)*(0*w - w**2 + 0*w) + (-6*w**2 + 2*w**2 + 11*w**2)*(0 + w**2 + 0).\nAnswer: 11*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 53*b**2 + 233*b - 5286. Determine c(8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -3. Suppose -92 = -4*d - a*r, 3*d - 3*r = -2*d + 91. What is the remainder when d is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 1.2. Let o = 0.0476 + -4.0476. What is the closest to w in -9, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315381100 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61585078.\nAnswer: 2, 1987, 15497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 3 + 0*w + 0*w**2 - 2\/3*w**3. Let g(d) be the third derivative of -11*d**4\/24 - 16*d**2 + 10*d. Determine l(g(n)).\nAnswer: -242*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/5)\/(3\/(-75)). Suppose -5*j + 11 = b - 3*j, -2*b = -4*j + o. Solve -2*m + b*m = 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 15 = -5*a, 3*a - 23 = -13*d + 9*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 62 - 5*g**2 - 2*g - 52 + 11*g - g**3. Determine h(-7).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/8*(7 - 14938\/1988) and -85\/44?\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + k + k)*(-4 + 3 + 2) - 1 + 1 + 8*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5069*k**2 - k**3 + 5069*k**2 - 463 - 10138*k**2 to the form x*k**2 + y + j*k**3 + m*k and give y.\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 3*i**2 - 3*i + 3.\nAnswer: 3*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from {s: 1, p: 9, x: 4, z: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-8) + -1)\/(-14 + 3627\/260)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 44. Solve k*t = t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19796, -38996, -58150, -77234, -96224, -115096, -133826?\nAnswer: -152390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i - 24*i + 57*i - 17*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 12 + 14)*(-5*p + p + 5*p)*(4 - 22 + 141) to the form o*p + w and give o.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*s - 6, f - 2*s = 3 + 6. Calculate the remainder when -3*(-40)\/30 + 0\/3 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75093.2667 rounded to the nearest 10?\nAnswer: -75090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198522?\nAnswer: 2, 3, 41, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -2.3.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171.67 + 3.33. Let m = f - 180. Sort m, 1.4, -0.5 in increasing order.\nAnswer: m, -0.5, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3868 + 348 = -98*x - 122*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 5:26 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42116*a + 0 + 142449*a + 0.\nAnswer: 100333*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-3)\/33)\/(9\/(27\/6))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = -l + 429. Calculate the remainder when l is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 5*u + 1. Let r be q(-5). Which is the third biggest value? (a) r (b) 1\/3 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 107*(-3)\/(-15) + 2\/(-5). Calculate the highest common divisor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 + 11*s + 5. Give z(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56231154 is divided by 56231136.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 5. Let h be c(-2). Solve -7*v + h*v + 16 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 383206, 383012, 382818?\n\"Answer: -194*n + 383400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 531128 and 312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*z - 29, -4*i + 0*i = -4*z - 4. Let x be 51\/z + 7 + 0. Which is the third smallest value? (a) -6\/5 (b) x (c) -1\/8 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 89769.\nAnswer: 22\/89769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, w: 3, s: 2, e: 2, f: 1, a: 7}. Give prob of sequence ef.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.075 + 2750526.\nAnswer: 2750535.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 4*r + 10. Let n be l(-7). Calculate the greatest common divisor of 40 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66*y + 39*y + 32*y + 8*y**4 - 2*y**3 wrt y.\nAnswer: 96*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 473, 1896, 4267, 7586, 11853, 17068, 23231?\n\"Answer: 474*a**2 + a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 81*j**3 + 78*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 37 + 137344?\nAnswer: 137382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*w = -12, -h = -w + 50 - 59. Suppose 1156 = p + p. Suppose -p - 746 = -h*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -8. Suppose -b*v - 89 = -464. Suppose -5*k = a + 2*a - v, -a = -k + 7. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4047556737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 48*r + 1. Calculate b(-2).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**3 - 2*k**2 - k - 4. What is the tens digit of s(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z - 7970 = -1075. What is the second derivative of 3066*c - 2 - 1450*c + z*c**2 - 1424*c wrt c?\nAnswer: 394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94535285 is divided by 413?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/1575 and -67\/109525.\nAnswer: 6900075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(36\/5)\/s)**(-27)*(s**(-5\/2)*s)**(-11) assuming s is positive.\nAnswer: s**(-1509\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2410 is divided by 144\/54*561\/88.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40561, -40745, -40929, -41113?\nAnswer: -41297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -39add?\nAnswer: -39adb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**5 + 1783*z**4 + 7985*z**3 + 1765*z**2 - 7987*z - 3548 = 0.\nAnswer: -887, -4, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7328 + -1111377451\nAnswer: -1111384779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((8 - 5) + -7) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33536171?\nAnswer: 37, 906383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 13 + -4 + 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*y, -c + 2*c - 131 = -2*y. Let x = c - 51. Suppose 127 + x = 3*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Suppose m = -3*m + 5*n + 36, z*n = m - 12. Suppose 3*t - 2*q = 15, m*t + 2*q - 15 = t. Solve t*b + h = -0*b - 13, 4*h + 6 = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*h + 87*h - 2027 + 5330 + 1833 = 0 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7434, -7435, -7436?\n\"Answer: -o - 7433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1024, -8210, -27718, -65710, -128348, -221794, -352210?\nAnswer: -525758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 19*g**2 - 93*g + 7. Determine u(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 20*m + 26. Let q be c(2). Suppose 0 = -17*v + 6*v + q. Solve 3*a - 3*g = -v, 0 = 5*a - g - 4 - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 plus 76.5501072469?\nAnswer: 90.5501072469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*p**4 - 3596*p**3 + 295492*p**2 + 1161296*p - 308736 = 0. Calculate p.\nAnswer: -288, -4, 1\/4, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 16. Suppose 6*q - 154 = t*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 136 + -682\/5. Let y = -0.7 - -0.5. Let z = -0.2 - y. Which is the nearest to z? (a) -0.3 (b) -3\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 576 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 291 + -278. Suppose 0*a + 2*a = 2*h - 452, -h = 2*a - 241. What is the remainder when h is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 - 44*w - 127. Calculate the remainder when 477 is divided by r(-14).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2979, 4, -0.2, -0.6?\nAnswer: 2979","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 731 and 6659767?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164 is divided by 145.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 95 - (10 + 7 + (11 - 14) + -15 - -6)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16756409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 (base 12) in base 8?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 258\/(-4)*4\/(-6). Suppose -2*q = k - 395. Let p = q + -322. Round p to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(3\/7)\/k)*k*k**5*(k*k*k\/k**(-1\/5))\/(k**(-2\/15)*k) assuming k is positive.\nAnswer: k**(208\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51536752 - 0?\nAnswer: 51536752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -159, -160, -161, -162, -163?\n\"Answer: -q - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/25648 or 1?\nAnswer: 5\/25648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15722494?\nAnswer: 2, 1783, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**2\/2 - 245475*p\/2 - 245469 = 0.\nAnswer: -81823, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35865.4079 - 35884.40790045. Let u = 43 + -24. Let f = s + u. What is f rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23784687.66 rounded to the nearest 10000?\nAnswer: 23780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 + 12. Let s be q + (0 - (-3)\/3). Let p = -25 - s. What is p rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 3*z + 12. Let r be n(8). Is -1 + 4 - r*15\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000110011000 - -110001?\nAnswer: 11000111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {c: 3, k: 1, q: 9, i: 4, a: 2}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -209 + 203. Let q(w) = -15*w - 4. Let f(l) = -31*l - 9. Give r*f(y) + 13*q(y).\nAnswer: -9*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 470*k + 14065. What is d(32)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85444666?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.6 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 244981 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: Sort -1, 0, 5, -972624 in descending order.\nAnswer: 5, 0, -1, -972624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 5*b**2 + b - 3. Let h be m(5). Is ((-5)\/(-15))\/(h\/18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k**(-2\/51)*k*k*k*k)\/(k\/(k**(1\/7)\/k*k))*k**(-3\/7)\/(k**(1\/18)\/k))**(-8\/9) assuming k is positive.\nAnswer: k**(-56716\/9639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 188*j**2. Calculate the remainder when r(1) is divided by 6 + (-2 - 17\/(1\/(-8)*4)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*m - 3)*(0 - 5 + 2)*(5 - 5 + 2*m) to r*m + n + d*m**2 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -100\/87?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6 + 4*z**2 + 9*z + z**3 + 5*z**2 + 14. Let t be n(-8). Let g = 10 + t. What is the remainder when 19 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 3. Let g be j(2). Let s(f) = -5*f**3 + 3*f. Let d(w) = -w**3 + w. Determine g*s(x) + 3*d(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -9*k**5 + 1338*k**4 - 34737*k**3 - 12624*k**2 + 23460*k = 0.\nAnswer: -1, 0, 2\/3, 34, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -689764 - 29385 = -15*o - 73744. Is 202 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2207, 8944, 20179, 35918, 56167, 80932, 110219, 144034?\nAnswer: 182383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33894085, 67788178, 101682271, 135576364, 169470457, 203364550?\nAnswer: 237258643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*m - 21, -2*m + 14 = -2*o - 0*o. Does 11 divide 2 - 5\/(o\/82)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbppbpb. Give prob of sequence pbp.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3446758 rounded to the nearest 1000?\nAnswer: 3447000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2200132 - -456?\nAnswer: 2200621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 + -20 + -179 - -209.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i. Let u(q) = -2*q + 4. Let b(n) = -4*l(n) + u(n). Is b(9) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(646\/85)*-2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n + 2*n)*(24 - 464*n**3 - 447*n**3 + 977*n**3).\nAnswer: 66*n**4 + 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four thirds of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, 1\/6, -1\/7, 33, -0.048?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1944\/6209 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 0 - 1\/2*b**3 + b**2 + b. Differentiate x(q) with respect to q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - b + 4. Let d(t) = -t**3 - 3*t**2 + t + 3. Let a be d(-3). Suppose 3*x = -a*x + 9. What are the prime factors of r(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 2, 2*s - 3*s - 5 = -3*q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + a**2 + 1. Suppose 5*y = 4*y. Suppose y = 2*g + 2*g - 4. Let c(d) = -2*d**2 + 0 - 4 + 5*d**3 - 4*d**3. Give g*c(x) + 2*t(x).\nAnswer: -x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d + 13?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -6 (c) 2 (d) -0.017 (e) 189\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2. Let v(d) = 10*d**2 - 6*d. Let s = -23 - -24. Let r(u) = -u**2 + u. Let n(q) = s*v(q) + 6*r(q). Calculate n(k(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x = 10*g - 1252, 121*g + 3*x - 326 = 125*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/(5*35\/50).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31967\/10 + 3192. Let h(w) = w**2 - 4*w - 10. Let n be h(6). Calculate the common denominator of (-268)\/120*n - -2 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 4 = x. Suppose 0 = -7*q + 8 + x. Suppose -3*u - 2*u + 20 = 0, 5*k = q*u + 10463. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9817671 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60630, -60629, -60630, -60633, -60638, -60645?\nAnswer: -60654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 6898 = 5*w - 2155, 3*z = -5*w + 9077. Let b be w\/210 - 4\/(-6). Let g = 937\/90 - b. Is 0 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by (-1 - (-154)\/(-4))\/(40\/(-160))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (38 + -1 - 32 - (1 + 0))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n + 317. Determine t(-41).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**2 + 3*q - 2. Suppose l + 2*z + 11 = 0, 2*l + 26 = -0*z - 5*z. Let g be o(l). Calculate the greatest common divisor of g and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fiffiooii. Give prob of sequence ff.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 211*u + 11. Let b(x) = -1 - x**2 - x + x**3 + 4*x + 0*x. Let q be b(2). Let g be v(q). Round g to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37940*h**3 - 18983*h**3 - 40 - 18973*h**3 in the form w*h + i*h**3 + g*h**2 + p and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2. Let c = 22 - 14. Suppose c = -w + 5*w. Let a(p) = -6*p**2 + p**2 + 2*p**w + 9*p**2. Determine b(a(u)).\nAnswer: -180*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (32\/(-24))\/((-2)\/606). Let y = w + -99. Suppose 280 = 4*g - 4*p, -p + y = -g + 5*g. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -16*r. Let j(h) = -7*h**2. Let a(b) = -20*b**2. Let l(m) = 5*a(m) - 14*j(m). Determine l(z(u)).\nAnswer: -512*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 5.9?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o**3 - 3*o**2 - 13*o - 21. Calculate l(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + 0 - (-6*sqrt(98))**2.\nAnswer: -3528 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151434, -151436, -151438, -151440?\nAnswer: -151442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*m - 1681 = 10 + 114 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 9, -1, 1, 14.\nAnswer: -22, -1, 1, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuuwuwuw. What is prob of picking 1 u and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 6*f**2 + 6*f - 3. Let a(k) = -k**3 + k**2 + 2. Let v be a(0). Let i be v\/(-4) + 7\/2. Suppose -i*y + 0 = -15. What is u(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + x - 18. Suppose 14 + x = 4*d. What is the remainder when 13 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -20, -0.3, 0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111110100011 - -1101111100?\nAnswer: 1100001100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2 - -23 - (-40 + (79 - 35)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1252 + 4640 = -7*m. Is -484 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30237 is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 17*n**2 - 62*n - 38. List the prime factors of c(-24).\nAnswer: 2, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000172287116 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -4805?\nAnswer: 4801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18825 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a1dc3c5a + 5?\nAnswer: 1a1dc3c61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 51, 0.4, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25391.4 weeks in microseconds?\nAnswer: 15356718720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410*r = 416*r - 1848. Is r a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3276 and 1011465.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*l + 336*l + 12546 = 0 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/81 (b) 0.6 (c) -1\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 p when four letters picked without replacement from {d: 2, p: 3, e: 1, s: 3, z: 6}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -52*c - 24. What is the tens digit of f(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124\/(-350)*-7 + (-20)\/250\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16943\/6 - -2824. Which is the fourth biggest value? (a) -7.2 (b) h (c) -1\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -3.9?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 66*f. Let n(v) = v + 3. What is p(n(a))?\nAnswer: 66*a + 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzw when three letters picked without replacement from jwdlz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + n - 25 = 0, 70*v + 14*n - 11*n - 123 = 244 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 12) to base 3.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -48, -70, -94?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + r - 20 = -126, 4*o + 406 = 5*r. Let w = 519 - 519. What is the nearest to w in o, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320102300301 (base 4) to base 6.\nAnswer: -1244143013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.31 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673839?\nAnswer: 3, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -477, 5, 2, -319 in ascending order.\nAnswer: -477, -319, -0.4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-152)\/6)\/(-19)*(-798)\/6916\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21004545 and 960.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 91*m - 22914. Calculate d(240).\nAnswer: -1074","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79041.\nAnswer: 3, 26347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*g + 5479 = 1000 - 2346 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2393*a**3 - 6*a**2 - 12*a. Let c be g(16). Round c to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 6) in base 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 22*q - 307. Let b(a) = 10*a - 153. Let s(i) = 5*b(i) - 2*w(i). Let d be s(26). Solve 3*m - d = 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4097853 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15698 - 10454 = -7*t. List the prime factors of t.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 11 = -5*x, -57*x - 6 = 2*v - 61*x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30133410 bigger than 150667049\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 952990 = 5*z, 3*z - 363879 - 17314 = -2*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14c + -458?\nAnswer: -30b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c + 57*c + 120 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9170647, -9170661, -9170675, -9170689?\n\"Answer: -14*r - 9170633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + d21?\nAnswer: d1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*5435.3.\nAnswer: 543.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*d + 189 = 44*d. Let p = d + 191. Factor -2\/13*f**p + 2\/13*f + 0.\nAnswer: -2*f*(f - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, l: 2, b: 1, h: 1, a: 10}. Give prob of picking 1 a and 1 h.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -110010100010011 (base 2) to base 11\nAnswer: -18493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 363*q**2 + 7*q**2 - 3*q**2 + 218*q**2 - 9*q + 9*q + 7*q**2 - q**2 + 5*q**2 - 3*q**2 + (q**2 + q - q)*(-3 + 1 + 1) - 2*q**2 - q**2 + 2*q**2.\nAnswer: 591*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -36699 at least as big as -25245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, h: 9}. What is prob of picking 2 e and 2 h?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179 + 65*y**3 + 179 - 120*y**3.\nAnswer: -55*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 11 - 5) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21047*s**2 - 4*s + 21041*s**2 + 4*s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 greater than -0.12863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u**2 + 2*u + 1. Let x(m) = 6*m**2 + 2*m + 2. Let o be (-51)\/(-12) - 5\/20. Calculate o*a(r) - 3*x(r).\nAnswer: 2*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*q = 66, 0 = 5*r + q - 29 - 25. Suppose 0 = r*i - 20*i + 40. Let c(l) = 7*l - 7. Let u(w) = 3*w - 3. Calculate i*c(n) - 10*u(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 8*j**2 + 4. Determine g(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 7 (c) 49 (d) 2 (e) 0.1 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**5 + 709*g**4 + 156481*g**3 - 637909*g**2 - 156480*g + 637200 = 0.\nAnswer: -180, -1, 1, 4, 885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 555674 divided by -19\nAnswer: -29246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (476\/(-17))\/(-7)*(-10)\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*k - 14, 14 = 3*p - p - 4*k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2685 (base 9) in base 16?\nAnswer: -7e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 4) to base 15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -9\/302 (c) -0.1 (d) 2 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-10)\/32*-4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 775 = 3*g, -42*b + 4*g = -47*b - 780. Which is smaller: -767\/5 or b?\nAnswer: -767\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4876 - -4881. Solve -r*q = -3*v - 26, -6*v + q = -10*v - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-45)*(-25)\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)*-1)\/sqrt(4))\/(sqrt(343)*-2).\nAnswer: sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 8979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = t - 265 - 133, 2*x + 4*t - 152 = 0. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(0*t**2 - 178*t**2 - 164*t**2).\nAnswer: 684*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 8 + (-1 - -5) - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 105\/8? (a) -478 (b) 2\/7 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 2*r**2 - 12*r - 27. Let c be g(-3). Solve 6*b + c*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3719 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skwf when four letters picked without replacement from fskfffkkfwsfwwwfwff?\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 947*p**2 - 2814*p - 34196. Calculate x(950).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6343?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 37478?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 258 and 18318.\nAnswer: 18318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16327, 32653, 48979, 65305, 81631, 97957?\n\"Answer: 16326*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -125*u. Let b(l) = l**2 - 5. Let r(a) = -7*a**2 + 56. Let q(d) = 12*b(d) + r(d). Calculate q(w(f)).\nAnswer: 78125*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 12 - 3 = 0, -z + n = -4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1341377.\nAnswer: 53, 25309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 8 + 10. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.1, -2\/5, 22?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m**3 + 661*m**2 - 98*m - 1329. Give a(110).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, e: 2, w: 1, f: 1, k: 1, i: 1}. Give prob of picking 1 w and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 14, y: 5}. Give prob of picking 1 y and 2 v.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4)\/(5\/10). Suppose -5*a + 2*l + 3 = 0, 4*l - 6 = -5*a + 3. Sort 0, r, a.\nAnswer: 0, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -3. What are the prime factors of 4\/q + (-20)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 - -124. Suppose -l*j + 54*j = 4791. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 163, 144, 133, 130, 135?\n\"Answer: 4*g**2 - 31*g + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuuuuzuuzzu. What is prob of picking 1 z and 1 u?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4890997?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1 = 3. Let i(y) = -5*y - a*y + 1 + y + 37*y**2 + 4*y. Is i(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3 = h, -51 = -0*h + 4*h + f. Let o = -7 - h. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1230020211 (base 5) to base 8.\nAnswer: -13250710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*-2*sqrt(567)*4.\nAnswer: -432*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 6*v - 440. What is the greatest common divisor of 20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 30144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26605 and 123505.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 7*z - 119. Let t be f(8). Let m(y) = 34*y + 2. Determine m(t).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2625443 a multiple of 559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2\/7))\/x)**(15\/8)*(x*x**1)**(3\/28) assuming x is positive.\nAnswer: x**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*l)*(7 - 2 - 1)*(3 - 3 - 12)*(-3*l - 3*l + 4*l).\nAnswer: 192*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2\/9, -6, 0.4, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6948656 centuries to years.\nAnswer: 69.48656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14865626 > -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5 - 6 = 5*b, -2*l = -4*b - 8. Suppose 2*n = q + 3, 3*q = -l*n + 6*q + 1. Suppose 5 + 23 = n*y + 4*o, -o + 27 = 3*y. Solve -y*a + 4*a = 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12262*6.3.\nAnswer: -77250.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 7*h**2 + 4*h - 3. Let o be z(-7). Let p = -7 - o. Let a = -22 + p. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128 - -203. Let b = -73 + t. Solve 2*d + f + 6 = 0, 0*d + 3*d + 9 = b*f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*s - 7*b + 2*b, s - 3*b = 19. Suppose -2*t + 9 + 0 = 3*k, -2*k - 13 = -5*t. Solve c = -4*w - 15, -s*c = 6*w - t*w - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51031, -102057, -153081, -204103, -255123, -306141, -357157?\nAnswer: -408171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1253 and 5549?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d + 1?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 4*j - 40 = 0. Let b(q) = -q**3 + 21*q - 4. Let a be b(j). What is the highest common divisor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 23) + -4 - -52?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 5 - 2*g)*(-5173 - 9734 - 5*g + 18074) as d*g**2 + l + s*g and give s.\nAnswer: -6339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 183 - 883. Suppose -3*i = -a - 61. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = -17*f + 93. What is the least common multiple of 13 and f?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -3 + -1 + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8323 + -8263. Let x be -2 - (-5 - -1)*13. What is the greatest common divisor of x and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 3:24 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -599 (b) 1 (c) 1.3944\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 332 and 2?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-11)\/(u**(-6)*u)*(u\/(u*u\/((u\/((u**(-1\/5)*u)\/u))\/u*u*u)*u))**(-4) assuming u is positive.\nAnswer: u**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:06 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/5 + 36*j**2\/5 + 12*j.\nAnswer: 3*j*(j + 2)*(j + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*f**2 + 3*f**2 + 7*f - 31*f**2 + 11*f**2 wrt f?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43818*j**3 + 141*j**2 - 65*j wrt j?\nAnswer: -262908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2308*y + 827*y + 1042*y + 1155*y - 1100*y in the form z + m*y and give m.\nAnswer: 4232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*c**2 + 31*c**2 + 27*c**2 + 77*c**2.\nAnswer: 158*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -120650 rounded to the nearest one thousand?\nAnswer: -121000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 2*b**2 + 4*b + 3. Let n be p(-3). Let d = n - -3. What is the derivative of i - i + d*i**2 - 2 wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00869 + 0.00517.\nAnswer: -0.00352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 92*o - 2413. What is s(27)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036466682 rounded to five dps?\nAnswer: 0.03647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 n, and 2 l when four letters picked without replacement from {l: 8, c: 5, n: 3}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2751845 is divided by 10920?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 7:56 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 16 = 5*p, 5*p - 18 = c + 2*c. Let g be (3 - 3)*c + 0. Let i = 40 - 279\/7. Which is smaller: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30025, 30094, 30215, 30394, 30637?\n\"Answer: t**3 + 20*t**2 + 2*t + 30002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 653647 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 5:53 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**2 - 3*v - 10. Let o(i) = 3*i**2 + 2*i + 9. What is -2*a(q) - 3*o(q)?\nAnswer: -q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1218*t**3 + 1221*t**3 - 2433*t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b - 2 = 0. What is the lowest common multiple of (-4 + b)*(-8)\/2 and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -1)\/(44\/(-88))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -474 + 949. Let s = 472 - w. What is the third smallest value in 13, s, 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 5 (b) 5\/9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**4\/12 - 1085*j**2. Let w(s) = s + 8. Calculate w(r(a)).\nAnswer: -2*a + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*5*(-1 + sqrt(7)).\nAnswer: -15*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -624 + 1054. List the prime factors of m.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -1472405?\nAnswer: -1472402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 9 = -d. Let v(y) = -y**3 - 11*y**2 - 9*y + 11. Let c be v(-10). Let t(j) = -2 + 5*j - 6 + j**2 + c. Determine t(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 15*y - 14. Let u be i(14). Let g = -27 - u. Which is bigger: g or 3\/16?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*i - 2 - 5*i + 36*i as q*i + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.076 - 0.004. Let b = 24\/185 + 10\/37. Let d = 31.9 + -32. What is the second smallest value in l, d, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c = 37*c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -143? (a) -0.3 (b) -2\/29 (c) -2 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 5*n**2 + 6. Let b be j(-5). Suppose -b*a + 176 = -2*a. Suppose -r = -3*r + a. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347686237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 10*c + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -52. What is the common denominator of -4 - (w\/30 - 2) and -8\/41?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26952 and 710859.\nAnswer: 5686872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2497648 and 37971?\nAnswer: 22478832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48807980.\nAnswer: 2, 5, 13, 131, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 12*k - 11*k - 200 + 3*k**3 - 2*k**2 + 200 as q + y*k**2 + r*k**3 + a*k and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 8. Suppose 504 = 30*a + 114. Determine p(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k + 4. Let r be t(-4). Suppose -25 = -5*l - d, -1 - r = -5*l + 2*d. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6172 is divided by 1214.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - i - 2 = 0, -5*l - i + 14 = -2. Solve 2*m - l = 3*w - 1, 2 = 3*w - 4*m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 2*x - 1545*x**3 + 1513*x**3.\nAnswer: -32*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -225, -184, -143, -102, -61?\n\"Answer: 41*r - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 30*d**2. Let i(v) be the first derivative of v**2\/2 + 480. Calculate i(z(j)).\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8dc57 (base 16) to base 11.\nAnswer: -367315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 15 = 2*r - 3, 4*c - 8 = 0. Which is smaller: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (55*n - 15*n - 26*n)*(n**2 + 0 + 0) as s*n + j*n**2 + p + g*n**3 and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 15) in base 5?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/20*(((-2416)\/60)\/4 + 10).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 3. Let x be (6\/3 - 0) + -5. Let b be z(x). Suppose b*v = -1 + 7. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -0*d - 3*d - z, -2*d + 108 = 2*z. Let l = d - 28. Calculate the remainder when 82 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.091592 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 3*l**2 + 10*l - 3. Let i be h(-5). Let q = -21.7 + 22. Are q and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*u + 134*u - i + 10 = 0, 9*u - 12*u + 4 = 4*i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2878.58 + -2878. Which is the smallest value? (a) -0.1 (b) y (c) -0.3 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2067 - 303 = -193*u + 139 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 282620190, 565240382, 847860574, 1130480766, 1413100958, 1695721150?\n\"Answer: 282620192*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1396, -4, 0, -100.\nAnswer: -100, -4, 0, 4, 1396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s + 7*s + 0*s - 2*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2666579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 1 - 1 - 3*m - m - m - m + 2*m + m + m - 3*m + m + 3*m - m - m + (-3 - 2*m + 3)*(-1 - 1 + 1) + m + 2*m - m in the form f + a*m and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44456.26l in millilitres?\nAnswer: 44456260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16090881, 32181762, 48272643, 64363524, 80454405, 96545286?\nAnswer: 112636167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -124 - 15 + 10 + 54*s + 29*s**2 - 16*s - 40*s as u*s**2 + g*s + r and give r.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.85, -6, -0.1, -9, 5, -35 in decreasing order.\nAnswer: 5, -0.1, -0.85, -6, -9, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/6)\/((-6)\/(-8)). Suppose 4*g - 40 = n*g. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 93, 135, 179, 225, 273, 323?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 105*y**2 - 495*y - 675.\nAnswer: -5*(y + 3)**2*(y + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**4\/4 + 3*h. Let l(f) be the second derivative of -11*f**3\/6 + 267*f. Determine l(m(w)).\nAnswer: 33*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/11 - 2\/11*s**2 + 30\/11*s.\nAnswer: -2*(s - 16)*(s + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 5*n - 2*n)*(-n - 3 + 3)*(-9*n + 42 - 42) to o*n + y + l*n**2 + r*n**3 and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1226, -2481, -3728, -4967, -6198, -7421?\nAnswer: -8636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1004)\/18 - (-22)\/(-99). Let b = m + 80. What are the prime factors of -3 + (b\/(-9))\/(6\/(-225))?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(21)\/sqrt(3) + sqrt(175) + -1 + -2 - (-6*((sqrt(28))**2 + 2) + -5))*-6.\nAnswer: -1110 - 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26780 and 59020?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -900*v**3 + 1598*v**3 + 0*v**2 + 204*v**3 - 898*v**3 + 0*v**2.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.6 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2. Let z(p) be the first derivative of 28*p**3\/3 + 8. Determine u(z(s)).\nAnswer: -784*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2269.251ml in litres?\nAnswer: 2.269251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -12*w + 2. Let x be n(-2). Suppose -x = 5*t + 19. Is 2\/t + 8015\/63 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 12:09 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**5 + 41875*h**4 - 418135*h**3 - 961915*h**2 - 501900*h = 0. What is h?\nAnswer: -1, 0, 12, 8365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-4) + (1 - 1). Let a be 3*(8\/(-6))\/1. Suppose -9*z - 40 + 121 = 0. Sort a, c, z in decreasing order.\nAnswer: z, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*((5\/(-1) - 216\/(-96)) + 3). Let j(w) be the first derivative of -g*w**2 + 4*w - 3. Determine j(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 40 - 5 = 0. Let y be 2\/g - (-50)\/18. Solve -16 = 4*b + b - 2*k, 0 = 4*b - y*k + 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.113*22862.5\nAnswer: 2583.4625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 223*-560\nAnswer: -124880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6128988881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-92)\/20 - 2\/5. Let b(m) = m**2 + 5*m + 4. What is the remainder when 9 is divided by b(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 - 46. Suppose -112 = n*r - 7*r. Let o(a) = -3*a - 12. What is the remainder when 105 is divided by o(r)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -2\/3 (c) 724.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 45 = 2*v - 5*c, -36 = -2*v + 4*c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4257198115505 + -0.11.\nAnswer: 4257198115504.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35323.\nAnswer: 35323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000256161 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from eesjpspmpjmesepps?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**2 - 4597153*p + 113314733 wrt p?\nAnswer: -2*p - 4597153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -414.6 + 22.6. Let p = 391.99999948 + x. Round p to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*k + 35 = 0, 4*r - 4*k + 51 = 239. List the prime factors of r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + -5994921264.8.\nAnswer: -5994921257.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 7*x**2 + 6*x + 2. Let j be g(6). Let l(u) = u + 4. Let v be l(27). Suppose j*z = 5*n + v + 2, 20 = -4*n. Is 4 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5*v = 32, 2*v + 8 = 151*d - 147*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13219?\nAnswer: 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.6 + -3. Let w = 1969 - 1824.7. Let t = 144 - w. Put 2, t, i in decreasing order.\nAnswer: 2, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -120.337 to zero decimal places.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*h + 11, -d = -3*h + 5*h - 7. Solve n + 1 = -p, -n - 2 - h = -4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -4, -1 in descending order.\nAnswer: 28, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2754 + 30828 = -638*h - 16148 + 9536 for h.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1904705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((2*(0 + sqrt(396)) - 6*(sqrt(396) + -1)) + 4 + 3))**2.\nAnswer: -15600*sqrt(11) + 162625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 2*l**2 + l - 1. Suppose 27 = -13*o + 1. Let s be (-2)\/(2\/(-3))*o\/(-6). Calculate z(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnip when four letters picked without replacement from {n: 3, p: 10, k: 2, i: 1}.\nAnswer: 9\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -73, -51, -11, 53, 147, 277?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1368 and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 164 + -67. Suppose -3*a - d = -0*d - u, 3*d + 15 = 0. Let f be 7\/((-21)\/204)*(-1)\/4. Calculate the highest common factor of f and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, j: 1, x: 1, a: 2}. What is prob of picking 1 a, 1 x, and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96*i**3 - 2*i + 2*i - 4*i**2 + 9 + 178*i**3 wrt i?\nAnswer: 1644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58)\/(-406))\/((27\/(-42))\/3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 531311 (base 6) to base 16\nAnswer: a85b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6366793 is divided by 2213?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmmmmjjmttmt. Give prob of sequence ttj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least -6\/125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 5*j**2 + 3*j - 1. Calculate o(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 276051, 1104168, 2484365, 4416642, 6900999?\n\"Answer: 276040*l**2 - 3*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -105a621 - 4?\nAnswer: -105a625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -11*o - 5*o. Let t(h) = h - 4. Let l be t(5). Which is smaller: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 and -29\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 39193*n - 35.\nAnswer: -39193*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/510 and -119\/78.\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -8. Let k = m + 12. What is the second smallest value in 2, k, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14310253105 minus 1?\nAnswer: -14310253106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140568920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + -3*5*(3 + sqrt(162)*-1) + 5))**2*6.\nAnswer: -510300*sqrt(2) + 2034450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 9.7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -0.78, -9, 5, 1.8, 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 29 + -16 + 42\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 487 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 4*l + 192. Let a be ((-10)\/43)\/(l\/55). Let h = 9\/43 - a. Is h > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23772, -23792, -23844, -23946, -24116, -24372, -24732?\n\"Answer: -3*o**3 + 2*o**2 - 5*o - 23766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**5\/20 + g**3\/2 + 20*g. Find the second derivative of u(l) wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llrr when four letters picked without replacement from {l: 6, r: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14\/41, 1\/7, -5, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5275 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.3 + 73.7. Let c = -87.9 + y. Round c to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9457705556 and -5.\nAnswer: 9457705551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.97 + 0.03. Let n = p - 3.3. Let o = -57.53 + 57.93. Which is the closest to o? (a) -1\/4 (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -17, 6, 116, 0.5 in decreasing order.\nAnswer: 116, 6, 0.5, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -9. Find the third derivative of -4*h**3 + 4*h**s + 16 - 16 wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (121\/2420)\/(1\/10*-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 6*s**2 + 2*s - 8. Let u = -42 - -62. Calculate the least common multiple of k(6) and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -1. Let c = 56 + -56. Solve -2*l + c*l = x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*d + 56, 2*d - 1 - 1 = 0. Suppose 3*s = 104 - j. Calculate the greatest common divisor of 10 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124221997 divided by -60923.\nAnswer: 2039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31482, 251812, 849888, 2014584, 3934774?\n\"Answer: 31479*f**3 - f**2 - 20*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuuaanaufffunnuuunf. Give prob of sequence ua.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824450540?\nAnswer: 2, 5, 41222527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.5 - -3. Let z = -6 + 6. Let i = 1 + z. What is the closest to -0.2 in y, i, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/sqrt(3)*-4 + 5*sqrt(108)\/sqrt(4))\/(((2*sqrt(180))\/sqrt(4))\/(5*(sqrt(5)*2 - sqrt(5)))).\nAnswer: 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1376582.9 to the nearest 10000.\nAnswer: 1380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7542 + 7542 - 109*b**2 + 107*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65498\/58079857 + 6\/20603. Let m = f + -188905\/22552. Find the common denominator of m and -7\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 616 or 153?\nAnswer: 616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -5, -33, -7.\nAnswer: -33, -7, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(68)*2 - (-5*sqrt(68)*2 - sqrt(68)))*1)\/(sqrt(4) - -1*3*sqrt(4) - sqrt(324)).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 9.8. Sort 3, -0.3, f in ascending order.\nAnswer: -0.3, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111 + -1001?\nAnswer: -101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3366 and 12087.\nAnswer: 265914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/6, -12, 5\/6, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13005044 and 1040?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -308 and -42330.106322.\nAnswer: -42638.106322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/21)\/(31\/((-5208)\/18))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 8:21 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/33 + (70\/(-22) - -3). Suppose -3*b + 6*b - 147 = r. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1262733 is divided by 144.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -3, 199, 38, 8.\nAnswer: -3, 4, 5, 8, 38, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 - 16 + 9*i + 3*i - 3*i + 4*i + (49 - 30 + 122)*(i - 2*i + 0*i + 3 - 3 - i + (3*i - i - i)*(2 - 4 + 1) + i + 0 + 0).\nAnswer: -269*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-39))\/(1100\/33000).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 10*c**2 - 332*c + 884. Determine n(29).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iml when three letters picked without replacement from {i: 1, l: 2, j: 2, m: 7, p: 4, a: 4}?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8)*1 + -1. Let o = -49 - -44. What is the third smallest value in o, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297144\/18125 not equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -2*f**6\/3 - f**5\/30 - f**4\/24 - f**3\/2 - f**2 + 21. Is x(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -314 - -311.06. Let g = z + -0.06. Which is the nearest to -2\/3? (a) -5 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 109 = -45. Suppose 0 = 5*g + p*g - 27. Solve -12 - 8 = 5*d, -g*i + 5*d + 26 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**4 + 2515*x**3 + 33300*x**2 + 123660*x + 92880 = 0.\nAnswer: -6, -1, 516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6*w = w. Solve w = l - 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31517*w**2 - 7*w + 3*w - 31550*w**2 to the form r*w + g + t*w**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/20*1*-415. Let l = -78 + k. Factor l*g**4 + 13 + 120*g**2 - 21 + 80*g + 45*g**3 + 8.\nAnswer: 5*g*(g + 1)*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -132 and -405057725.\nAnswer: -405057857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 13.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15626 - 11068. List the prime factors of v.\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4926*j + 88 = -4904*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8599 and -1.\nAnswer: -8600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1116005?\nAnswer: 5, 11, 103, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, 2\/209, -11, -184, -4?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 8 = 10. Let a(h) = -h - 1. Let j(u) = -3*u - 3. Let v(x) = 6*x + 6. Let w(t) = 9*j(t) + 5*v(t). What is l*w(r) - 17*a(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (362 - 326) + (6 - 45)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**4 - 346. What is o(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 - 120*h**2 + 249*h + 71. Determine k(-62).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + sqrt(2) + 2.\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21573?\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -2, 3, -0.24, -0.6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10101101001001101110 (base 2) to base 6\nAnswer: -23111250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, 147, 556, 1361, 2694, 4687, 7472, 11181?\n\"Answer: 22*q**3 - 9*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 divided by 42.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/1207, -6\/43, 0.4, 0 in decreasing order.\nAnswer: 0.4, 0, -1\/1207, -6\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17867344 is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**3 + g**2 - 390*g - 97549 wrt g?\nAnswer: 3*g**2 + 2*g - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -198, -0.4, 51\/13?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14365656.\nAnswer: 2, 3, 199523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11259 and 2418183?\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.04 + -0.9. Let r = 3209.5 - 3210. Which is the biggest value? (a) -3\/7 (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 56 = 24. Suppose -4*m - 6*s + 614 = 0, 71*m = 67*m - 3*s + 581. What is the remainder when m is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8004.17565 - -8004. What is l rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 14. Let w be z(12). Suppose c = -4*k + 12, 5*k = -w*c + c + 14. What is the third derivative of k*v**2 + 2*v**3 + 0*v + 0*v + v**3 wrt v?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f + 4. Let w be m(2). Sort w, 3, 55, 1 in ascending order.\nAnswer: w, 1, 3, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 3*z + 15*z - 9*z. Let x(h) = 10*h**2. Give x(u(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54103751 and 713.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 11817599\nAnswer: -3\/11817599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450833 is divided by 150271?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 795 and 6660?\nAnswer: 352980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 868.860047 - 0.00773\nAnswer: 868.852317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppm when three letters picked without replacement from pppweemp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30, -61, -150, -327, -622, -1065?\n\"Answer: -5*k**3 + k**2 + k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10622637799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1617 is divided by 538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -58, -296, -904, -2056, -3926, -6688, -10516?\n\"Answer: -29*c**3 - 11*c**2 - 2*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (551\/(-290) - 3\/5)*-2. Solve -4*y = -t - t - 14, z = -t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45391 and -5.\nAnswer: 226955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3794679 divided by -122409.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 150569670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3389 by -73.\nAnswer: 3389\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 0 + (10 + 9 - 19)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-24))\/((-2)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - v + 18 = 0, 3*v + 63 = 4*l - 2*v. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12589489?\nAnswer: 11, 1144499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 + 4*u**4 + 0*u**4)*((-2 - 3 + 2)*(3 + u - 3) + 188 - 4*u - 188) - 7*u**5 + 8*u**5 + 6*u**5.\nAnswer: -7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 5) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74793399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 6 = 3. Is b at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.1, -74, 3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - -503 - 0\/1. Let h = -254 + l. Round h to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 5187.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + -0.6. Which is greater: f or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -135501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/200 and -49\/20320.\nAnswer: 101600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4010, 4022, 4044, 4076?\nAnswer: 4118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.96 + -3. Let q be ((-10)\/15)\/(6\/(-501)). Let f = q - 56. Which is the biggest value? (a) f (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 640974, 1281950, 1922926, 2563902, 3204878, 3845854?\nAnswer: 4486830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 2*n**3 + 125067199*n**2 - 125067199*n**2.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 12. Suppose 5 = -4*k - 3, 2*x + 12 = -3*k. Put j, x, 4 in descending order.\nAnswer: 4, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 11. Let l be (-10)\/(-3 - -1)*-1. Let s(w) = 3*w - 17. Let b(d) = l*s(d) - 8*f(d). Differentiate b(m) wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-3)*(5\/(-2))\/(-5). Solve 3*n = -2*q - 12 - 2, 0 = g*q + 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -21231.\nAnswer: -5\/21231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*-6*(-2)\/16?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-53)\/(-4) + 5 + 147\/(-28). Let q = k + 41. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124948075 divided by 5?\nAnswer: 24989615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*y**2 + 2143*y\/3 + 119\/3.\nAnswer: (y + 119)*(18*y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1490 is divided by 103.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 n when three letters picked without replacement from {s: 1, n: 11}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**24\/(u*(u\/((u**(-2\/95)*u)\/u))\/u) assuming u is positive.\nAnswer: u**(2183\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1336.1 and 0.1.\nAnswer: -133.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-3 - (-11 + 4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1939 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 4. Let k = 167\/333 + -31\/111. Let v = 7.2 + -7. Put k, v, f in descending order.\nAnswer: f, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (134 - -1)\/((-10)\/(160\/24)). Let q be ((-2)\/6 + 1)\/((-120)\/y). Which is the third smallest value? (a) 1 (b) -156 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -388? (a) 3 (b) -5.2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1545 (b) 543 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51*(-7)\/1071*114.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7692192, 15384405, 23076616, 30768825?\n\"Answer: -m**2 + 7692216*m - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6475*p - 3245*p + 101*p**2 - 3230*p.\nAnswer: 101*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24923, -50163, -75405, -100649, -125895, -151143, -176393?\nAnswer: -201645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhqhhlmlhhhhlhh. What is prob of picking 1 q, 1 m, and 1 h?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 220 + 324 = 16*z, z - 115 = 2*u for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -81, 22, -4, -2, -19.\nAnswer: -81, -19, -5, -4, -2, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * -5.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*w + 3 + 3, -3*w = -3*i - 21. Let r(y) = 4*y - 4. Let x(u) = -u. Let q(z) = i*x(z) - r(z). Let j(a) = 6*a - 21. What is -2*j(v) - 11*q(v)?\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 6)*(-3)\/(-4). Suppose 13*m - 8*m + 15 = 0. Let r be (u\/(-1))\/(-19 - m). Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 - 2) + -14 + 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**5\/60 - f**2\/2 - 2. Let u(l) be the second derivative of y(l). Let s(x) = 6*x**2 - x + 1. Determine -s(a) + 4*u(a).\nAnswer: -2*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, -18, -43, -70?\n\"Answer: -z**2 - 20*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.9922 decades in millennia?\nAnswer: 1.129922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 31653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -272\/5, -4, -5, -0.4?\nAnswer: -272\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -156\/365 + 2\/73. Let d = 344.64 - 3.64. Let c = d - 345. Sort 0.1, 4, p, c in ascending order.\nAnswer: c, p, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -658*w - 4. Let y(u) = -2*u + 3. Calculate -g(x) - 2*y(x).\nAnswer: 662*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17233 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from {b: 1, m: 3, f: 2, j: 1, s: 2, x: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0501898398 + -85.9498084402. Let l = 0.087 + 85.913. Let o = a + l. What is o rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1499, 5997, 13495, 23993, 37491?\nAnswer: 53989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**2 - j**2 + j**2 + 0*j**2 + 3*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 415\/5 + ((-1575)\/50)\/(15\/(-10))\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14 + 1 - 1\/(-1). Let n(d) = d - 11. Let m be n(j). Solve 2*o - 3 - m = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-50) - 0)*(-22)\/((-176)\/(-20)). Let m = -109\/112 + 11\/16. What is the closest to m in h, 1\/4, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 45860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zaaaazaazaazz. What is prob of picking 4 z?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -87, 0.3, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -87366000 to the nearest 100000.\nAnswer: -87400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 2*i**3\/3 + 10. Let w(j) = 49*j. Give w(l(t)).\nAnswer: 98*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0551 - 0.9449. What is the biggest value in 4\/7, n, -4, 3, -23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1327, 1333, 1335, 1327, 1303, 1257, 1183?\n\"Answer: -m**3 + 4*m**2 + m + 1323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2) + -3 - (-8 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + k = -18 + 48, 3*m + 4*k - 18 = 0. Calculate the least common multiple of m and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 9 = -x, 2*x + a = 6*a + 9. Let c = -3 - x. Suppose c*i = 4*i - 40. What is the smallest common multiple of i and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r\/(r**(-2\/9)*r)*r)*r\/r**(-16))**(-18\/13) assuming r is positive.\nAnswer: r**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(171) - sqrt(19)) + -1 + (sqrt(95) - (sqrt(95) + (sqrt(95)*2 - sqrt(95))))\/sqrt(5)*-1.\nAnswer: 4 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 385 + -88. Suppose i + 29*v = 28*v + 26, 4*v = 4*i - 112. Calculate the highest common factor of i and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/21)\/(-12)*6*-1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2 - z - z - z**2 + 5. Let g be j(4). Suppose 0 = 41*o - 36*o - 90. What is the highest common divisor of o and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*(sqrt(121)*-2 + sqrt(121))*-4)\/((sqrt(2673)*-2 - sqrt(2673))\/(sqrt(12)\/(1*sqrt(4)))) + -1.\nAnswer: -1 - 8*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8926216, 35704948, 80336176, 142819906, 223156144, 321344896, 437386168?\nAnswer: 571279966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + -3. Let r(u) = u**2 + 6*u + 1. What is r(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (118\/5 + -11)*5 + -6*1. Calculate the greatest common factor of 1121 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from yyqlely.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.563 and 176.\nAnswer: 275.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 2*r**2 - 4*r)*(16 + 92 + 210 - 47).\nAnswer: -542*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 72 = 4*p, -5*h - 5*p = -86 - 29. Suppose -10*u + h = -6*u. Suppose -u*x + 3*x = -124. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5.65, -127, 0, -2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3*0 - -8 - (-300)\/(-50). Which is the fifth smallest value? (a) 3 (b) m (c) -0.3 (d) -0.4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-4 + (0 - -2)). Let d = 384\/55 + -34\/5. Let c = -2\/25 + 17\/25. What is the second smallest value in x, c, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-1152)\/45)\/(4\/30). Suppose 24*c = 26*c - m - 83, 5*c - 3*m = k. Calculate the least common multiple of c and 15.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**5 - 246*u**4 + 7446*u**3 - 19788*u**2 - 7443*u + 20034 = 0?\nAnswer: -106, -1, 1, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 10:59 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -397, -357, -303, -229, -129, 3?\n\"Answer: w**3 + w**2 + 30*w - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4\/3 + 8*o**3 - 64*o**2\/3 - 200*o - 300.\nAnswer: 4*(o - 5)*(o + 3)**2*(o + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1442105*w + 6005791 wrt w.\nAnswer: 1442105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/3 + 1421*m + 4264\/3 = 0. What is m?\nAnswer: -1, 4264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3466 + 27647\/8. What is the common denominator of i and 49\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/(6\/24). Let i(n) = n - 7 - 17*n**2 + 9*n**u + 9*n**2. Calculate the remainder when i(-6) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/11)*q\/(q**(-8\/3)*q))**40)**(28\/3) assuming q is positive.\nAnswer: q**(91840\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 11) to base 9\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6344\/19 + 334. What is the third biggest value in x, 4, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3611 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 3612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357587 is divided by 1419.\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:02 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-210))\/(192\/640)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -5. Suppose r*w - 4*a = 336, -w = 7*a - 2*a - 78. Suppose 3*k = -3*m + 69, 2*k + w = 4*m + 15. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 383 - 254. Let a = g - 129.00063. Round a to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 1988560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -810\/2737 + 4\/391. Let d be (-2 + 0)*-6 - 3. Let s = 7 - d. Which is the closest to 1? (a) 0 (b) s (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -14, 0.4, -2\/7 in descending order.\nAnswer: 0.4, 1\/4, -2\/7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 24 - 18*u**2 + u to w + i*u + f*u**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 66092?\nAnswer: -66092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 3, 5 in descending order.\nAnswer: 5, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -28*t + 1087. Let i be w(38). Solve 2*f = i - 19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2*g + 4 = 0, -4*j + 3*g + 23 = 21 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: e17f25 (base 16) to base 14\nAnswer: 1d698a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 15032531?\nAnswer: 15032531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9678211?\nAnswer: 79, 122509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -5*z - 3, -29*x - z = -25*x + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 8*d**2 - d + 18. What is the units digit of u(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0761 + -6.8261. Let s = -6.25 - n. Sort s, 3, 8\/7 in descending order.\nAnswer: 3, 8\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 5:20 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 287, 1, -2, -4, 2, -14, 5.\nAnswer: -14, -4, -2, 1, 2, 5, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -1, 3, 293 in increasing order.\nAnswer: -3, -2, -1, 3, 293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 46*d - 165. Let g(p) = 13*p + 1. Let s(u) = 4*g(u) - w(u). Determine s(-29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 567628 = -66*x + 3199114. What are the prime factors of x?\nAnswer: 13, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -433118 by 61874.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54695*p**2*x + 235758*p**2 wrt x?\nAnswer: 54695*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 54 + 27 = 22*v + 59, 9 = 6*b + 45 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Suppose -37*t + 33 = -4*t. What is the greatest common factor of t and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 3*x**2 + 1. Let u be o(3). Let z be 88\/(-12) + u\/3. Let s = z + 10. Solve -s*b + 2 = -1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**2*o**2 - 4*l**2*o + 64*l**2 + 58*l*o**2 + 11 wrt o?\nAnswer: 4*l**2*o - 4*l**2 + 116*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1282059 and 40581?\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 7*i - 24. Suppose -4*b + i = -2*b. Let x be (-3 + 14\/4)\/(b\/78). Calculate the greatest common factor of x and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-7)\/14))\/(3\/9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538165349.\nAnswer: 167, 3222547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {d: 5, e: 14}?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28\/(-21) + (-331)\/(-3) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -585795 by -15.\nAnswer: 39053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - -2) + -3 + (-28 - -52). Solve -38*n - 40 = -f*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345051013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1731 (b) 5 (c) 0.03 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*h**3 - 23*h**3 + 9*h**3 + 2902 + 154*h - 154*h + h**2 as y*h**3 + b + a*h + o*h**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = u - 4*n, -31*n + 35*n + 202 = 2*u. Suppose -22 = 2*a - 106. What is the remainder when u is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -119 + 123. Calculate the smallest common multiple of 11 and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 16 - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/36 and 57\/200.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44578757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2076684 by -692228.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 3*f**2 + 2*f. Let j(k) = -k**2 + 28. Let d be j(0). Suppose -4*x - d = -2*x. Let p be x\/(-6) + 6\/9. Give s(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 109*a**2 + 343*a**2 + 102*a**2 + 3*a.\nAnswer: 336*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -311*a + 1437. Let i be s(6). Suppose -9 = -3*d + 9. Is 74\/(d\/(-33) - 144\/i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 32*l - 1 + 55*l - 17*l + 0. Let d(w) = w**2. Determine u(d(m)).\nAnswer: 70*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -975 + 1443. Is 39 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31438*f**4*z + 9*f**2*h + 3*f**2*z**2 + 12*f*h*z**2 + 390*f*h - 3*f*z**2 + 2*f + h wrt f?\nAnswer: -377256*f**2*z + 18*h + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -472781 + 198567851\/420. Calculate the common denominator of l and -139\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 + -46. Let l be (-1)\/(f\/180)*(-4 - 0). Let s = 33 + l. List the prime factors of s.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3038 and 117\/87220.\nAnswer: 2703820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 418 divided by -2152\nAnswer: -209\/1076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 719619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-19)\/3)\/((-4)\/60) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 30845586.\nAnswer: 61691172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15894 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y + 3 - y**2 + 0*y + 2*y**2. What is l(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h - 3 + 0*h**3 + h**3 + 8 - 3*h. Let j(b) = -b**3 + 5*b**2 + b - 5. Let m be 3\/(-2)*(-10)\/3. Let y be j(m). Calculate s(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**6\/360 - f**5\/20 + f**4\/8 - 2*f**3\/3 + 1. Let q(s) be the third derivative of x(s). List the prime factors of q(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1660.3*0.273\nAnswer: 453.2619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1569*i**5*y + 11*i**3*y + 6*i**2*y - 148*y - 34 wrt i.\nAnswer: -94140*i**2*y + 66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3, 5, 50?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4958 - -4959. Put 3, 1366, l in decreasing order.\nAnswer: 1366, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.91 + -0.09. Let y be 6\/(-4)*(96\/9 - 10). Which is the second smallest value? (a) 5 (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-377)\/(-11310) + 566\/(-13380)?\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0405 - 0.1595. Let q = 3.37 - -0.43. Let b = -1.2 - q. Sort -0.4, b, p in decreasing order.\nAnswer: p, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, p: 2, w: 1, g: 1, s: 1, e: 3}. Give prob of sequence ee.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - o + (-1 + 0 + 0)*(0*o - 3*o + 4*o) + 16 - 16 + 9*o + (4 - 4 - 2)*(0*o - o - o) - 3*o + 6*o - o - 4*o + 2*o + 4*o.\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*u - 43*u**2 - 87*u + 21*u + 19*u to the form r*u + c*u**2 + a and give c.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 446 divide 1437904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 2091 + 321 = 0. Suppose -2*p = g - y, p + 488 = 4*g - 3*p. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 2*m**2 - 1. Let v be x(-3). Let y be 44\/3*(-18)\/(-12). Let l = v + y. What is the greatest common divisor of l and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67 - -78. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 3*t + 13. Let r be c(-5). Suppose -r*f + 11 = 8*f. Solve 3*a + f = -5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3681512758 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, y: 7}. What is prob of sequence yy?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 8*g - 2. Let o be j(6). Suppose -o*m + 779 = -281. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/30*25*(-451)\/165. What is the fourth smallest value in -1\/8, 5, w, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(2448) - sqrt(2448)*-1) + (sqrt(119) - (sqrt(119) + sqrt(119) + sqrt(119)*3 + sqrt(119)))\/sqrt(7) + 2 + -6*(-2 + sqrt(1088))).\nAnswer: -29*sqrt(17) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -10) + 48 + -66 + (39 - 4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 98899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -20*p. Let k(n) be the third derivative of -n**4\/24 + 143*n**3\/6 + 15*n**2 - 60*n. What is k(z(b))?\nAnswer: 20*b + 143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 76 = 2*u, 3*u + 15 = -0. Suppose 0 = -51*n + 487 + 3296 + 756. Let i = k + n. Solve 4*v = 11 - i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 320287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -411572*c*g**2*y + 2*c*g*y**2 - 4984*c*g - g**2*y**2 - 49*y**2 - 3 wrt g?\nAnswer: -823144*c*y - 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 7. Let p be y + (4 - (0 - -2)). Let u = 0 + p. Sort -1, 4, u in descending order.\nAnswer: u, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - x = -4128 - 1524, -3*q + 3396 = -x. What are the prime factors of ((-200)\/(-3))\/(58\/q)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a hour?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*c - 2*y + 8, -10 = -5*c + 2*y. Let f be (4 - 1) + c + -40. Let l be 1500000\/f*154\/(-4). Round l to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -2*t**3\/3 + 20*t**2 - 247*t. What is b(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8457 and -1.402.\nAnswer: 11856.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 8*d**2 - 23. Let p be u(-15). Let i = p - -2381. List the prime factors of i.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - f - 9 = f, -4*o = 2*f + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 215864 rounded to the nearest one thousand?\nAnswer: 216000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/1115 (b) -3 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40703 divided by 63?\nAnswer: 40703\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10458548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*l + 23 - 58*l + 115*l.\nAnswer: 2*l + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4173 - 4203. Let t be 1\/(-3)*-6*1. Solve -3*q + k = -3*r, -r - 12 = t*r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3 + 13 - 25*k - 14 + 1376*k**2 - 7 + 15*k. Let p be n(-1). Round p to the nearest ten.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000302 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.29 - 0.13. Let o = 0.16 - h. Let v = 0.2 + -0.5. What is the nearest to o in -2\/3, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 19*w - 4. Let i be a(19). Let h = 9 + -14. Let t(u) = u. Let x be t(h). Sort i, x, 2 in increasing order.\nAnswer: x, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -406401 rounded to the nearest 1000?\nAnswer: -406000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4818 + 4820. Let j(c) be the second derivative of 1\/20*c**5 - 1\/2*c**4 + 0 - 14*c + 1\/2*c**g + 0*c**3. Calculate j(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -4, 15.\nAnswer: -4, -3, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = 46 - 70 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 60, 25, -44, -159?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14768 (base 9) to base 7\nAnswer: 41315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.937 - -0.063. What is the biggest value in 1\/3, l, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 - 3.08. Let w = -3.54 - -0.34. Let r = w - u. Which is the third biggest value? (a) r (b) -2\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011923.43*-4\nAnswer: -4047693.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6*w**2 + 3)*(w**2 + 4 - 4) - 2*w**4 + w**4 + 3*w**4.\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52817 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u**3 + 12*u + 3*u**3 - 10*u as j*u + s*u**3 + w*u**2 + m and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5586*h**3 - 2928*h**3 - 2810*h**3 - 2.\nAnswer: -152*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*m + 22, -m = 3*o - 1159 + 1141. Calculate the remainder when 92 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 + 9)*(-43*l - 40*l + 78*l) + 2 - 2 + 3*l)*(-2*l**3 + 0*l**2 + 0*l**2).\nAnswer: 104*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -65*j - 368. Calculate y(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**2 + 2*v - 174. Give f(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 10. Suppose 3*c - s = c + k, 2*s = -2. Suppose 3*q - c - 5 = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 8:58 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 8*i - 15. What is the remainder when 32 is divided by o(11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4605661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1767711 and -4.82683741.\nAnswer: 1767706.17316259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 354 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 + 75 - 48) + (-25 - 19)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28832 and 5848.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 35 - 3 - 392*y - 10 - 22. Let b(v) = 3*v. What is r(b(g))?\nAnswer: -1176*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 246\/(-33) + (-392)\/(-49). Suppose m - 10 = -5*i + 3*m, 0 = i - 5*m - 2. Let t be (-4)\/14 - i\/(-7). Is r less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.2 - 3. Let i = -0.25 + -0.25. Which is the biggest value? (a) i (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x = 0. Let k be 0\/(1\/(x - -1)). Let z = -1 + 2. Do k and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a week in minutes?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 2*z + 2*z)*(-187 - 317*z**2 + 325*z**2 + 333)*(-4*z + z + 0*z) as v*z**2 + r*z + c*z**4 + d + l*z**3 and give v.\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 2*i - 2. Let r be 35\/(-10)*1*2. Let s = -5 - r. What is q(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 760*z - 345 = 765*z. Let g = z - -72. Factor -3\/5*y - 3\/5 + 3\/5*y**g + 3\/5*y**2.\nAnswer: 3*(y - 1)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1907349835 to the power of 1\/3, to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**4\/24 - 3*s**3\/2 + 11*s**2\/2 - 8*s. Let g(b) be the first derivative of t(b). Determine g(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhk when three letters picked without replacement from {u: 5, t: 1, h: 10, k: 1, b: 1, e: 1}?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g - 30. Let v(s) = -2*s - 16. Let w(b) = 3*m(b) - 5*v(b). Let q(x) = 8. Let k(l) = 5*q(l) + 4*w(l). Give k(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 33. Let j(z) = 20*z**3 - 15*z**2 - 52*z - 26. Let r(m) = -7*m**3 + 5*m**2 + 18*m + 9. Let d(a) = n*j(a) + 17*r(a). Calculate d(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/16)\/(((-1935)\/30)\/(-43)).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/60)\/(2 + -3).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, g: 1, d: 2, a: 1}. What is prob of picking 1 z, 2 d, and 1 g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 + 10 = 5*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -28, 19, 3\/14, 1\/806, 1 in increasing order.\nAnswer: -28, -0.1, 1\/806, 3\/14, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -259, -497, -813?\nAnswer: -1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - (-11 + 0 + 0 + 9)) + -12?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -3. What is the least common multiple of (-1)\/(-4) + (-165)\/(-44) and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.89663 and -358.\nAnswer: 320.99354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**5\/5 - r**4\/4 - 5*r**3\/3 + 9*r**2\/2 - 16*r. What is the tens digit of c(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 f when four letters picked without replacement from dddsfdcpfdfsfds?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 104.47+98870749841\nAnswer: 98870749945.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 3*z**2 - 5*z. Let l be y(-2). Let w(u) = -3*u + 15. Let q be w(l). Let j be (6\/(-8))\/(q\/288). Calculate the highest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487*s = -492*s + 150. What is the greatest common divisor of 120 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16062.259 - -3\nAnswer: -16059.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2356\/15 + -157. Let w(v) be the second derivative of -1\/4*v**2 - f*v**6 - 3\/40*v**5 + 0 + 5\/24*v**4 + 1\/4*v**3 + 2*v. Determine p, given that w(p) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3961?\nAnswer: 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 11*h. Calculate q(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521*t + 75687 = 87670 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*n - 5*o, 2*o = -14*n + 10*n + 10. Solve -n*h + 9 = -4*r, 2*r + 9*h - 33 = 4*h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 499788630 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 147189 + -36489. Suppose 3*k - 3 = 3. Suppose -k*n - n = -c. Round n to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7 = -9*m. Let r = 9 - 5. Let q = 0 + r. Sort 8, m, q in descending order.\nAnswer: 8, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1093, -500.6, 4 in descending order.\nAnswer: 1093, 4, -500.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 73*g**3 - 502*g**3 - 1845*g**3 - 3 + 33*g**3 + 3 + (2*g - 6*g - 5*g)*(-3 + 3 - 2*g**2).\nAnswer: -2223*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11316 + 11281 + 33*n + 34*n - 67*n + 20*n**2.\nAnswer: 20*n**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**3 + 1203*z**2 + 8274*z = 0.\nAnswer: -394, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68152739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3490 - -3490. Solve 10*b - 7 - 13 = n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167925343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -8 (c) 2 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20094*l = -5876*l + 1535544 for l.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 10 = -4*a. Let c(h) = h - h**2 - h**3 - 7 + h + 9. Determine c(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -913, -1823, -2749, -3691, -4649?\nAnswer: -5623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b = 4. Let t be b\/(-1) - (-1 + 0 + -1). Solve t*p - 1 = 14 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 + 7 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1.5, 4, 0.09, -609, -0.2 in ascending order.\nAnswer: -609, -1.5, -0.2, 0.09, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-8 - (1 + -3)) - (11 + -8 - 2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**6\/120 + i**5\/15 - 13*i**3\/3 + i**2 + 7. Is w(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 5*n - 8. Let t be g(6). Let l be 159\/(-1431) + 38\/(-144). Which is the biggest value? (a) t (b) 17 (c) 1\/10 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u. Let r(d) = 72581*d - 2534. Let y(c) = -172*c + 6. Let k(v) = -3*r(v) - 1267*y(v). Calculate q(k(x)).\nAnswer: 362*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a - 34472*a**3 - 4 + 3*a**2 + 34474*a**3 + 7*a. Let r(o) = -8*o**3 - 13*o**2 - 13*o + 17. Calculate -6*r(b) - 26*s(b).\nAnswer: -4*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*c + 1649 = 0, -3*c = 4*q - 6*c - 2193. Is 33 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 4*p + 4. Let k = -31 - -38. Let r be z(k). Suppose 200 = -5*u - r. What is u rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 6541 = -6151. List the prime factors of k.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -3\/20*r**6 - 4*r**2 + 1\/30*r**5 - 1\/8*r**4 + 0 + 0*r - 11\/6*r**3. Is b(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23849 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4\/7))\/v**9 assuming v is positive.\nAnswer: v**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 839 + -839.0413. Let q = 0.05946 + t. Let n = q - 0.0133. What is n rounded to 4 dps?\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 347448 and 12333003.\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.09 - -0.09. Let o = 26\/11 - 152\/55. What is the closest to o in 3, b, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((-40)\/2 + (-5100)\/(-260))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7516412590 to the nearest integer?\nAnswer: 1959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 116 = 4*s, s = 2*s + h - 22. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 24 = -7*d. Suppose 0 = -2*f - 10 - 8. What are the prime factors of d\/f + (-10)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 10\/7, 0?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -1, 0.0338, -0.01?\nAnswer: 0.0338","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 372762605?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 3*b + 3. Suppose 0 = -4*s + 9*s + 30. Let n(h) = 3*h**2 - 5*h + 5. Let m(w) = s*n(w) + 10*d(w). Let v(l) = -2*l**2. What is m(v(o))?\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-23)\/3*3*-1*1. Let d = -20 + r. What is the remainder when 4 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 348*m - 2491. What is z(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w + 2. Suppose -5*h = -w*i + 3, i + 0 - 2 = 3*h. Is 9 a factor of (-85)\/(-10)*(1 - h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9 + 116\/(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1253 divided by 3?\nAnswer: -1253\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 362375 (base 8) in base 14?\nAnswer: 33365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -210.3 + 194. Let y = -16 - f. Suppose -6*x + x = -5*o + 5, -3*x + 1 = o. What is the biggest value in o, 0.6, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + 3 + -2 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -86. Let z = 85 - x. Do z and 3\/136 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = 7*g + 299. Put 2\/471, g, -0.5 in descending order.\nAnswer: g, 2\/471, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 2:57 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 1\/9*u**4 - 4\/9*u**3 + 0 + u + 0*u**2. What is t in f(t) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -216.551365 - -0.237365. Let u = s + 219. What is u rounded to 1 decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**3 + 2*y + 1. Let o(j) = j + 1. What is o(t) - v(t)?\nAnswer: -5*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 - h**2 - 656\/3*h = 0.\nAnswer: -219, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 464, -4, -1 in ascending order.\nAnswer: -4, -1, 464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 3\/3)*(-7 - (-7 + 1)). Solve -5*t + z + 26 = 0, -7*t + 8*t + 2*z - 3 = r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1462 * -0.74\nAnswer: 1081.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/21)\/(-2))\/(66\/(-231))*6\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/22 - (60\/(-55))\/6. Solve t = p + 3*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 30 + 40 = 2*t, 25 = 2*z + 5*t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 0*t**3 + 3\/5*t**5 - 2 + 0*t**2 + 3\/4*t**4 + 0*t. Factor b(g).\nAnswer: 3*g**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111870045 divided by 22374009.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 33*j - 98. Give x(-7).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27\/197 + -5569\/13987. Let x = -434\/781 + a. Suppose -f = 4*c - 56 + 50, 3*c = -3*f. Is x != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7962*l**3 + 366*l**2 - 5*l + 6. Let o(i) = i**3 + 3*i**2 + i - 2. Let c(v) = -g(v) - 3*o(v). Find the third derivative of c(j) wrt j.\nAnswer: 47754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-798))\/(3\/3)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*i, -i + 2 = o. Find the second derivative of o - 2*x**2 - 4*x - 2 wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 7:57 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 215888 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 the common denominator of -37\/93 and 1\/133893.\nAnswer: 4150683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105785 is divided by 192?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**2 - 730*l**3 - 8*l**4 - 3*l - l**2 - 13*l + 733*l**3 + 0*l**2 to y + p*l**4 + k*l**2 + b*l**3 + h*l and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1592\/11, -1, 1, -0.3, 0.5 in decreasing order.\nAnswer: 1, 0.5, -0.3, -1, -1592\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 3:05 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2158306745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 2*t + 3*t)*(3 + 4*t**2 - 3 - 2) + (-5 + 5 + t)*(2 - 2 - t**2).\nAnswer: 7*t**3 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186)\/16 + 8 + (-15)\/40 - 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 21*x**2 + 6 - 4*x + 7*x.\nAnswer: 21*x**2 + 6*x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5235 + 1.\nAnswer: -5234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088)*-1*6 + (2 + -1 + sqrt(17) - (1*sqrt(34))\/sqrt(2)).\nAnswer: -48*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -54315 (base 6) to base 9\nAnswer: -11212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i**3*t + 93233*i**2 + 2*i + 1908246*t with respect to i.\nAnswer: -9*i**2*t + 186466*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 2*y - 12 = 5*z, 4*z + 3*y = 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 305*c**2 - 17*c**2 + 616*c**2 + 1417*c**2 to v + a*c + d*c**2 and give d.\nAnswer: 2321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**5 - 6*c**4 - 101*c**3 - 33*c**2 - 234?\nAnswer: -60*c**2 - 144*c - 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l**3 - 20*l**2 + l + 104. Calculate z(0).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-698445)\/342375)\/(34\/(-30))\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0)*(17 + 6 + 49*p - 50*p) to f*p + l and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 12:46 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 384 = -j. Suppose -7*h + j = -13*h. Is 15 a factor of (30\/2)\/((-8)\/h*8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.31. Which is the closest to 1? (a) -0.2 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5838*t**3 - 2926*t**3 - 2915*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7804?\nAnswer: 2, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 6 = -3*o, -3*n + 0*o + 18 = 3*o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 13*v - 6. Let r be j(13). Let h be 0 - -2*(-9)\/r. Which is smaller: h or 8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49185 is divided by 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5)*(-2 - l + 2) - 4*l + 3*l + 0*l - 2*l + 2*l + l + 2*l - l - 2*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -197\/6930 and 89\/175733712.\nAnswer: 878668560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1139, -1159, -1179?\n\"Answer: -20*p - 1119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**5\/4 - 549*g**4\/4 + 1113*g**3\/2 - 1677*g**2\/2 + 2241*g\/4 - 561\/4.\nAnswer: -3*(g - 1)**4*(g + 187)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.0745, -0.2, -1\/6, -5.\nAnswer: -5, -0.2, -1\/6, 0.0745, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 9580*v**3 - 4*v**2 + 775*v - 3099. Is b(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 31505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*m - 90 = 0, 137 - 15 = 3*s + m. Calculate the lowest common multiple of 32 and s.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5203 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/95 and 129\/288610.\nAnswer: 288610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3)*12\/(-24)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -1)*(13 + -5 - 7\/1). Is -3\/173 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/10 and -113\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 5*w + 561960, 4*a - 3*a - w = 561990. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001322021 - -203?\nAnswer: -1001321212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 210 + -126. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 13*g**5\/60 + g**4\/4 - 7*g**3\/6 - 10*g**2. Is o(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1040 and 763508720.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -52767 divided by 1353?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(2) - (sqrt(32) + sqrt(2))) + 3).\nAnswer: -16*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 11*n - 9. Let i be g(3). Calculate the greatest common divisor of i and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 8) + 22 + -20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 0*n + 2*d + 108, -d = 5*n - 551. Which is bigger: n or 109?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*2\/40 + (-116)\/464?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33218888863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1210 or 1220?\nAnswer: 1210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**4\/3 + 14*t**3 - 92*t**2 - t - 113. Let k(a) = 0. Calculate a.\nAnswer: -23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 11) in base 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*u - 26. Let h(n) = -3*n**3 + n**2 + 3*n. Let x(z) = z**3 - z**2 - z. What is u*h(r) - 4*x(r)?\nAnswer: -r**3 + 3*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7\/79 + 3179\/1106. What is the common denominator of z and -81\/196?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 173*s - 357*s + 239*s + 1430 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-93 - 3)*((-103)\/3 + 1). Round u to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 + 49*g**2 - 24*g - 23. Let o be u(24). Put o, 4, -1, 1\/7 in descending order.\nAnswer: 4, 1\/7, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516033 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3*f**2*y**2 - 2*d**3*y**2 - 1221*d*f**2*y - 26*d*f*y + 8*d*y + 3*f*y**2 wrt f?\nAnswer: -2*d**3*y**2 - 2442*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.97286 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -66*p + 312. Give g(10).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.1 (b) -0.5 (c) 25 (d) 20\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145.7943 + -10028433.\nAnswer: -10028578.7943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, 1.2, -0.5 in descending order.\nAnswer: 3, 1.2, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -300 + 306. Let u(y) = -7 + 2*y + 0*y - 3*y**3 - y**3 + 6*y**2 + 3*y**3. Calculate u(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3) + sqrt(12)\/sqrt(4) + sqrt(3))**2*-6 - ((sqrt(162)*-3 + sqrt(162))\/sqrt(6))\/sqrt(9).\nAnswer: 2*sqrt(3) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (35 - (3 - 64))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135*c**2 - 415*c + 57*c + 200*c wrt c.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -7*o**2 - 3. Let r(v) = 6*v. Calculate r(i(d)).\nAnswer: -42*d**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19753 and 0.02?\nAnswer: 395.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 61 = 4*y - 160, 3*y = 5*f + 83. Suppose 5*n = -4*n - 2052. Let o = n + 254. Calculate the highest common factor of o and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 5 = 5*k - 2*i + 5*i, 48 = 34*k - 26*k - 2*i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-10 - -18) - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16885 or 1525?\nAnswer: 1525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000449436 rounded to 6 decimal places?\nAnswer: -0.000449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -290 greater than or equal to -82.43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6321147*t**2*v**3 - 185*t**2*v**2 + 403*t**2*v - t**2 wrt v.\nAnswer: -37926882*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2079208 and 304?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1479 + 1485. What is the smallest common multiple of j and 362?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(5\/2)*v**(5\/3)*(v*v**(-2\/3)*v)**(1\/3) assuming v is positive.\nAnswer: v**(83\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -1019\nAnswer: -7\/1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -183 in ascending order.\nAnswer: -183, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32888 is divided by 76?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*f + 201*f - 244 = 0. Solve -t = -5*x - f*t - 16, x - 6 = 4*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29178 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**5 - 2*l**5 + 0*l**5 + (-3 + 0 + 2)*(16*l**5 + 7*l**5 + 7*l**5).\nAnswer: -29*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 1856 and 1857 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtgg. Give prob of sequence tg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (324 - 114 + 319)*(2*k + 2*k + 3*k).\nAnswer: 3703*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**3 - 3*f**3 - 3*f**3 + 8*f - 3*f**3 wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2938?\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 12312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/15, -3\/8, -15, 128, 1\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224\/14*4430\/886.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3976471, -3976476, -3976481, -3976486, -3976491?\n\"Answer: -5*i - 3976466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -11*g + 260. Suppose -57*t = -g*t + 8. What is the greatest common factor of 13 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*j = -650, 2*u - 4*j + 186 = -78. What is the smallest common multiple of 16 and ((360\/16)\/(-15))\/(6\/u)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 1)\/4*0. Let s(v) be the third derivative of 0*v**5 + 0 - 1\/6*v**3 + 2*v**2 - 1\/120*v**6 + 0*v + m*v**4. Differentiate s(n) wrt n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 0*v**2 - 6*v**3 + 1761*v - 1761*v.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 561\/(-1496)*16\/(-2). Solve 0 = 26*w - b*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1181, 2365, 3549, 4733, 5917?\nAnswer: 7101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 4*g**2 + 11*g + 3. Let n(u) = -u**3 + 7*u**2 - 3*u + 6. What is the remainder when n(6) is divided by c(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6f17e9 (base 16) to base 9.\nAnswer: -14626114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 150 + -144. Calculate the highest common factor of b and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3986\/21871 at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*x**5\/5 + 15936*x**4\/5 - 2058051*x**3\/5 - 89494914*x**2\/5 + 111979296*x\/5 - 4088448 = 0. What is x?\nAnswer: -35, 2\/9, 1, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15331, -17226, -19121, -21016?\nAnswer: -22911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 20, 28, 0.5, -0.1.\nAnswer: -0.1, -0.04, 0.5, 20, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 43444046 and 2\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69173 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 528.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 41*p**2 + 23*p - 215. Calculate s(-41).\nAnswer: -1158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 27 = 5*q - 283, 0 = o - 5*q - 68. Let w = 18 + -62. Let c = w + o. What is the remainder when c is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4488008*m**4 + 67158336*m**3 - 74233430*m**2 + 2610414*m - 23328 = 0.\nAnswer: -16, 27\/1498, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 1\/9 (b) 0.045267 (c) -2\/27 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 365*g - 77*g - 576 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from pdzvcpcccccz?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 6. Let l be u(0). Solve 8 = 2*m, 3*a = l*m - m - 23 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221200415.\nAnswer: 5, 2213, 19991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 321088 to the power of 1\/2, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342794.\nAnswer: 2, 101, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y + 12. Let w(i) = 3*i + 4. Let h(t) = l(t) - 3*w(t). Let v(a) = 2*a + 973. Give h(v(c)).\nAnswer: -4*c - 1946","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - -6*sqrt(72)*2 - sqrt(72))**2 - sqrt(72))*-2.\nAnswer: -20736 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 12 + 3 = 0. Suppose -4*c + f = 1. Let h be (-3)\/((-6)\/7 - (-10)\/(-70)). Solve 0 = c*k + l - 5, 2*k - h*l = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 18, -9, 14, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/22077 and 79\/15.\nAnswer: 110385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 15*a**2 + 9*a + 1. Let i be d(-8). Suppose 2*v - 348 = -5*m, 2*v - 7*v - 3*m + i = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.8379 - -0.01\nAnswer: -1.8279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8*h - 12. Let z be m(3). Calculate the highest common divisor of 8 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/1644 and -25\/6576.\nAnswer: 6576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-26)*(i**33*i)\/i*i assuming i is positive.\nAnswer: i**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 618 and (93 - 85)\/(-1*6\/(-9)).\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 410, 819, 1228?\nAnswer: 1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2003493 (base 10) to base 3\nAnswer: -10202210021110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32995, -65989, -98983, -131977, -164971, -197965?\nAnswer: -230959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 134703726*g - 68021168?\nAnswer: 134703726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -66863*l - 101. Give d(0).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*p**2 - 21*p**2 + 10*p**2 - 6)*(-11*p + 19*p + 70*p) to x + q*p**2 + j*p + a*p**3 and give j.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -28.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -16, -1, 13 in increasing order.\nAnswer: -16, -2, -1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50162059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.642 * -1.05.\nAnswer: -0.6741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from cfucccczccczc?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, u: 1, v: 1, q: 1, s: 3, m: 4}. What is prob of sequence smqu?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 + 513*f - 11464. Give w(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, 16, 17 in increasing order.\nAnswer: 4, 11, 16, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**24*k*k\/k**25 assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2802*u - 8398. Give l(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 4*j + 3*j)*(-j**2 + 4*j**2 - 4*j**2 + j - j - j**2 + (-2 + 2 + j)*(0 + 0 + j) + 0*j**2 - j**2 + 2*j**2 - j + j**2 + j - j**2 + 9*j**2 + 3*j**2).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -910 - -653. Let t = 698 + s. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96758 + -23452. Let m = -6890847\/94 + z. Find the common denominator of m and -40.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 239 - 167. Is 36 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -1 - (-63302)\/(-93))*-15. What is the highest common divisor of 80 and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 d when three letters picked without replacement from {d: 3, t: 7}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1103 is divided by 101?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3358516*t**3 + 4484*t**2 - 2242. Let k(m) = -4496*m**3 + 6*m**2 - 3. Give -3*i(x) + 2242*k(x).\nAnswer: -4484*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**4\/3 + 175*z**3 + 13750*z**2\/3 = 0.\nAnswer: -25, 0, 550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -26. Let p(i) = 56*i**2 + i**3 - 56*i**2 + 77 + i. List the prime factors of p(d).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7096 + -4962. What are the prime factors of v?\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15945, 15954, 15967, 15984, 16005, 16030?\nAnswer: 16059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -364 + 371. Let j(h) be the third derivative of 1\/35*h**y + 0 + 0*h**4 - 7*h**2 + 0*h**5 - 1\/3*h**3 + 0*h + 0*h**6. Differentiate j(f) wrt f.\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 15 = 3*b, -5*b - 171*n + 169*n = 16. Suppose 0*a - 6 = 2*a. What is the third smallest value in 18, b, a?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h + 0*h + h. Let y(l) = l + 1. Let i(t) = -t**2 + 3*t + 3. Let v(k) = i(k) - 3*y(k). What is v(c(w))?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/4)\/u*u)**(13\/3)\/(u**(-9\/5)\/(u\/(u**(-1\/13)*u))) assuming u is positive.\nAnswer: u**(1333\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-343)\/245)\/(1\/(-5)). What is the common denominator of ((-20650)\/2961 + y)\/((-3)\/(-36)) and -5\/33?\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400\/288 - 2\/4?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 183993 and 36307952?\nAnswer: 108923856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - (6\/30 + 8802\/15). Suppose -3*h + a - 1260 = 0, 4*h = -h + 4*a - 2093. Let w = h - s. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*j + 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.25 + 0.03. Let t = -0.2452 - p. Round t to three dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-440)\/110 + (-38)\/(-10)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22909.\nAnswer: 31, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 18*y - 15. What is the remainder when 6*(18 + 434\/28) is divided by j(14)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -320 - -1156. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kpkkkkppkkkk. Give prob of picking 1 k and 3 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o - 590*o**3 - 3*o - 274537406*o**2 - 3*o + 274537406*o**2.\nAnswer: -590*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 9:51 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 2957460?\nAnswer: 2957460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*r - 5*a, -3*r + 5*a = -2 + 20. Let f = 0.3 - 0.2. Which is smaller: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) 3 (c) 2231\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 6:29 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 4 (c) -1\/21 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8))**14\/((h\/h**18)\/(h*h**(-4\/5)*h)) assuming h is positive.\nAnswer: h**(-469\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6))\/((-25648)\/(-1374)) - 5\/168\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 - 6.6. Sort 3\/7, i, -0.3 in increasing order.\nAnswer: i, -0.3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2480197327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*o**5 - 565*o**4 + 8055*o**3 - 310*o**2 - 49280*o - 23520 = 0. What is o?\nAnswer: -2, -1\/2, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35823.76ng in grams?\nAnswer: 0.00003582376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.009 + -1.991. Sort -0.5, q, 5 in descending order.\nAnswer: 5, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1678, -6381, -11084, -15787, -20490?\n\"Answer: -4703*j + 3025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z - 24. Calculate j(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/37 and 8\/3.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 133002 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 5*x**2 + 5*x + 3. Let z be t(7). Calculate the common denominator of (z\/(-126))\/(1\/(-6)) and 41\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43434 divided by -114?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + o + 299 = 5*h, -5*o = 5*h - 275. Let q = 61 - h. Solve 4*l = -3*a + 4, 0*a = l - q*a + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*z + 4*t, -10 = 5*z + 5*t - 0*t. Suppose -2*o - 4*w = -5*o + 20, -2*w - 10 = 4*o. Let j(r) = 6 + 2*r**2 - 2 + 4*r + o. Determine j(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 24*d - 11*d - d - 21*d. Let n(f) = 57*f. Give c(n(a)).\nAnswer: -513*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3487 - 21*b + 3487 - 15*b**2.\nAnswer: -15*b**2 - 21*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21613 and 45.\nAnswer: -972585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 6*k + 5. Sort k, 4, 7.\nAnswer: k, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/36 and -79\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7174 + 11074. Does 13 divide ((-13)\/(-4))\/(15\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-10 - -18) + -18\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (2 + sqrt(304)*-1 + sqrt(304)))**2.\nAnswer: -16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s = -23*s - 24. Suppose -5*m + 35 = r - s, 3*r = -4*m + 112. What is the second derivative of c**2 - r*c**4 - 10*c**2 + 7*c + 9*c**2 wrt c?\nAnswer: -432*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 3:05 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 13 + 30 + 9)*(-4*f**2 - 2*f**2 + 3*f**2) to d*f**2 + w*f + r and give d.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7191 is divided by 2318.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 24 = 3*z, i - 4*z + 22 = 2*i. Suppose 0 = i*s - 4*s - 6. Let h be 8600008\/(s - 1) - 4. Round h to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1906 divided by -2.\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 4 (b) -6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -6037\nAnswer: 30185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 239970?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 300 - 8160. Suppose 0 = -1579*y + v*y + 21. Solve -4 = y*i + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b**2 - 430 + 210 + 218 + 12*b**2 + 6*b**2.\nAnswer: -2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 7.890928.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 361161103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -89*j + 20422. Give w(229).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1066197542 - -1068008258. Let d = -2134205572.9999483 + g. Let v = -227 + d. Round v to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -16 - (-9)\/(-1) - -12. Let u(t) = 14*t**2 - 4. Let h(v) = 7*v**2 - 2. Give p*h(m) + 6*u(m).\nAnswer: -7*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**5\/20 - j**4\/2 + j**3\/3 - j**2 - 2*j. Let w be d(6). Let s = w - 7. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 8) to base 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 4. Let o be l(0). Suppose 5*w = o*y - 132, -w = -3 - 1. Let a(k) = 42*k + y*k - 81*k. Let f(x) = 29*x. Determine a(f(s)).\nAnswer: -29*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**3\/6 + 5*c**2\/2 + 11*c - 3. Let m(b) = 5*b + 20. Give -2*m(q) + 9*t(q).\nAnswer: -q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2. Let m(j) = -193404*j. Give m(x(t)).\nAnswer: -386808*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 o when four letters picked without replacement from {f: 1, o: 12, x: 3}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 0.063, -4\/3, 15?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + a - 17 = 0, -4*a = 3*f - 4*f + 8. Is (-857 - f)*(-1)\/((-2)\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -547023, -1093394, -1639767, -2186142, -2732519?\nAnswer: -3278898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15295, 30584, 45873, 61162, 76451?\n\"Answer: 15289*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -1\/4, -199, -38\/15?\nAnswer: -38\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1604 - -0.1604. Which is the third biggest value? (a) f (b) 1 (c) 36 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 0 + 0 + -2 - -53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187031993 + 187031993 - 328*y**3.\nAnswer: -328*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**5\/17 + 4280*i**4 - 38939434*i**3 + 3967457548*i**2\/17 + 15881470384*i\/17 - 42338172032\/17 = 0.\nAnswer: -4, 2, 8, 18187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n*q**2*w**3 - 156294*n*q**2 + 164*q**2*w**3 - 2*q**2*w - 2*q**2 - 4*q - 16*w**3 wrt n.\nAnswer: q**2*w**3 - 156294*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574585 is divided by 4164?\nAnswer: 4117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-9)*(1 + 2). Solve -r*s = -4*g - 2*s + 4, s + 2 = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*w + 3, 90*w - 86*w - 5*r - 3 = 0. Put -43, -2, 4, 3, w in increasing order.\nAnswer: -43, w, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-6)\/(j*j*j**(-20)))**39)**19)**(-2\/43) assuming j is positive.\nAnswer: j**(-17784\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k. Let t be w(2). Suppose -10*n = -62 + 52. Solve -n = -t*m - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.2 (b) 1.5 (c) -3\/4 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 383172, 765068, 1146964?\nAnswer: 1528860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i + 16. Suppose 3*x + 12 = i*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - 35. Let s be ((-2)\/(-30))\/(8\/g). Let k = 3 - 3. Is k less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**5 - 5 + 5)*(-4 + 3 - 1) - 2184*s - 186*s**5 + 2184*s.\nAnswer: -178*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - v - 629, -631 = 4*w - 9*w - v. Let u be (-5)\/(300\/(-6444)) + (-6)\/(-10). Calculate the highest common factor of w and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 1:08 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-4)\/(-12)*(-12)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4041440 and 16588.\nAnswer: 44455840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -5. Let l = -6 + 5. Let k = l + v. Solve -2*b - 4 - k = 4*c, -2*c = -3*b - 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(612) - sqrt(612))*4 + 1*sqrt(612) + sqrt(612) + 0 + 1)**2.\nAnswer: -120*sqrt(17) + 61201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + t - 1. Let n(r) = 2*r**2 + r - 1. Suppose -2*c + 153 = 114*c - 427. Suppose 4 = i - 2*i. What is c*n(h) + i*d(h)?\nAnswer: 2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70904 and 664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 66 = -2*i, -4*f + 292 = 4*i + 228 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48457608.245000234 + -48457607.6. Let z = 0.645 - v. Round z to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 - 60 + 2*j**2 + 2*j + 2*j**4 + 61 - 4*j in the form q*j**4 + x + f*j**3 + l*j**2 + n*j and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/(-2 - 2\/(-4)). Let f be ((-1284)\/(-7) - 3) + (-6)\/14. Let y be (f\/120)\/(-2*(-6)\/1232). What is the greatest common divisor of k and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -231, 0, 1572, 34, -5, 1 in decreasing order.\nAnswer: 1572, 34, 1, 0, -5, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11517 and 100064931?\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 213 + 224145?\nAnswer: 224402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 + (-1 + -6 + 2 + -10 + 4 - 2)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/3 - 24261*k**2 + 3*k + 218349.\nAnswer: -(k - 3)*(k + 3)*(k + 72783)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116*f**5 + 7089*f**4 + 2*f**3 - 441206*f**2 + 28*f.\nAnswer: -6960*f**2 + 170136*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 245 + -116. Suppose g + 3*s - t = -2*g, 3*s = 4*g - 144. Calculate the remainder when g is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74709\/14 or -5337?\nAnswer: -5337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 5*m + 9, -33 = -3*m - 1141*s + 1143*s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46\/87 + 4\/29. What is the closest to -1 in 2\/11, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 431, 434, 437, 440, 443?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/7)*(g\/(g\/(g\/(g*g*g*g**(-23)*g*g))))\/g*g assuming g is positive.\nAnswer: g**(135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -13, -59, -143, -277?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 5*n - 168. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from {x: 2, w: 13, i: 3}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11067*2996.\nAnswer: -33156732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*u**4 - 11*u**4 - 9*u**4 + (24*u**2 - 6*u**2 + 13*u**2)*(-3*u**2 + 10 - 10) to the form j*u**4 + d*u + s*u**2 + y*u**3 + l and give j.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 504715 less than 0.157?\nAnswer: -504714.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 256 = 2*w, 5*w + 116 - 886 = 3*x. Let o be x\/8*4\/(-5). Let y be (-381)\/(-6) + (-6)\/(-4). What is the highest common divisor of o and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 5*q**8\/336 - q**7\/14 - 5*q**6\/24 + 9*q**5\/4 - 20*q**4\/3 + 10*q**3 - 352*q**2. Find h, given that x(h) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*t**4 - 82*t**4 + 33*t**4 + (-t**3 - 3*t**3 + t**3)*(0*t - t + 0*t) - t**4 - 1 + 1 as q*t + r*t**4 + u*t**3 + m + i*t**2 and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83400 is divided by 187?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 - 4872*r - 48504. Determine x(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 22*n**2 + 1\/60*n**5 + 0 + 0*n + 0*n**3 + 0*n**4. Let m(w) = 3*w**2. Give t(m(z)).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 16*u**2 + 13*u - 25. Let g be o(-15). Suppose 18 = g*t + 3. Solve -3*s + 19 = 4*n - 4*s, 3*n + t*s - 18 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from rxxxrxrxxr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 176.8 - 175.8. Which is the second biggest value? (a) k (b) -2\/11 (c) -13 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/(-180) + 4\/(-18). Suppose 40*q - 4672 - 2608 = s. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2656265*n. Let v(i) = -i**2. Give d(v(y)).\nAnswer: 2656265*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, f: 4, r: 9}. Give prob of picking 2 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 - j + 2. Let b(o) = -425*o**3 + 19*o**2 + 6*o - 12. Calculate -b(m) - 6*c(m).\nAnswer: 425*m**3 - 7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 333100440 - -1?\nAnswer: 333100441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*b**4 - 234*b**3 - 4652.\nAnswer: 28*b**3 - 702*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.55 + 0.078. Let c = d - -0.002. What is c rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 5, -3, -11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1444 divide 10739028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168728 is divided by 709?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4690 is divided by 65.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.998044 + -12. What is k rounded to 4 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15194 and 5\/14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 442951321 to the power of 1\/3, to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h = -260 - 36 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {o: 1, t: 3, j: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.1, 1\/3, -5\/3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001 + 1020310?\nAnswer: 1021311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-98)\/294)\/((-528)\/(-855) - 24\/40)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*s, 47*s - 3 = l + 44*s. Let j = -64.1 - -64. Let q = 20\/9 - 107\/36. What is the closest to l in 0, q, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 - 17*s - 9. Let d = -11 - -3. Let t be x(d). What is the units digit of (290\/(-15) + t)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(sqrt(2299) + -2*sqrt(2299)))*-3.\nAnswer: -33*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -90*a**2 - 25*a - 144996?\nAnswer: -180*a - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 65. Let p be (0 - 5)*j\/(-385). Put 5, p, 2 in ascending order.\nAnswer: p, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**2 - 14*n + 1. What is the tens digit of w(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(170) + 2*sqrt(170)*-3)*2)\/((-1*sqrt(160) - sqrt(160))*-4))**2.\nAnswer: -15*sqrt(17)\/8 + 2729\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 19858\/265, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4450 + 4666. Calculate the highest common divisor of 513 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 276674*c**3 - 10144*c + 2?\nAnswer: 1660044*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -152? (a) -24 (b) 0 (c) -2 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Find the second derivative of -2*u**q - 4*u**3 + 2*u**3 - 4*u + 0*u wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*w = 0. Suppose 5*r - 2 - 33 = w. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 164721*u**3 - 164707*u**3 + 9 + 9 + 4*u**2 in the form q + v*u + g*u**3 + d*u**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, g: 3, t: 1, q: 2}. Give prob of picking 1 f and 3 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -3.5. Which is the nearest to 0? (a) s (b) -0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -18\/5*i**2 + 24\/5*i + 0 + 3\/5*i**3 = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7825.\nAnswer: 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 695\/30*(-13)\/((-65)\/30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 489 in -2\/51, 1\/4, -13.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**7\/1995 + y**5\/285 - y**3\/57 - 15*y**2. Determine a so that p(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -10. Suppose -z + 0*z = -2. What is the nearest to 1 in -0.5, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -2 - -4) + (-13 - -9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1036720*a*z**3 - 2*a*z**2 - 13*a*z - 6323*a + 4*z**2 wrt z.\nAnswer: 6220320*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (3\/(-6)*2)\/((-3)\/354)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/759150 and 181\/160020.\nAnswer: 192824100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-2) + (3 - 67\/45). Let h(j) be the second derivative of -w*j**6 + 0*j**2 + 0*j**5 + 0 - 7*j + 1\/12*j**4 + 1\/9*j**3. What is d in h(d) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-7 - -5) - 10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -5, 3, -46, 4, -6 in decreasing order.\nAnswer: 4, 3, -5, -6, -46, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 20. Suppose -2*l - 77 = z*l. Let a(k) = k**2 + 8*k + 9. Does 19 divide a(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.41 times 0.011887?\nAnswer: 0.02864767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 751, 1557, 2403, 3289, 4215, 5181, 6187?\n\"Answer: 20*t**2 + 746*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 7, 32, 77, 148, 251, 392?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*l**2 - 6*l**2 + 19*l**2)*(0*l**3 - 2*l**3 + 0*l**3 + (-2*l**2 - 2*l**2 + 0*l**2)*(l - 2*l + 2*l)).\nAnswer: -24*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2092*m**2 + 4*m - 121 wrt m.\nAnswer: -4184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42807 - -2.\nAnswer: -42805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4477350 by 25.\nAnswer: 179094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 2\/5, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -45. Find the second derivative of -12*h**b + 23*h**5 + 5*h + 6*h**5 + 14*h wrt h.\nAnswer: 340*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 - 33. Calculate the remainder when g is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*s - 55*s + 12628 = 47*s - 23*s for s.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1\/8 (b) 3\/29 (c) -3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**4 - 3820 + 3820 + 0*v**2 + 0*v**2 + 2*v**4 + (-6*v + 4*v + v)*(-v**3 + v**3 - v**3).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 17*p + 9. Let h be z(-16). Let d be (-6)\/21 - 93\/h. Let m = 18 - d. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 995*h + 761*h**2 - 186*h + 237*h + 93*h wrt h?\nAnswer: 1522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (-77)\/(-2)) + (-3)\/6. Let r = 45 + d. Let -4*k**2 - r*k**3 - 2*k**3 + 6*k**3 + 3*k = 0. Calculate k.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02 + -2.98. Let l = 8.1 - 12.1. Let q = i - l. Which is greater: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.21 - -0.26. Let z = -11.8 - -17.65. Let d = z - 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: Determine v, given that -117*v**5 + 498*v**4\/5 + 678*v**3\/5 - 504*v**2\/5 - 93*v\/5 + 6\/5 = 0.\nAnswer: -1, -1\/5, 2\/39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27494186?\nAnswer: 2, 2957, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t + 21 = 5*w, -24 = t - 5*w. Suppose 0 = 5*s - 2*u - 66, -t - 2 = s + 5*u. Let m = -21 - -21. Solve m*b + s = -3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84156524 to the power of 1\/2, to the nearest integer?\nAnswer: 9174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from ffffzfzffffff.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/4 - (-6 + (-33)\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = g - 3*g. Let r = 13 + -11. Let l be r\/(-4) - 66\/(-4). Calculate the highest common divisor of g and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + -4. Let s = -34.98288 - j. Let c = -0.016 + s. What is c rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 e, and 2 t when four letters picked without replacement from izetz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 11. Which is the closest to 1\/3? (a) 1 (b) s (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2827.\nAnswer: 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 42 = -3*f + 5*p, 5*f = p + 51 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 9 = -3, -l = 5*c - 777. Suppose -7*i + 2*i = -25. Suppose i*f - c = -0*f. List the prime factors of f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y = 100. Suppose -5*j - 13 = 2*r + 12, 3*j = 5*r - 15. Solve 0 = 5*p + 3*x - 40, -3*p - 4*x + 2*x + y = r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -473.49261845712 + 0.49264102712. Let w = k + 473. What is w rounded to 6 decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**5\/30 + 13*q**4\/8 + 3*q**3 + 28*q**2. Let l be c(-20). Suppose -l*n + 42*n - 352 = 0. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8857253 to 4 dps.\nAnswer: -0.8857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljfjjffflfjfjjllllf. What is prob of picking 2 l and 1 f?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3830, 3, -1, 91 in increasing order.\nAnswer: -3830, -1, 3, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/8 - (-21)\/(-12))*0. Let x = g + 5. Suppose 3*i - 27 = 3*q, -x*q - 13 = -3*i + 6*i. Sort -2, -3, q, 4 in decreasing order.\nAnswer: 4, -2, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d + d)*(-5*d + 2*d - 7*d).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -270 in -5, -67, 2, -1\/3, 0?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 226998 > 3\/94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9930293 take away 276?\nAnswer: -9930569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.080796985 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3472 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -3, -5, -7, 28 in decreasing order.\nAnswer: 28, 5, -1, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 4:18 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36705?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -113?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-2) + 0 + -3. Suppose -4 = -20*i + 19*i. Suppose 0 = -r + 3*u - 2*u - 4, 5*r = -u + i. Solve r = -2*c - 9 - y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 784 and 896.\nAnswer: 6272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*i = 5*x - 78, 4*x + 2*i = 106. Calculate the greatest common divisor of x and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m = 3*y - 17, 5*m = 5*y + 5. Suppose -5*n = r - 124, 5*n - 135 = -5*r + m. Which is bigger: 0.2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -220, 2\/11, 3, -3, -3\/17 in decreasing order.\nAnswer: 3, 2\/11, -3\/17, -3, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 0 - 4\/45*h**6 - 41*h**2 + 0*h + 16\/15*h**5 + 256\/9*h**3 - 64\/9*h**4 + 1\/315*h**7. Factor r(y).\nAnswer: 2*(y - 4)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*y, -3*y - 17 = 4*b - 2. Let c be b\/(-3)*3\/(-12). What is the third smallest value in c, 1\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1, 0.2, 11, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2188*j = 833*j + 74525 for j.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -9.1?\nAnswer: -36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 108 - 42. Suppose 10 = 4*d - 30. What is the lowest common multiple of d and o?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 15 = 0, 51*z = -j + 54*z - 14 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/(-36)*18\/(-30)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55403239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 19*z - 12 = 0. Suppose -34 = -z*y + 182. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/99*22*17*(-30)\/10.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101121011 + -10?\nAnswer: 101121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/6 + (-2)\/(-4). Let j be (-2)\/40 - (-1)\/(-5). Let b be (-4)\/(-6) + 40\/(-42). What is the nearest to b in 2, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232124481, 464248961, 696373441, 928497921, 1160622401?\nAnswer: 1392746881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*p - 850 = -1294. Solve 28*z + 192 = p*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 187*f**4*r - f**2*r**3 + 3*r**3 - 42 wrt f?\nAnswer: 748*f**3*r - 2*f*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + (3*sqrt(1600) - sqrt(1600)))\/sqrt(8).\nAnswer: 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 32579 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-136)\/20*(-7)\/(-8) and 63\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -6, 0.3, 4\/3 in descending order.\nAnswer: 5, 4\/3, 1, 0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 6 + 3 + -6. Differentiate 2*r**2 - 31*r**h + 7 + 26*r**3 - 2*r**2 wrt r.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -14.4. Suppose 4*a - 13 = 19. Let r be 312\/(-448) - a\/(-14). What is the closest to 2\/7 in 4, r, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 3. Suppose 2*o + 25 = 5*q - o, -5*q = 2*o - f. Suppose q*z - x - 83 = 0, -4*x = -4*z + 6 + 54. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2606 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2955 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 4*q**2 + 5*q + 6. Let x be u(-5). Let b(v) = -v**2 + 8*v - 4. Let t be b(x). Solve -2 + t = 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1239 and 73\/210.\nAnswer: 12390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5624.064l?\nAnswer: 5624064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/17, 3, -5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-3))\/((-660)\/594))\/(-2*4\/60).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**2. Let n(s) = -s**2 - 714. What is n(z(i))?\nAnswer: -25*i**4 - 714","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.25 times 2.2?\nAnswer: -4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyu when three letters picked without replacement from uikfkiikfyiix?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 23. Let h be j(9). Let z = h - 20. What are the prime factors of -1 - -3 - 660\/z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = -3*h + 9, -26 = -4*h + 2*q. Let n be ((-2)\/3)\/(h\/(-15)). Let y = 2 + -4. Put n, 1\/5, y in ascending order.\nAnswer: y, 1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*m + 3*m + 3, m = 5*d - 11. Solve -2*l = 1 + 5, 0 = -4*n + 3*l - d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/((-408)\/(-32))*2\/16.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 17, 1, 85, -1\/3, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 55*j**3 - 168*j**2 + 5*j. Let t(h) = -h**4 - 55*h**3 + 181*h**2 - 5*h. Let i(d) = 10*r(d) + 9*t(d). Let i(b) = 0. Calculate b.\nAnswer: 0, 1\/9, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 846 and 163419?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 31*o - 57. Calculate the smallest common multiple of 27 and t(2).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*v - 104*v + 3*h - 8 = 0, 3*v + 25 = -2*h for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0 = 24. Let y(l) = 3*l + 5. Let g(f) = 7*f + 10. Let a(u) = 2*g(u) - 5*y(u). Let w be a(i). Which is smaller: 2\/3 or w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35c + 1cb25?\nAnswer: 1c7a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 17*k + 49. Let c(a) = 2*a**2 + 5*a - 5. What is the remainder when c(-5) is divided by d(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 3. Let u(g) = -2*g - 6. Let k(f) = -13*o(f) + 6*u(f). Let s(j) = 3*j. Let p be s(1). Let m = 6 - p. Calculate k(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10762.40573 rounded to the nearest 10?\nAnswer: -10760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**4\/6 - t**3\/2 + 2*t. Let k be n(-2). Is -1 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-155)\/(-465)*(-12)\/82).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1318\/13 + 17248\/195. Let l = b - -40\/3. Factor -4\/5*c**4 - 2\/5*c**5 + 0 + 0*c + 0*c**2 - l*c**3.\nAnswer: -2*c**3*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*a - 42*a**4 - 35*a + (4*a - 6*a - 6*a)*(2 - a**3 - 2).\nAnswer: -34*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 2 + -1 + 3)**2 + 5*((-1 + sqrt(605))**2 + -3).\nAnswer: -14*sqrt(5) + 3751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 88*k - 7. Let a = -428 + 429. Calculate the smallest common multiple of 72 and m(a).\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (3 - (10 - 10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 9:43 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 4*d - 12, -4*a - 2*d = -5 - 13. Let l(g) = -11*g + 13*g - 11*g - a*g. Let c(f) be the third derivative of -f**5\/30 - 2*f**2. What is l(c(m))?\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 3070)*(1 + -3). Suppose 0 = 21*z - 23*z + c. Let v = z - 2009. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 191296704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/2 - (-2)\/(-4). Let m(d) = 14 - d**2 + 0*d - 27 + 3*d - 7 - 7 + 32. Give m(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554 = 5*v + 174. Suppose -225*n = -232*n + 280. What is the remainder when v is divided by n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.11 - -22. Let z = q - -0.01. Let y = z + -0.1. Which is the closest to -1? (a) y (b) 5 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158640 (base 15) to base 12.\nAnswer: 422466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36\/463 - 4239\/926. What is the nearest to 1\/4 in p, 1\/3, -3\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 - 3*o**4 + 0*o**4 + (o - 3*o + 0*o)*(-3*o**3 + 2*o**3 + 3*o**3) + 5*o**4 + 9*o**4 + 12*o**4 - 2*o**4 + 4*o**4 - o**4.\nAnswer: 19*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -2. Suppose 0*c + f*c = 9. Suppose -1 = -m + c. Solve 3*h - 5 = m*y, 0*h + 20 = h - 5*y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + z + 0*z)*(z + 3*z - z)*(75 - 100 + 47 + (-2 + 5 - 1)*(0 - 2 + 4)) to the form i*z + t + h*z**2 and give h.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (164\/(-369))\/(-2*1\/(-3))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033763 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11486383?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -178188395.952 take away 2.3?\nAnswer: -178188398.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 1528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1494838 is divided by 1494745?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-2))\/(2\/4). Solve -v*d = -d + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 44*l + 32. Suppose -10 = 5*n + 5. Let s = 724 - 756. Let b(k) = -4*k - 3. Determine n*r(y) + s*b(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*b + 19, -b + 8*w - 3*w = -24. Let v = 72815413\/430 + -169338. Let d = -3\/43 + v. Is b smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-12)*12\/1. Suppose 34 + h = 5*z. Suppose z + 15 = 5*n. Solve s = -n*x + 5*s - 11, s - 4 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.04671 millimeters in kilometers?\nAnswer: 0.00001504671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32612435 is divided by 2744?\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 6504 (c) -0.5 (d) 0.03802\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/2*56\/42. Let g(m) = -m**2 - 8*m - 8. Determine g(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -1. Let o(d) = -4*d + 11. Let v(s) = -o(s) - u(s). Let z(g) be the second derivative of g**3\/3 - 20712*g. Calculate v(z(j)).\nAnswer: 8*j - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 5*h - 50, 2*n + 2*n + 2*h = 56. What is the third derivative of n*i**3 - 7*i**2 - 4*i**2 + 10*i**2 wrt i?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.74293 meters to millimeters.\nAnswer: 2742.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)*u)**(13\/3)*u*(u**4*u)\/u*u**(-5) assuming u is positive.\nAnswer: u**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-1001)\/(-14)))\/((-7744)\/(-832)).\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -199*b**2 - 6. Let m(v) be the second derivative of -v**4\/6 + 24*v - 106. Give m(s(i)).\nAnswer: -79202*i**4 - 4776*i**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-90)*(-185)\/(-74).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -26. Suppose -4*b - 248 = -f*p, 2*p - 3*b + 114 = 3*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*sqrt(3) + 4*sqrt(3)*-5 - (-1*sqrt(75)*-6 + -4))**2.\nAnswer: -828*sqrt(3) + 6429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405962374 a multiple of 6545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 2. Suppose 5*c = k*c. Suppose -22 = -2*b + 5*v + 26, c = 5*b + v - 66. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - (-1 + sqrt(1573) + -1))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 4522 + 12282. Let t = g + -579. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. Factor 4\/7*h**5 + 10\/7*h**4 + 6\/7*h**3 - 2\/7*h**t - 2\/7*h + 0.\nAnswer: 2*h*(h + 1)**3*(2*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -381.9 to the nearest ten.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 439363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -249 - -244. Which is the nearest to -0.2? (a) w (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1427560 greater than -429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 0*f**4 + 0*f**5 + 0*f - 4*f**2 + 0 + 1\/120*f**6 - 1\/6*f**3. What is the derivative of l(k) wrt k?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o**3 - 3*o**3 - 4*o**3)*(0 + 3 - 4)*(3*o + 0*o - 4*o).\nAnswer: -14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/1140 and 59\/684?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 292982 or 0?\nAnswer: 292982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11221016 is divided by 5610504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3762274124\/405 + -92068053\/10. Let z = 82760 - s. What is the common denominator of (-22)\/(-6) - (-2)\/(-8) and z?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/45*(-4 - (-74)\/16). Which is the third smallest value? (a) -3\/7 (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165332*j + 165332*j + 51*j**2.\nAnswer: 51*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.42649mm?\nAnswer: 8426490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246404326?\nAnswer: 2, 7, 653, 26953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91606 and 3372?\nAnswer: 549636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (1 + -1)) + 17. Let b be (2 + 7)\/(l\/12). Suppose b = 4*c - 2. Solve c*t + 3*t = 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 629 - 156. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppppwppptp. Give prob of sequence pwt.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27403117 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 46. Let t be 12\/j - 63\/(-15). Suppose -r + t*q + 141 = 0, -121 = -r + 4*q - 3*q. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 9*f - 2. Suppose -2*c - i = 14, 4 = -3*c + 4*i - 28. What is the common denominator of n(-2) and (-27 + 1)*(-7)\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397*x + 0 + 412*x + 0.\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x\/x**(-5\/4))\/x)\/x)\/x**(-2))\/(x*x**(3\/4)*(x**(1\/3)*x)\/x) assuming x is positive.\nAnswer: x**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 155 - 152. Solve -t = -5*r + 18, 3*r + o*t = -0*t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 0 = 17 - 65 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 + -47. Suppose -4*s + 3*m = -19, 3*s + c = 2*m + 21. Which is greater: s or 1\/122?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3676, 3670, 3662, 3652?\nAnswer: 3640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33349065 divided by 39939.\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*r - 5*r + 7*r + (-18 + 19 + 21)*(r + 2 - 2*r + 1) as n*r + y and give y.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -7782?\nAnswer: 7781.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 5 + 3)*(-2*v + 2*v - v) - 4*v + 4*v + 2*v + (-5*v + 3*v + 0*v)*(1 - 2 + 3) + (0*v + 4*v - 3*v)*(-1 + 2 - 2) to y*v + a and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 2512*z**2 + 778624*z + 6390784.\nAnswer: 2*(z - 632)**2*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/1 + (-96)\/12. Are v and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2. Let q(f) = 24843*f**2 + 2. What is q(o(i))?\nAnswer: 24843*i**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 687 = -0*v - 663, 17 = 9*r + v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 83 (b) -0.2 (c) -4\/7 (d) -3 (e) -14\/69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5337472 and 363377.\nAnswer: 5957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a**4 - 12*a**4 + 100*a**4)*(-3 + 8 + 8)*(-3 + 0 + 1) in the form m*a**2 + p*a**4 + f*a + w*a**3 + j and give p.\nAnswer: -2366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -124, -256, -388, -520, -652?\n\"Answer: -132*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1 = 5. Let y be (x\/(-6))\/(5\/(-90)). Sort y, 0, 4.\nAnswer: 0, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 188 + 106 + 121. Let m be j(-6). What is the greatest common divisor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2306338 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 - 204*p**2 + 67758*p - 486. What is f(-242)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 169451588 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**2 + l**4 - l + 3*l**2 - 2*l - 3*l**4 - 8*l**2 - l**3 to i*l + q*l**2 + r*l**3 + n + p*l**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 58978216 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 37. Suppose p*s - 6 = -4*s. Let z be ((-2)\/2)\/(9\/(-3)). Does z = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (1\/(-2)*-2)\/(5\/1050)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -25 (b) 8\/11 (c) -99 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**3*f + 5885330*c**3 + 2278*c**2*f + c**2 + 1394*f + 1 wrt c.\nAnswer: -12*f + 35311980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32604?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -501, -565, -629, -693, -757, -821?\n\"Answer: -64*y - 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/220*(-4)\/(-6). Let h(w) be the third derivative of 0*w + y*w**5 - 1\/105*w**7 + 0*w**4 + 0*w**6 + 0 + 3*w**2 + 0*w**3. Solve h(v) = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0*d - 5*d)*(273 - 842 + 293 + 52390*d + 276).\nAnswer: -104780*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 91? (a) -10\/11 (b) -1\/2 (c) 8 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 175 - 25. Suppose 0 = -s + 2*s - f. Suppose 3*j + 4*x = -0*j + s, 0 = -5*j + 4*x + 218. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1 (c) 0.1 (d) -0.57 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*a = 814 + 148 - 129 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (105\/25 - 4) + (-284)\/(-5). Let h = -60 - -66. What is the highest common factor of h and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12401585.9 to the nearest ten thousand.\nAnswer: -12400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-993 + 1596*t**2 + 993)*(5 + 6 - 6).\nAnswer: 7980*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 5. Let u(h) = -h. Let l(o) = b(o) + 2*u(o). Let q be l(-6). Let z(d) = -d**3 - d**2 + 2*d - 1. Determine z(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 + 127. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -605*j**8\/336 + j**4\/2 - j**3 + 218*j**2. Find the second derivative of t(n) wrt n.\nAnswer: -12100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/11, -5, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847*y - 27220 = 1524*y - 3510 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-51)*(-3)\/7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 55 = -2*s - 0*s, 8*o + 3*o - 5*s = 12*o - 118 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1398430 = -108*g + 97*g. What is g rounded to the nearest one thousand?\nAnswer: 127000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1598 - 1594. Solve v*b + 3*g = 9, 0 = 2*b - 3*g + 7*g - 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489128327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 912868?\nAnswer: 5477208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 8. Let d be y(6). Let x be 4 + d*-3 + 6. Find the third derivative of -32*t**x - 3*t**2 + 14*t**5 + 32*t**4 wrt t.\nAnswer: 840*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -18*w**3 - 18*w**2 + 6*w - 1. Let d(m) = -19*m**3 - 18*m**2 + 5*m - 1. Let p(f) = -5*c(f) + 6*d(f). Find the third derivative of p(k) wrt k.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, v: 6, k: 2, u: 3}. Give prob of sequence vkka.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -0*m + 4*m - 24, -2*w - 12 = -4*m. Let z(i) = -2*i + m*i - 3*i - i. Let r(g) = -4*g**2. Determine z(r(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2\/(-8))\/((-27)\/324*3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m - 19. Calculate n(6).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 9:09 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 218829 by -3.\nAnswer: -72943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 w, and 1 l when three letters picked without replacement from {t: 5, l: 3, w: 7, f: 4}?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 4*h**3 + 3*h**3 - h**3 + (-2*h**2 + 3*h**2 + h**2)*(2 - 2 - 2*h) as w*h**3 + d*h**2 + b + o*h and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x - 12. Let i be (12 - 15) + -1 + 7. Let n be q(i). Let t be (-60)\/(-14) + n\/(-21). Solve t*k + 4 = -8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*a - 2607, 12*a = 5*l + 15*a - 4379. Which is smaller: l or 873?\nAnswer: 873","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**10\/529200 - n**9\/26460 + n**8\/4410 - 7*n**5\/15 + 10*n**2 + 4*n. Let g(h) be the third derivative of s(h). Factor g(p).\nAnswer: 2*p**2*(p - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2618447*x. Let p(m) = -m. Determine p(u(r)).\nAnswer: 2618447*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(320) + (sqrt(320) + -6*sqrt(320))**2 + -2 + 2*(sqrt(125) - (4*sqrt(125) + -4 + sqrt(125))**2).\nAnswer: 418*sqrt(5) + 1716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01305 - -0.03694. Round k to four dps.\nAnswer: 0.0239","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14774*w**2 + 44318*w\/3 - 4\/3.\nAnswer: 2*(w + 1)*(22161*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 2*b + 1. Suppose -4*j = -16, 3*j - 6 = 4*x - x. Let w(p) = 3*p - 14 - 2*p - x*p. Let f be w(-12). What is r(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 832 - 399. List the prime factors of w.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7081 and 37908389?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 463578206 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 50 (c) 0 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - (-732)\/84) + 1 + -5. Which is the nearest to l? (a) 1 (b) -2\/123 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37717, -37702, -37699, -37714, -37753?\nAnswer: -37822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -14) + 12 - -8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58.5 - -40. Let c = t - -19. Let s = -5.3 + 5. Which is greater: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19798043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*j - 57103 = 20009. List the prime factors of j.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -0.4 (c) 27\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9484192037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 17 + 5 = 0. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*b - 118*b + 724 - 2092 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 t when three letters picked without replacement from {s: 1, z: 9, g: 5, t: 2, c: 1}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13443336 or 53773341\/4?\nAnswer: 53773341\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/(78\/(-24))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - 32)*(-2)\/(-12)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-5)*(-12 - (-12 - (-45)\/18)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 - 54. Let x be 38\/v + 2\/7. Solve g = x*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 6*l + 4. Suppose 0 = 4*p - 0*p + g - 15, 0 = -3*p + g + 13. Let n be z(p). Let v(y) = 2*y + 6. Give v(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 6408465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -28. Solve v = 2*v - y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137074 by 1.\nAnswer: 137074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/21 - (-26)\/7. Let x = 5 + -2. Which is bigger: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45966*m**3 - 94294*m**3 + 38864*m**3.\nAnswer: -9464*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.007728 and -0.05077498.\nAnswer: -0.05850298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 53*w + 1769. Calculate q(-35).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/397 (b) -108 (c) 3 (d) 0.5 (e) 3\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 + (36 - 77))\/((-2)\/((-32)\/60))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146289 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 5*p + 10 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 1, 3, -0.076, -0.5?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2115 - -2119. Solve -v = 13*t - 12*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, n: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1653\/5890 - (-1)\/(-5). Let a = -631\/248 - y. Find the common denominator of a and 43\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (6*2*sqrt(1700) - (sqrt(1700)*1 + 1))*3)**2*-6.\nAnswer: -11107824 - 7920*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 45c8?\nAnswer: 45c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 239\/(-2151)*(-1)\/(-2)*12*(-234)\/(-24)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 38370.\nAnswer: 422070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38232 divided by -1062?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 12 = -2*f + 3*f, -4*f + p = 4. Suppose u = -7*h + 4*h, f = -3*u + h + 10. Which is the second smallest value? (a) -0.45 (b) u (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 16, -0.3.\nAnswer: -0.3, 16, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 5:42 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/1000 and -24\/3625?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 875 and 469.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 15. Let w be p(-12). Suppose -6*i + w*i - 34 = -u, 0 = 2*u + 2*i - 84. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/24*(45 + -49).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 32*b**2 + 2*b + 3. Let r be k(-2). Suppose 3*s + 80 = -r. Let m = 40 - s. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -7. Let w be (-4)\/m + (-15)\/(-28). Let v = -14.5 - -14. What is the closest to w in 4\/3, 2\/3, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36880 times 53?\nAnswer: 1954640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2887 or -2885?\nAnswer: -2885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 20*c**2 + 10*c + 7. Let z(m) = -7*m**2 - 3*m - 2. Let o(b) = -6*j(b) - 17*z(b). Suppose -147 = 6*i + 15*i. Give o(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 78*i**2 - 54*i + 293. What is the hundreds digit of x(42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 34553312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*b - 366*b + 180*b + 38*b**2.\nAnswer: 38*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**5 - 104*v**4 - 268*v**3 + 232*v**2 + 1136*v + 736 = 0?\nAnswer: -23, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 10*s**2 - 29*s - 44. Determine i(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p**2 + 6915*p - 3459 = 0. What is p?\nAnswer: -1153, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 4*p - 6, 4*p - 3*i + 2 = -0*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1661, -5\/6, -17\/4.\nAnswer: -1661, -17\/4, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -874 - -2145. Calculate the highest common factor of h and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -317*s**2 - 45 + 13 + 32 in the form u + i*s**2 + t*s and give i.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 + 11*i**2 - 17*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*g**3*y + 342*c*g**2*y - 12164*c*g*y + 2*c*y + 17*g**3 - y wrt g.\nAnswer: -12*c*g*y + 684*c*y + 102*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-70)\/(35\/(-10) - -3). Calculate the highest common factor of v and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1092 and 34034?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11503324 is divided by 94?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 10*o. Let h(q) be the second derivative of -427*q**4\/4 + q**2 - 3306*q - 1. Calculate d(h(x)).\nAnswer: -12810*x**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*m - 2*a + 91, -24*m + 13*m + 12*m + 5*a = 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3, -5*g + 3*g = 5*s - 23434. Suppose -7*l + 2480 = -s. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and 0.15?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51968 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, 11.71, 1\/7, 4\/137, 0.5 in ascending order.\nAnswer: 4\/137, 1\/7, 0.5, 1, 8, 11.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, g: 5}. Give prob of picking 1 s and 2 g.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1883355 is divided by 294?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 145*r**2 - 41618*r + 412. What is y(289)?\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*d + 10*v - 14*v, 0 = -3*d - 5*v - 34 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3625 and 6060891250.\nAnswer: 3625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -16*w**3 + 14*w**2 - 12*w - 71. Let t be d(-12). What is t rounded to the nearest 100?\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 + 10 - 121 - 15)*(19*n + 176 - 176) to the form k + h*n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 12:43 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 4*m + 3. Let l be n(-4). Suppose 11*v - 11*v - 2*v**l - 2*v**2 = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 111*c**2 + 51*c - 3281. What is n(-110)?\nAnswer: 3209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -215894.3.\nAnswer: 1079471.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 - 1) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115026197?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 12:34 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 439107 to the power of 1\/2, to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-124 - (0 + 1))\/(3\/224640). What is h rounded to the nearest one hundred thousand?\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5005?\nAnswer: 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f - 495 = -2*p - 457, 5*f + 18 = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14367, -28616, -42743, -56748, -70631?\nAnswer: -84392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 809 - 820. Let c(q) = 5*q**2 - 13*q - 14. Let i(w) = -18*w**2 + 40*w + 43. Let k(u) = 7*c(u) + 2*i(u). Give k(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110111010010111000 - 10?\nAnswer: -1110111010010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.6 + -2.8. What is the nearest to -2\/3 in 3, -1\/6, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 17. Suppose -b - 1 = -n. What is the highest common divisor of n and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1207366330 to the nearest 100000.\nAnswer: -1207400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-14)\/(-21))\/(3\/(-1)*42\/(-1827))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**3 + 3*l**2 + 3*l + 5822. Let n(g) = 11*g**3 + 7*g**2 + 7*g + 11645. Determine -3*n(c) + 7*z(c).\nAnswer: 2*c**3 + 5819","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -5*s**5\/4 - 5*s**4\/4 - 2*s**3\/3 + 17*s**2\/2 + s + 2. Is b(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.562 + 0.562. Let b be (32\/24)\/((-4)\/6). Let t be 14\/4 - (-3)\/b. What is the nearest to 0.5 in t, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 6*i - 5. Let h be l(-5). Let o(g) = 2*g + 20. Let c be o(h). Factor 0*u - 2\/9*u**2 + c + 2\/9*u**3.\nAnswer: 2*u**2*(u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 179*s**2 + 631*s**2 - 6519*s**2 as j*s + w + h*s**2 and give h.\nAnswer: -5709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**10)**(-12)\/(m**(17\/2))**(-1\/17) assuming m is positive.\nAnswer: m**(-239\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51325013539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3200034 (base 5) to base 11\nAnswer: 36a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 18677?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 586092740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1482*l**4\/5 + 1486*l**3\/5 - 4*l**2\/5.\nAnswer: -2*l**2*(l - 1)*(741*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -f + 4*d, 6*d = f + d - 19. Suppose -4*y - 5*x + 1 = -1, 0 = f*y + 4*x - 4. Solve y - 6 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3639, 7300, 10993, 14724, 18499, 22324?\n\"Answer: n**3 + 10*n**2 + 3624*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u. Let m be b(0). Suppose 0 = z + 5*g - 27, m*g - 2*g = 4*z - 18. Solve -5*d + 7*d + z = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -100, 2, -1\/6?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(228) - sqrt(228))*5*3)\/(-4*(sqrt(1200) + (sqrt(1200) - -1*sqrt(1200)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -2)\/(2\/6). Calculate the remainder when 72 is divided by 1 + (-2 - (-23 - a)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 40 = r + p, 210 = 4*r - 2*p. Suppose 0 = 2*k - 4*k + 5*o + 61, k = -2*o + 35. Calculate the greatest common factor of r and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/((-408)\/(-16)) - 74\/3. Which is the nearest to j? (a) -1 (b) 2\/11 (c) -0.3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) -4 (c) -0.02 (d) -5 (e) -0.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(567)*-2 + -2)**2 + -4.\nAnswer: 72*sqrt(7) + 2272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - 0) + (-9 - (15 - 35)) + 10 + -95?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -31. Suppose 4*z = 473 + 363. What is the greatest common divisor of c and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1925 = 5*g, 2*g + 1521 = 6*g - 3*f. Let x = -384 + g. Solve -4*r - 4*r - 16 = x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(51)\/(sqrt(3) + sqrt(243)) - sqrt(17))*-5.\nAnswer: 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -4*l + 2*i - 1840, 2*i = 5*l - 2318. What is the first derivative of 146*c**2 - l*c**2 + 120 + 182*c**2 wrt c?\nAnswer: -268*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1914?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*z - 45, 3*z = -2*p + 73 - 22. Suppose -z = -n + t, -t - 2*t = 5*n - 95. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p. Let k(v) be the first derivative of 5*v**2 + 56. Calculate n(k(w)).\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 672 and 672.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**16)**(-1\/30)*((h\/(h**(-1\/9)*h))\/h*h)**(-15\/7) assuming h is positive.\nAnswer: h**(-169\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + c = -180, -4*m - 4*c + 190 = -2*m. Let a = -38 + m. Let g = -54 + a. Which is smaller: -4\/3 or g?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g - 2*g**4 + 3*g - 2*g**3 + 2*g + g - 2*g**2 to r*g**4 + k*g**3 + m*g + c + o*g**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227908?\nAnswer: 2, 227, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1095 divide 238684074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 25*q + 1152. Let p be y(79). Sort p, 2, -2\/13 in descending order.\nAnswer: p, 2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**2 - 20*b - 249. What is the smallest common multiple of 283 and f(-5)?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/11)\/(2 + 39\/(-18)). What is the second smallest value in -3, c, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(144)\/sqrt(192)) + (sqrt(175)*-2 + sqrt(175))*3)**2*-6.\nAnswer: -5082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43225 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001586899 to six dps.\nAnswer: 0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1094.9, -82, -0.01 in descending order.\nAnswer: -0.01, -82, -1094.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l - 2*l = 144 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((4*sqrt(272) + 0)**2 - (sqrt(272) + sqrt(272) + -1 + sqrt(272) + 5))*2.\nAnswer: -24*sqrt(17) + 8701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 9*u - 38 = 0. Let n = u - -118. Calculate the remainder when n is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*a - 4*a**2 - 30*a + 16*a to the form f + u*a**2 + w*a and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 12. Let v be n(0). Are -11 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 11:50 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -965 bigger than -965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 4*a**2 + 22*a + 25. Let x be v(-8). Let k = -182 + x. Let z = 77 + k. Solve -f - j - 2 = z, 2*j - 1 + 0 = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {s: 2, i: 1, z: 2, n: 1, e: 5, f: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 319, -6, -4, -1, 4, -152 in ascending order.\nAnswer: -152, -6, -4, -1, 3, 4, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/5? (a) 1\/4 (b) -1 (c) -5704\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6618 + 6611. Let c = -191\/24 + 25\/3. Let f = 0.1 - 1.1. Put c, f, o in increasing order.\nAnswer: o, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from vhvvyhyhvyhvyvyvny.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 9*r**2 - 2*r - 5. Calculate the remainder when 21 is divided by b(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2183 to two decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 5 + (1 - 2) + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 569 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000435492 to 6 decimal places.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5476585 to the power of 1\/2, to the nearest integer?\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114580250 divided by -4583210.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -214, -12256 in ascending order.\nAnswer: -12256, -214, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3680 + 0.8133937514.\nAnswer: -3679.1866062486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 366 and 221807468.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 778050156 a multiple of 1287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/7, 0, -3\/7, 1\/12, 0.2 in descending order.\nAnswer: 0.3, 0.2, 1\/12, 0, -2\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9456619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3663 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 136*q**2. Let m(n) = -4*n - 3. Let t(w) = 11*w + 8. Let g(j) = 8*m(j) + 3*t(j). Calculate i(g(z)).\nAnswer: 136*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1*sqrt(128))**2 + 3)*-5 + 5*(0 + sqrt(128) + sqrt(128) + -1)**2*-1.\nAnswer: -3216 + 160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 167 = 5*d. Suppose -43 - d = -3*p. Suppose -z - p = -6*z. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 258*j - 260*j - 1, -4*j = -g - j - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 40. Solve 2*n + t = 6*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7681 = 14*p - 30277. List the prime factors of (-6)\/48*6 + p\/8.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501298157 is divided by 62.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 6:34 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 330591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*i**4*q + 4*i**3*q + 3*i*q - 84*q wrt i?\nAnswer: -28*i**3*q + 12*i**2*q + 3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2567*p - 3. Let t be w(11). Let h be t\/(-72) + 4\/(-18). Suppose h = 8*a - a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*h - 470 = -378*h. Let u = 5.6 - 6. Put u, -11\/4, -1\/10, h in decreasing order.\nAnswer: h, -1\/10, u, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*d + 35*d - 6*d + 3*d - 4*d + 2*d - 2*d + 4*d - d + 0*d - 3*d + 2*d - d + 2*d - 3*d + (2*d - d + d)*(-1 - 2 + 2) + 4 + d - 4 - 2*d - 2*d + 3*d.\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16640470689 and -1.6.\nAnswer: -16640470690.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121132 - 277.\nAnswer: -121409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/6 (b) 0.2 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 752519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/200409955 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpukkbkkpcbpcbpfcc. Give prob of sequence bb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-9 - (3 - 0 - 6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 66696*n**2*w + 45252759*n**2 + 1289*n*w**3 wrt w.\nAnswer: 66696*n**2 + 3867*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -15*i + 322. Give f(19).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 2\/3, -0.01 in descending order.\nAnswer: 3, 2\/3, -0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g**2 - g + 3. Let m(k) = 25*k**2 - 3*k + 10. Let d(v) = -17*h(v) + 6*m(v). Let s(p) = -2*p**2 - p + 8. What is 6*d(o) - 7*s(o)?\nAnswer: -4*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 763829048*g**3 - 4*g**2 + 44382315*g - 1 wrt g.\nAnswer: 4582974288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-3*(-4)\/6. Let u be q + (6\/(-3) - -3). Let n = 37 - u. What is the remainder when n is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y + 9. Let g be s(-6). Suppose -49 = -4*k + b, -b - 2 + 30 = 3*k. Let d = -23\/2 + k. Which is smaller: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6138)\/132 - -68)*(-2 + 0)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*q + 14. Solve 0*h + 15 = -q*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562706 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -39*i**2 + 8*i + 317. Let d(u) = -15*u**2 + 3*u + 158. What is 5*d(h) - 2*v(h)?\nAnswer: 3*h**2 - h + 156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l - 5. Let h be (-10)\/5*(-28)\/(-4). Let x be 10\/(-6)*(h + 11). Give z(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4627 - -4361. Suppose -529*w + g = -515*w. What are the prime factors of w?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3801 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2887*s**4 - 309*s - 1014*s**4 - 24*s**3 + 405*s**2 - 991*s**4 + 66 - 1038*s**4 = 0.\nAnswer: -2, 1\/2, 11\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 973 + t + 537 + 251.\nAnswer: t + 1778","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (0 + 9) - (3 + 75 + -109)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n. Suppose 2*t = b + 1176, 0 = -3*t - b + 335 + 1439. Let u(c) = 22*c**2 - 296*c + t*c - 294*c. Give f(u(r)).\nAnswer: 88*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 858 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 - -104?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 + -54. Solve z = 5*v - 7 + 32 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c. Let b(i) = -i**2 + 3*i. Let u(w) = -2*b(w) - 6*y(w). Let m(p) be the third derivative of 19*p**5\/60 + 19*p**2. Calculate m(u(l)).\nAnswer: 76*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*-0.7744\nAnswer: 0.061952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -2\/9, -15, 23, 1\/22, 6 in descending order.\nAnswer: 23, 6, 1\/22, 0.04, -2\/9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 1777128.\nAnswer: 12439896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349788 is divided by 116579?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 7 - 2. Find the second derivative of y - 4*y**j - 9014*y**4 - y**3 + 9014*y**4 - 6 wrt y.\nAnswer: -80*y**3 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -132*w**4 + 32*w**3 - 2 - 137*w**4 + 271*w**4 + 0*w**4 - 5*w**4 + 3*w**4 + 4 + 2*w**4 - 4 + (w - 4*w + 4*w)*(3*w**3 - 2*w**3 - 2*w**3).\nAnswer: w**4 + 32*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/2 + (-81)\/(-18). Let t = -18 - -25. Let k be (-4)\/(-14) - 5\/t. Which is the third smallest value? (a) o (b) 0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.147 - 0.13. What is t rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 0, -2\/13, -29\/4, 0.3, 2\/105, 4\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*v - 10*v + 22*v)*(0*v - 4*v + 2*v).\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q*q**(-2\/7)*q)\/q)**(-1\/8))**5)**(-26))**(-4\/23) assuming q is positive.\nAnswer: q**(-325\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26806203 by 17.\nAnswer: -26806203\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*b + 20 + 13, 3*b = -3. Let n = q - -12. Solve -9 = -3*k - n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 2 = 8*r. Let u = 1 + r. Let w be (11\/22)\/(u\/4). Put 2, w, -3 in ascending order.\nAnswer: -3, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/25)*q*q*q**(-9) assuming q is positive.\nAnswer: q**(-178\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 247656 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18707269 and 25?\nAnswer: 467681725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2832)\/32)\/((-4)\/(80\/30)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-125*b - 158*b + 112*b)*(2*b - 3*b + 3*b) to the form z*b + l*b**2 + n and give l.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 12. Let m be k(-6). Which is the nearest to m? (a) -0.5 (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1. Let v(u) = -u - 1. Let w(c) = -s(c) - v(c). Let m = -57 - -62. Let q be w(m). Solve -10 = -0*l + 2*l + 2*n, -q*l - 3*n - 23 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470*w + 464*w + 5508 = 0. What is the highest common factor of 108 and w?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-612)\/92 - (-7 + 232)\/(-25). Sort -4, p, 1\/4, -0.5 in increasing order.\nAnswer: -4, -0.5, 1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.41822 - -173938917?\nAnswer: 173938934.41822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 8:31 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from qxxxxggxxgxxqxxx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t. Let y(p) be the second derivative of -5*p**4\/6 - 7*p**3\/3 + 2022*p. What is y(f(n))?\nAnswer: -90*n**2 + 42*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -19?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-3)*(-234)\/91.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72337836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.44966t?\nAnswer: 7449660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17547707 = 7*t - 7792293. What is t rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 20, 1, 16, -1, 0.54?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 25*v**2 + 53*v - 41. Calculate b(-27).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/12 (b) -1\/3 (c) -5 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/4 (b) -5 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 11*s**2 - 2*s - 2. Determine q(2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/6 and -65\/3084.\nAnswer: 3084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13936 is divided by 87?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 1:11 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78343864 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166109855.\nAnswer: 5, 2207, 15053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 - 19*w**2 + 10*w - 4. Determine f(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*w - 62*w + 7*w)*(-4*w**2 + 17 + 2*w - 11*w**2 + 16*w**2) to s*w**2 + o*w**3 + i + j*w and give j.\nAnswer: -629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 8 = -6. Let s(p) = -877*p**3 + 5*p**2 + 2*p - 1. Let w be s(1). Let f = 877 + w. Calculate the least common multiple of f and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2272*j + 4547*j - 6*j**3 - 2275*j.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 7. Suppose -3*p + 12 + 3 = 0. Let w be q(p). Suppose -w*g = g - 72. What is the greatest common divisor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*0.5603.\nAnswer: 5.0427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -544b (base 15) in base 16?\nAnswer: -45b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.30117?\nAnswer: 0.060234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 78177, 78181, 78187, 78195, 78205?\n\"Answer: x**2 + x + 78175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 6:58 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**2 - 5*z**2 + 4*z**2 + (-4*z + 5*z - 3*z)*(15 - 15 + 16*z).\nAnswer: -29*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1310949, 2622327, 3933705, 5245083, 6556461, 7867839?\n\"Answer: 1311378*d - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 155*t + 188*t - 349*t + 12. Let s be 2\/(-4)*2\/8. Which is the third smallest value? (a) -2\/3 (b) t (c) -3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*j + 1424*j**3 - 11*j - 106*j**2 + 124*j**2 + 37*j + 923*j**3 wrt j?\nAnswer: 14082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 3*z + 20 = 0. Put z, -4, 0 in decreasing order.\nAnswer: z, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.4, -2, 3\/2, 0, -21048.\nAnswer: -21048, -2, -0.2, 0, 0.4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27478464383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okho when four letters picked without replacement from {o: 2, j: 1, k: 1, h: 2, f: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 13. Let c(j) = j**2 - 6*j**2 + 4*j**2 - 10*j. Let i be c(a). What is the greatest common divisor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1465?\nAnswer: 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -151 - -5a?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y = -5*n + 20, -6 = -y - n. Sort 2, y, 0, -1.\nAnswer: -1, 0, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 + -71.06. Let n = -9.06 - -9. Let r = n - h. Sort -2\/9, 3, r in decreasing order.\nAnswer: 3, r, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 2*a**2 + a + 2. Let l be s(-2). Solve -2*h + 4 = -l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g. What is the first derivative of 3 + g*u + u + 0 + 1 wrt u?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + -46.1. Let h be 1\/3 + 175\/15. Let d = 0.4 - -0.1. What is the closest to a in -1, h, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 23*j**2 - 1101*j - 24. Let g(q) = -37*q**2 + 1762*q + 38. Determine -12*g(n) - 19*s(n).\nAnswer: 7*n**2 - 225*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a factor of 5436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/15 and 119\/5480.\nAnswer: 16440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**4 + 0*v**4 + 6*v**4)*(-6 + 26 + 15)*(62 - 12 - 16)*(-v - 4*v + v).\nAnswer: -4760*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 3 + 0 + -1. Suppose -3*c = -5*d - 20, 4*d = -a*d + 3*c - 19. Is 15 a factor of 50*(d - (-9)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 71599, 143153, 214611, 285925, 357047, 427929, 498523?\n\"Answer: -8*j**3 + 71610*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*i**3 + 15*i**3 + 86*i + 1 - 88*i as o + k*i**2 + w*i**3 + v*i and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*s + 47*s = n - 20, -5*s + 15*n + 25 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13132132 + -21100?\nAnswer: -13213232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2*o - 15 = 4*v, 2*o + 150*v = 28*v + 28*v + 46*v - 138 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.9 + 16. Are -50 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2088, -1212, -57 in ascending order.\nAnswer: -1212, -57, 2088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -9?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*u + 41 - 111. Solve -15 = 5*z, 3*b - 7 = u*z + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 + 231. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - n**2 + 225*n**4 - 416*n**4 - 1 - 21*n**3 + 193*n**4 as v*n**3 + h*n**4 + t*n**2 + f + g*n and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3075 + -27722\/9. Suppose -100 = 2*n + 5*o, -262 + 66 = 5*n - o. Find the common denominator of j and ((-5)\/2)\/(6\/n).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-1)\/2*-10. Suppose 0 = -m*p + 3*p + 8. Suppose -3*y = -87 + 39. Solve 0 = -4*z + y, p*w = z - 10 - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2031 + -2024 - (1 + 34)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -13. Let h = -48 + 57. Suppose l - h*l = 32. Put l, s, -2 in increasing order.\nAnswer: s, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -42, 1, -1\/57 in decreasing order.\nAnswer: 1, -1\/57, -3, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 309 divide 360294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-416)\/(-14) + 4\/14. Let d be ((-36)\/(-10))\/(9\/i). Suppose -b + 90 = 3*n, 0 = -2*b + 3*n - 0*n + 198. Calculate the highest common divisor of b and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2172762610.\nAnswer: 2, 5, 41, 5299421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*r + 86*r + 9*r + (0*r - r + 3*r)*(-5 + 0 + 6) + r - 4*r + 5*r + 2*r + 0*r - r + (-r + 0*r + 0*r)*(-1 + 5 - 2) + 0*r + 2*r + 0*r - 2*r + 2*r + r.\nAnswer: 60*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 5116*g - 3271682.\nAnswer: -2*(g - 1279)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2. Let u(r) = 116*r**2 - 10*r - 2. Let v(m) = 5*m + 1. Let w(f) = 3*u(f) + 6*v(f). Determine w(d(o)).\nAnswer: 1392*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 8. Let m be h(-5). Let a(n) = -8*n**2 - n + 0*n**3 + 11 + 0*n**m - n**3 + 0*n**3. Does 16 divide a(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -16. Let z = 11 + r. Sort 0.3, z, 3\/2.\nAnswer: 0.3, 3\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -1, 11530, 1?\nAnswer: 11530","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-3*-3*(-6)\/54). Is 36 a factor of 4592\/32 - ((-2)\/k)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**3\/6 + 19*d**2\/2 + 6429*d. Calculate l(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 83*f = -81*f - 5, 28*z - 3 = 25*z - 14*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -348, -622, -1350, -2760, -5080?\nAnswer: -8538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2689122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 3) to base 11\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 240, 540, 960, 1500, 2160, 2940?\nAnswer: 3840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h + 1978239988 = -3*v, 12 = -3*v + 6*v. Round h to the nearest one million.\nAnswer: -124000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j + 3. Let a(h) = h - 1. Let l be a(7). Let z be g(l). What is the units digit of (-90)\/z + (-4)\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 34360*h - 4358. Is p(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100428, 100302, 100176?\nAnswer: 100050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + 10 + 43 + (-6 - -2) + 11 + -34?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -21. Suppose 1 = -4*b - v. Put -4, 5, b in ascending order.\nAnswer: -4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m**2. Let b(i) = -i - 1. Suppose -s = -2*g + 6, -3*g - g = 3*s - 32. Let q(d) = 6*d + 4. Let k(p) = s*b(p) + q(p). Give y(k(u)).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -75 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 262600 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**3 + 2*d**2 + 19*d + 31. What is y(-2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9029270 and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 11237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 4:12 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.42 - 0.419899. What is w rounded to 6 decimal places?\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435.1904 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7843\/2 - 164707\/42. What is the fourth biggest value in 63, -5, 2\/9, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 20619506.\nAnswer: 1608321468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2 = -18. Determine c, given that 4*c**2 + 0*c**3 + c**3 - 4*c**4 + 3*c**3 - n*c**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p = -33 + 89 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1774, 3557, 5360, 7183, 9026, 10889, 12772?\n\"Answer: 10*o**2 + 1753*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from jjwwujjjuiujujuj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 191.5 + -191. Suppose 275 = 5*s - 4*s. Let v = s + -4677\/17. Sort 3, 7\/10, r, v in ascending order.\nAnswer: v, r, 7\/10, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -847, -2, -0.1, -300 in ascending order.\nAnswer: -847, -300, -2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -36*n + 32. Let p(b) = -133*b + 95. Let z(k) = -7*g(k) + 2*p(k). What is z(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j + 27. Let l(m) be the first derivative of 2 - 12 - m**3 + j. Let g(h) = -2*h. Calculate g(l(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-1)\/2*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*q - 146304 + 145954 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**2 + 65*c + 110. Let m be x(-11). Which is greater: 7\/2399 or m?\nAnswer: 7\/2399","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.35. Let k = q + 0.05. Sort 5, k, 0.1 in descending order.\nAnswer: 5, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/5*z**2 - 7\/5*z + 2\/5.\nAnswer: -(z + 1)*(9*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 1. Let t(r) = 7*r - 4. Let m(g) = -15*g + 8. Let d(w) = -4*m(w) - 9*t(w). Let i(u) = d(u) - 4*q(u). Let s(v) = v - 4*v + 2*v - v. Give i(s(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8*x**3 + 184*x**2 + 986*x + 3467. Let q(v) = 5*v**3 - 120*v**2 - 658*v - 2311. Let c(k) = -11*q(k) - 7*y(k). Determine s so that c(s) = 0.\nAnswer: -12, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s + 2. Let i(v) = -v - 6 + 4 + 1 + 0. Let u = 55 - 54. Calculate u*m(j) + 4*i(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/12 - (-2)\/3. Calculate the smallest common multiple of 5 and 1\/((-1 - u)\/(-6)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqyqhhqqqyydqqqq. What is prob of sequence dhh?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 1425*t - 1425*t.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2458 and 93\/94?\nAnswer: 115526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*g**2*q**2*s + 2*g**2*q - 79*g**2 + g*q**2*s + 2*s wrt q.\nAnswer: 8*g**2*q*s + 2*g**2 + 2*g*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4 + 4 + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48649890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -34*u - 12*u**2 + 18*u - 6 + 6*u**3 - 5*u**3. Let c be a(14). Suppose 0*w = 3*w - c. Calculate the remainder when w is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*o + 2*p - 30, 5*o - 2*p + 33 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 0 + 0)*(9 - 9 - 6*s**2).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 - 6*n**2 - 100*n + 323. Is m(12) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 961*v + 5802.\nAnswer: -(v - 6)*(v + 967)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**3 + 88*x**2 + 3996*x - 93312 = 0.\nAnswer: -32, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788070856.\nAnswer: 2, 98508857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d**2 - 2*d + 1. Let m be a(1). Suppose m*k - 4*t = 9, -2*k - 2*t + 23 = k. Solve -k*x = -x + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/135 equal to -848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 115*k**2 - 11*k + 33. What is the units digit of a(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*i + 1)*(-2 + 6 + 3 + (-3 + 2 + 3)*(3 - 6 + 1) + 1 + 2 - 2).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 25154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -691697, -691380, -691059, -690734, -690405, -690072, -689735?\nAnswer: -689394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**7)\/u*u**(-2\/11))\/(((u\/(u\/(u**6*u)))\/u*u)\/u*((u\/(u\/(u**(2\/5)*u)))\/u)\/u))\/((u*u\/u**(-4)*u**(2\/11))\/(u**(2\/9)*u**(-1\/8))) assuming u is positive.\nAnswer: u**(-73919\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2181*u - 817. Is q(58) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*i, 5*d - 38 = -5*i + i. What is the lowest common multiple of d and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4235.07117 to the nearest 100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 + 769*x**2\/5 + 612*x.\nAnswer: x*(x + 4)*(x + 765)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(3 - (40768\/1939)\/7)?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, -807 in descending order.\nAnswer: 4, -8, -807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1204 divided by -6\nAnswer: 602\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/7)\/z**11*(z\/(z\/z**13)*z)\/z**(-8) assuming z is positive.\nAnswer: z**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -5*j + 129. Calculate the remainder when 119 is divided by j.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22550641?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 a when two letters picked without replacement from iaxtq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6*-2 - 5. Let v(l) = -l**3 - 3*l**2 + 9*l + 19. Let x be v(q). Put -1\/4, -1\/2, x in increasing order.\nAnswer: x, -1\/2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -193*0.3\nAnswer: -57.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -6, 2, 10, 18, 26?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 1. Let w(m) = -2*m**3 - 5*m**2 - 2*m + 1. Let h be w(-2). Let n(i) = 4*i + 6. Determine h*n(b) + 5*t(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -19a?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-1\/3)*p*p*p)**(3\/8))**(9\/13))**47)**(-20) assuming p is positive.\nAnswer: p**(-8460\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(4\/(-3) - -3 - 3542\/966).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 4)*(6 - 5 + 0)*(10*k - 5*k + 7*k) in the form j + i*k and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 3*b + 2. Let j be p(4). Let o(c) = c**2 - 5*c - 1. Let u be o(10). Let i(m) = 91 - m**2 - u - 44. What is i(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, e: 3, g: 4, j: 4}. What is prob of sequence nn?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 3*g**2 - g. Let w = -14 - -13. Let h(x) be the second derivative of 0 + 1\/12*x**4 - 23*x + 0*x**2 + 1\/6*x**3. Determine w*h(r) - v(r).\nAnswer: -2*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2\/4 + 260\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 71.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) -2\/9 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - u**2 + 7*u - 8. Let o be f(2). Solve 15*h = o*h - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -57*w**3 + 4*w**2 - 54*w - 80. Let d be s(-20). Round d to the nearest ten thousand.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 341 and 20779.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 198?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.4 - -21. Which is the third smallest value? (a) 3\/5 (b) 1\/6 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104 - -60. Let p be (-3)\/(-12) + (n\/(-16) - -1). Let a(j) = j**2 - 4*j + 3. Let u(r) = r**2 - 4*r + 2. Let k(o) = -3*a(o) + 2*u(o). Determine k(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o - 54. Determine p(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*a - 1 + (3 - 5 + 0)*(-2*a + 0 + 0) + 1141 - 595 - 525 + a.\nAnswer: 3*a + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/2 + (-15)\/10. Suppose 2*o - o = i. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, d: 4, e: 5, c: 1}. What is prob of sequence dde?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8735249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 416294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 60 = -o. Let q be 3\/(-15) - 44\/o. Find the first derivative of -2*f + f + q + 3 + 4*f wrt f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 54939, 109938, 164937, 219936, 274935, 329934?\n\"Answer: 54999*n - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i**2 - 3*i**2 + 2*i**2 + (-3 + 2 - 1)*(3*i**2 + 2*i**2 - 3*i**2) - 3 + 2*i**2 + 3 - 8*i**2 + 6*i**2 + i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 0*q**3 + 0 + 0*q**2 + q + 0*q**4 + 1\/100*q**5 + 1\/150*q**6. Factor j(o).\nAnswer: o**3*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 98 + c**2 - 209 + 111. Let t(z) = -2*z**2 + 14*z. Calculate t(x(d)).\nAnswer: -2*d**4 + 14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (0 + 0 - 8)) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 4. Suppose 0*d - 1176 = -z*d. Let k be d\/22 - (-4)\/22. Calculate the greatest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -12*h - 3. Calculate a(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7*l - 20. Let v be b(4). Solve 2*q + v = -j - 1, 0 = 3*q + j + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**5 + c**3 - c**2 + c - 1. Let x(s) = 17*s**5 + 50*s**4 + 101*s**3 - 156*s**2 + 6*s - 6. Let u(o) = -6*g(o) + x(o). Suppose u(h) = 0. Calculate h.\nAnswer: -6, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22211 - 10113. Suppose a = -8902 - b. Round a to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (13 - (-10 + 9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1333 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -84*d - 3515. Determine l(-42).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 526*q**3 + 787*q**3 - 403*q**3 + (-1 - 1 + 4)*(-16*q**3 + 7*q**3 + 6*q**3) in the form j*q**3 + g + i*q**2 + c*q and give j.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -165 - -165. Solve -k - 4*f = 3*k - 4, m = 3*k - 3*f - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - u + 1. Let y(z) = 1071 - 2149 + 1074 + 8*z - 3*z**2. What is -4*f(w) - y(w)?\nAnswer: -w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(5\/3)*k*k)\/((k**4\/k)\/k))**(-48) assuming k is positive.\nAnswer: k**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1143 + -1144. Let d(v) = v**2 - 1. Let g(s) = 3*s**3 - 3*s**2 + 2*s + 5. What is y*g(u) - 5*d(u)?\nAnswer: -3*u**3 - 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8857487 + 3982187. Round n to the nearest 100000.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(136) - sqrt(136) - sqrt(136) - (sqrt(136) + 3*(sqrt(136)*-2 + sqrt(136) + sqrt(136))))\/((3*sqrt(8) + sqrt(8))*-5*6).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -0.06 (c) -0.1 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472 is divided by 120.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 8:13 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -9452383.97 to the nearest one hundred thousand.\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, f: 1, n: 6, i: 8}. What is prob of picking 1 n and 1 k?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 90 or 1421\/16?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from jqkcyww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57*f - 57 + 57)*(-13*f**2 + 17 - 17) - f**3 + 3*f - 3*f in the form g*f**2 + u*f**3 + z + q*f and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 238 + -243. Let r(l) = -3*l - 5. Give r(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + q - 6. Let x be m(0). Let f = x + -15. What are the prime factors of 24\/14 + (-6)\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16421.1 and -0.3.\nAnswer: 16420.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -626506, -1253034, -1879562, -2506090, -3132618, -3759146?\n\"Answer: -626528*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 200.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42873441 is divided by 974396.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i = -14. Suppose 0 = i*q - 6*q - 10. Differentiate 2*x + 4 - q*x + 9*x wrt x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c = -195. Let j be -2 - (-1007)\/38*(3 + -1). Let m = j - c. Solve 4*w - m = -4*z, 0 = -4*w - 4*z + 3*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 20*c + 16*c - 3.\nAnswer: -4*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -b - r + 17, r = 4*b - 17. Suppose u = -b*s + 3, -3*s = -2*u + 4*u - 6. Let j(h) = -h**3 + 3*h**2 - 3*h + 1. Determine j(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (58\/8)\/(410\/(-40) + 9) + 5\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 4*o - 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -591.305 to 0 decimal places.\nAnswer: -591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - -70. What is the remainder when y is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*p)*(3 - 5 + 0)*(16 + p + 22 - 58) to a*p + m + y*p**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010000011000 - -110100?\nAnswer: -1001111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61168451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**9\/3024 + a**5\/120 + a**4\/2 - 4*a. Let b(o) be the third derivative of x(o). Find the first derivative of b(t) wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1186 divide 1219425706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 2146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3305.848 * -146\nAnswer: 482653.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*r**4 + r**3*y**2 + 5*r**3*y + 3*r**3 - 2*r**2*y**2 + 265*r**2*y - 2*r**2 - r*y**2 wrt r?\nAnswer: -192*r + 6*y**2 + 30*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 27*r**2 + 3*r - 3. Let p(t) = t - 1. Calculate 6*p(m) - 2*w(m).\nAnswer: -54*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396169027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) - ((-1*sqrt(242) + sqrt(242))**2 + sqrt(242))*-5.\nAnswer: 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 136*d + 815. Let b be n(-6). Let z(g) = -11*g**2 - 1. Let u(k) = -k**2. Give b*z(l) - 3*u(l).\nAnswer: 14*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231 and 15920751?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/9)\/(8\/24) + 10882. Calculate the greatest common divisor of 270 and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 235\/(-282) - 35\/(-6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4355750 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 12*k**2 + 12*k + 12. What are the prime factors of n(-7)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, l: 1, e: 2, v: 3, f: 1, p: 3}. Give prob of picking 1 f, 1 l, and 1 e.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 11:40 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -686 - -750. Calculate the highest common factor of 192 and w.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76035544?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1563 divided by 1?\nAnswer: -1563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p**3 - p**2 + 5*p. Let m(x) = 4*x - 7. Let r be m(3). Let f(z) = 8*z**3 + z**2 - 4*z. Let v(y) = r*f(y) + 4*b(y). Give v(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 at least as big as -101\/214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from mneawnwmennw.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16495501*a**3 - 25467044*a**2.\nAnswer: 98973006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.71 - -0.29. Which is the closest to m? (a) -0.3 (b) 39 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2432 (base 12) to base 13.\nAnswer: 1b11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -6. Let c(g) = 4*g - i + 3 - 2*g + 2*g**2. Suppose 3*w = -5*o + 16, -34 = w + 5*o - 56. Let a(r) = 2*r**2 + 2*r + 1. What is w*c(x) + 4*a(x)?\nAnswer: 2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ooboy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49*h**3 + 21*h*u**3 + 2*h*v**2 - 1781*u**3*v - 2*u*v**2 + 6*u*v wrt h?\nAnswer: -147*h**2 + 21*u**3 + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 34 = 2*o, 0*o + 28 = 4*k + 4*o. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 6. Let o = r - 5. Find the second derivative of 52*h - 58*h + 0*h**2 - o*h**2 wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3)\/f)**(-1\/20)*(f**(2\/49))**16)**(-3) assuming f is positive.\nAnswer: f**(-433\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + -4. Let a = y + 9. Let q be 3 - a\/3*-3. Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/10)\/(k*k**(-6)))\/((k\/(k*k**(-2\/51)))\/(k\/k**(-8\/3))) assuming k is positive.\nAnswer: k**(4451\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s + 180. Let g = 61\/9 + -569\/72. Find the common denominator of 3\/1*51\/s and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/872 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 5. Let f = x + -5. Let p = 0.4 - -0.1. What is the biggest value in 0.1, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + -2*(-1)\/2. Let z be (-1 - u)*(0 + -1). Is 7 + -8 - z*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11371*q - 34016*q + 11341*q + 1200 = -11352*q for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**2\/2 + 7. Let o(h) = 12*h**2. Determine o(p(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 127*m**2 - 11*m + 1331. Give c(127).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -106 divided by 6\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + 2*c)*((1 - 2 + 0)*(-8*c + 3*c + 9*c) - 21*c - 78*c + 9*c + 3*c - 3*c - 2*c).\nAnswer: -192*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-754110)\/525)\/57*(-5)\/(-3)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (28 - 168 - 1)\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-7)\/d)**18)**(-1\/46))**(4\/5) assuming d is positive.\nAnswer: d**(288\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4) - -1)*4. Suppose j*m - 3*m - 2*u + 23 = 0, -77 = -3*m - 4*u. Let o = 23 - 7. Calculate the remainder when m is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -396 - -248. Let z = g - -148.00000767. What is z rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - -19 - (-4 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b + 9. Suppose -3 = -79*t + 80*t. Let o be m(t). Suppose 3*a - 5*n = 5*a - 52, -o*a + 96 = 3*n. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*v - 10. Let u = 40 - 25. Suppose 0 = 5*p - 0*p - u. Solve v*m - 1 = 2*j - 3*m, 0 = -3*m + p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*2\/(-70))\/(1\/2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 55, -23, 1.7, -3 in descending order.\nAnswer: 55, 5, 1.7, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 43\/60*d**6 + 33\/8*d**4 + 0 + 31*d**2 + 0*d**3 + 0*d**5 + 2*d. Find the second derivative of i(o) wrt o.\nAnswer: 516*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 11:36 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171497, 342999, 514501, 686003, 857505?\nAnswer: 1029007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -201782025*r**2 - 28410*r - 1.\nAnswer: -(14205*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + 202?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 162325597?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*d - 3*h = 44*d + 142, -200*h - 343 = 7*d - 193*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324020 and 5440.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 + 88*k - 432. Determine l(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1702*i**4*y - i**4 + i**3*y - 24*i**3 + 4*i**2 + 41*i*y - 11*y - 37 wrt i?\nAnswer: 40848*i*y - 24*i + 6*y - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8040199005?\nAnswer: 3, 5, 1873, 95393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 640710 rounded to the nearest one hundred?\nAnswer: 640700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 737*i**2. Let q(f) = 136 - 401 - 2*f + 137 + 128. Determine b(q(h)).\nAnswer: 2948*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47370 = -446*y + 4366 for y.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -24, 215, -2, 4 in decreasing order.\nAnswer: 215, 4, -1, -2, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -508, -798, -1090, -1384, -1680, -1978?\nAnswer: -2278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-377)\/(-78) + (-1 - 7\/(-6)). Suppose 0 = t*d - 43 - 97. Calculate the remainder when 193 is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 35*w**3 - 5*w**4 + 1584937*w - 1584972*w + 5*w**2 + 0*w**4 = 0?\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, d: 4, v: 5}. What is prob of sequence rdv?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 16. What is y(-34)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 7 - 29*t)*(-3 - 1 + 5)*(2 - 2 + 3) in the form a + g*t and give g.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84.4 - -84. Let j be -2 + (-4)\/((-376)\/186). Let g = j + 99\/235. Which is the second smallest value? (a) g (b) o (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/6 - 215912*y\/3 - 23308995872\/3.\nAnswer: -(y + 215912)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (1 + -2)*1. Let b be (-546)\/(-8) - n\/4. What is the remainder when (-2 + -1)*b\/(-6) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -2*w**3\/3 + 50*w**2 - 204*w - 9008. Determine b(48).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7135*u - 2558*u + 28031 = -3864*u - 98584 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 32 = 98. Solve -n + 14 = 4*b, 4*b - 10 - x = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135099 is divided by 1407.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 339103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -53 (b) -0.3 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 21*k - 10. Let x be w(1). What is the third derivative of -x*d**4 - 123*d**4 - 3*d**2 - 5 - 2*d**4 - d + d wrt d?\nAnswer: -3264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14, -52\/5, -0.8, 17 in descending order.\nAnswer: 17, 2, -0.8, -52\/5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l + 54*l + 2658780 = 126*l. What are the prime factors of l?\nAnswer: 5, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 - 27*w**2 + 13*w - 10. Let u be i(-14). Suppose -a = -1, -u*a = 4*s - 6*a - 50. What is the remainder when 64 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-8)\/2))\/(1\/62)*2487\/2487.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 3*m**2 - 2*m**2)*(m + 3*m - 3*m) - m**3 + 0*m**3 + 0*m**3 + (96 - 96 + 13*m)*(2*m**2 + 2 - 2).\nAnswer: 19*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/234586 and -53\/40?\nAnswer: 4691720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4\/3 - 191*n**3\/3 + 260*n**2 = 0. Calculate n.\nAnswer: -195, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 131 + 81. What is the highest common divisor of w and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 7. Let k(g) = -2*g**2 + 5*g - 3. Let s be k(3). Let o(r) = r + 12. Let p be o(s). Let a be u(p). Is 0 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*k**5 + 5214339*k**3 + 13*k + 6124445 wrt k?\nAnswer: 540*k**3 + 31286034*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, 4, -1.\nAnswer: -1, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400693, 400669, 400645?\nAnswer: 400621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 9610560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.71329 rounded to 2 decimal places?\nAnswer: 3.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*m - 470*m + 16 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24634.9933 + -24634. Let r = -0.95 + -0.05. Let i = h + r. What is i rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**6\/30 + g**4\/24 + 167*g**3\/6 + 6*g**2 + 5. Find the first derivative of z(s) wrt s.\nAnswer: 12*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - u - 3*h - 21, -4*h = 2*u + 16. Let f(i) = i**u - 3 - 2*i + 3. Let g(c) = -8*c**2 + 17*c. Suppose -2*r - 968 = -866. Determine r*f(v) - 6*g(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -22. Let y = 14 - s. Let m(f) = -f**3 - 6*f**2 - f - 2. Let t be m(-6). Solve -t = y*h - 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/25 and -31\/205?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 0.5, 1, -3029, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + c**2 + c - c**3 + c**3. Let x(j) be the second derivative of 7\/12*j**4 + 40 - 3*j - 3\/20*j**5 + 0*j**2 + 5\/6*j**3. What is 6*s(a) - x(a)?\nAnswer: -3*a**3 - a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30598823 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1532743, -1532740, -1532733, -1532722?\n\"Answer: 2*u**2 - 3*u - 1532742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62078*w**2 - 39613*w**2 + 10*w - 48598*w**2 + 24*w.\nAnswer: -150289*w**2 + 34*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-6 + 6 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 899 - 893. Let g be (7\/1)\/(2\/10). Find the common denominator of -119\/12 and 29\/a - (-21)\/g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 8*v + 6. Let f(i) be the first derivative of -i**2\/2 - i + 37. Let g(j) = -c(j) - 6*f(j). Let m(l) = -47*l. What is m(g(r))?\nAnswer: 94*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 21 + 174 = -5*f, -39 = f + m. Suppose n = 5*h + 6*n - 285, 5*n = h - 75. Let x = h - f. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (107\/(-2))\/((14\/10)\/((-888)\/2220) - -3).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2070*o**3 + 1713*o - 22747648 + 22747648 wrt o?\nAnswer: 12420*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1 (c) 219 (d) -0.12 (e) -4\/7 (f) 4\/3 (g) 2070\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c870 (base 15) to base 16.\nAnswer: 16b66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqt when three letters picked without replacement from ktkkqtkktttttttktt?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5662?\nAnswer: 2, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17654 - 5457. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 696957, 696956, 696955?\nAnswer: 696954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -14 + 14 + 17092*s - 17083*s. Let n(b) = 5*b - 48. What is q(n(a))?\nAnswer: 45*a - 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9)*a**(3\/4)*(a*a**(-2\/3))**41)**(2\/13) assuming a is positive.\nAnswer: a**(527\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5398 + 0.3\nAnswer: -5397.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880870257?\nAnswer: 3, 347, 282059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*((-220)\/(-28) - 9)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21236 is divided by 506?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -15*p**2 + 716*p - 3873. Calculate d(42).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20071958 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59230 and 320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 13*x**2 - 1 + x**3 - 11*x**2 + 23*x**2. Let z(u) = 9*u**3 - 4*u**2 + 3*u - 3. Determine 3*r(n) - z(n).\nAnswer: -6*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 676056.3 millilitres in litres?\nAnswer: 676.0563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 2*v + 392 = -4*d, -v + 4 = 0. What is the greatest common factor of 144 and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 1. Let c be s(2). Solve 4*w - 3*w = -c*m + 3, 2 = 2*m - 2*w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ef3 - -a32?\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1704045 and 105?\nAnswer: 1704045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16967\/8756 - 35\/199. What is the common denominator of v and 53\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -251685 - -5?\nAnswer: -251680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 8*m**2 + 3*m + 17. Suppose 4*l + 2*k - 26 = 0, 3*k + 6 + 9 = 0. Determine w(l).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 13*r**2 + 15*r + 10. Let g be n(-14). Let w be (g - (-6 - -3))*-2. Suppose -w*u + 4*u = 2. Solve -u = v - 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2057*c + 11284*c - 15388*c + 2060*c.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019919 take away 238?\nAnswer: -238.019919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1897078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsnshthnntn. What is prob of sequence ntns?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**7\/315 - w**6\/75 + w**5\/50 - w**4\/90 + 9*w**2 + 2. Determine i, given that u(i) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -905\/8 - -113. Let r = 99 + -695\/7. Let l = 1119 - 1121. Which is the nearest to 0? (a) p (b) l (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23913384054.08 less than -4?\nAnswer: 23913384050.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 8*z + 7. What is the tens digit of i(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 0, -0.07, -5 in increasing order.\nAnswer: -5, -1, -0.07, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53 minus 3415?\nAnswer: -3415.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 13427.\nAnswer: 80562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 12:02 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 1\/((-1)\/4). Let d = -27271\/5 + 5454. What is the closest to 1 in 0.13, d, q?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5523*s = 5453*s + 3220 for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 2*y + 4*y + 2*y**2 + 0*y. Determine k(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p - 2. Let c(o) be the second derivative of -o**5\/20 - o**4\/4 - o**3\/3 - o**2 + o. Let d be c(-3). Is j(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 take away 146982954?\nAnswer: -146982930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(135)\/sqrt(320).\nAnswer: -9*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -r - 3*h, -31 = 4*r - 3*h + 9. Let x = 13 + r. Suppose y = -2*y + 36. Calculate the least common multiple of y and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 14*t + 56056 = 0. Suppose 460 = -4*l + t. Calculate the remainder when l is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d = 0. Let p be d\/2 + (2 - -2). Solve 4*u - v = 2*v - 6, -p*u - 5*v - 22 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1708 - 24*t**5 - 20*t - 1708 wrt t?\nAnswer: -480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j + 1. Let r be w(-1). Let d = 169 + -154. Suppose -2*b + d = 3*k, -4*k + 21 = 3*b - k. Solve l - r*l = b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -868745*m**3*u*v**2 - 278*m**3*v**3 - m**2*u*v**2 + 4*m**2*u*v - 2*m**2*v - 2*m*u*v**3 + m*v**3 + u*v - 153296*u wrt m?\nAnswer: -5212470*u*v**2 - 1668*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 334085701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -780 = 97*s - 102*s. Suppose s = -9*g + 183. Solve -2*i - 5 = g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(105\/(-2))*5\/(-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 724*k + 5*d - 1433 = 0, 22*k + 10*d = 19*k + 17*d - 4*d + 15 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8*9*1\/6. Suppose 0*l - 6*l + o = 0. Differentiate 15 + 12 - 2*u**l + 14*u**2 - 11 wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, -1, -13 in descending order.\nAnswer: 78, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*f + 3*k, 5*f + 7*k - 60 = 2*k. Let p(h) = 101*h**2 + 101*h**2 + 24*h + f - 204*h**2. What is the tens digit of p(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 615840746?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9902601 - 5.\nAnswer: -9902606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1828 by 4.\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89 + -6252990.\nAnswer: -6252901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -320.97 + 320. Let n = 0.96999788 + v. What is n rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 2*s + 2. Let j(z) = -6*z**2 - 7*z + 7. Calculate -14*g(u) + 4*j(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-6*-2*sqrt(1728) - sqrt(1728)))\/((-4*(2*sqrt(600) + sqrt(600)) - sqrt(600)) + -3*((sqrt(600) - 1*sqrt(600)) + sqrt(600))) + 1)**2.\nAnswer: 99*sqrt(2)\/20 + 10601\/800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 8 = -3*j, 329*k + 7 = 324*k + 3*j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 13\/7, 3\/5, -2\/9, 1\/3, -4, 2508?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*a - m + 18, -4*a + 11 = m. Suppose k - 120 = -5*z - 3*k, -a*z + 5*k = -48. Suppose o = 67 - z. List the prime factors of o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1638688 is divided by 1168?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/696*116)\/((-2)\/(-12))*1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2\/15, 1, 208123?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -5*m - 132 + 130, 5*t + m + 18 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -70.84454\nAnswer: -283.37816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -0.015\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**4 + 0*q**4 + 2*q**4)*(11 - 9 - 4) + 3*q**3 - 3*q**3 + q**4 + (0*q**4 - 2*q**4 + 0*q**4)*(1 + 0 - 5) - q**3 + q**3 + 2*q**4 + 2*q**4 + q - q.\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(1177\/(-1284))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9340*n - n**3 + 9366*n + n**2 + 8 - 9 to l*n + a*n**2 + j*n**3 + h and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19725756 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8623 * 12.\nAnswer: -103476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 + 1 - 3*v**2 - v - 2*v**2 + 4*v**2. Let m be a(1). Let r be ((-9)\/150)\/((21\/(-4))\/7). Is r != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.12476 to one decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -9844*r - 68912. What is b(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/9)\/(2\/(-102)). Suppose -10*n + 15 = -5*n. Suppose -n*x + 15 = -5*k, -k - p = x - 3*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.827 - 32.957. Round b to zero decimal places.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (10 - (-2 + -5 + (6 - -6))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6*i*(i\/(i**(-22)*i))\/i*i*i)\/(i\/i**5*i)**38 assuming i is positive.\nAnswer: i**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 0)*57\/342*-8. Suppose 5*p = 2*p. Sort 2, p, k, -7.\nAnswer: -7, k, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 54*v - 532. What is c(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.7 times -43.83?\nAnswer: 4764.321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88 + -790\/9. Sort w, -1, 1.\nAnswer: -1, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 13*r**2 - 4*r - 19. Let k be t(-13). What is the smallest common multiple of 66 and (-3)\/k*2 + 134\/11?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58005 and 720.\nAnswer: 928080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*n - 414*n + 174*n + n**3 - 137*n.\nAnswer: n**3 - 663*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/16*44\/55.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4283832.6 rounded to the nearest 1000?\nAnswer: -4284000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*h**3*q**3 - 5*h**3*q - 2026*h**3 + 10575*h**2*q**3 + 2*h**2*q**2 + 15*h*q**2 - q wrt h?\nAnswer: 210*q**3 - 30*q - 12156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -227 + 271. Let w be -3*2\/(-3) - -2. Calculate the highest common divisor of w and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1. Let n(h) = h - 1. Suppose t + 5*t + 6 = 0. Let g(d) = -d**2 - 15*d - 16. Let b be g(-12). Let l = b + -19. Determine l*n(q) + t*v(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -14.4, -402?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5383 + (2 + 7 - 14).\nAnswer: 2, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 1, e: 1, w: 3, x: 2, z: 3}. Give prob of sequence oz.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -3) + (-2 - -1) - (-53 + 23 + -13).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 3.7. Let k(h) = h**3 + 16*h**2 + 40*h + 16. Let f be k(-14). Let l be 6 + f\/26 + 32\/130. Which is the nearest to r? (a) 2\/13 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/7 + 10*s**2\/7 + 16*s\/7 + 8\/7 = 0 for s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 8:49 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-1\/4)*k))\/k**(3\/5))\/((k*k*k*k**(-1)\/k*k)\/(k**(-3\/2)\/k*k)) assuming k is positive.\nAnswer: k**(-77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -23.93, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zebwbzccbzxxce?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 141\/36 - (-6)\/72. Let m(x) = x**2 + 5*x - 35. Let c be m(d). Suppose 5*w = -5*z + 15, w - 5 + 0 = z. Put 0, z, c in descending order.\nAnswer: c, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2, 3, 4?\n\"Answer: t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 355266 a multiple of 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3*150\/100?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9691768 or -9691767?\nAnswer: -9691768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -67*s**5\/5 + 4*s**3 - s + 51. Find the third derivative of p(y) wrt y.\nAnswer: -1608*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 1 + 138*1. Suppose 5*s - 276 = -2*r, -3*s + w = r + s. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 851.413 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8825904 or -8825916?\nAnswer: -8825904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16422 by 5.\nAnswer: 16422\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -202 (b) -0.07 (c) -1 (d) 3 (e) 0.4 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -255*a - 1788. Give h(-8).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from {a: 6, v: 4, l: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 6*j**2 - 9*j + 4. Let s be i(-5). What is the greatest common factor of s and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4728340 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 - -48. Which is the closest to 1? (a) 5 (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14\/(-2)*(-4 - 6).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.24 + -0.04. Let f = 7.1 - p. Let i = f + -3. Is -2 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 53, 89, 125, 161, 197?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 869?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 = 165*o - 164*o. Let k = -23 + 58. What is the remainder when o is divided by k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108868?\nAnswer: 2, 17, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 122 = -2*l, 3*l = 5*l - 3*n - 132. Suppose l = -2*o - o. Let t = 37 + o. What is the remainder when t is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgge when four letters picked without replacement from wwwebfeggwg.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 131\/3845 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**5\/20 + 13*f**4\/6 + f**3\/6 - 13*f**2 + 75*f - 25. Determine h(26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -28.82.\nAnswer: -23.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*q + 70 + 26. Is q\/24*2*-3508 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + (0 - -2))*2*(-30)\/12. Solve -82*r = -80*r - s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 741474 by -199.\nAnswer: -3726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -20*m**3 + m**2 + 2*m + 1. Is t(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.703 + 0.093. Let o = f - -0.610002. What is o rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/3 + 23*o**2 - 22*o - 136\/3.\nAnswer: -(o - 68)*(o - 2)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*r - 92, -f - 5*r + 204 = 3*f. Calculate the highest common factor of 504 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1076 + -1056. What is the nearest to 2 in -3\/8, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*k = -133*k - 2412 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-45) + 1\/(-5). Let s(b) be the second derivative of 1\/45*b**6 + 0 + 0*b**5 - 2*b + 0*b**2 - 1\/18*b**4 + a*b**3. Solve s(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -q + k - 31, 3*q - 2*k = 141. Differentiate -29*m + 25*m - 25 + q + 4*m**3 + 46 wrt m.\nAnswer: 12*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05458378355 to 3 dps.\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 16*j**2 + 29*j + 24. Let i be z(-14). Let d(n) be the first derivative of -1\/24*n**3 + 0*n**2 - i + 1\/8*n. What is m in d(m) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1483963694 to the power of 1\/3, to the nearest integer?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -100919, -100918, -100917, -100916, -100915?\n\"Answer: c - 100920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k - 3*k**2 + 4*k + 48*k**2)*(9 - 117*k + 116*k + 3).\nAnswer: -45*k**3 + 542*k**2 - 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 845 and 351.\nAnswer: 22815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -109*z - 109*z + 117 + 220*z + 0 + 0 + 9*z + (-3 + 6 - 2)*(-1 + 1 - 2*z) + 4*z + z - 6*z.\nAnswer: 8*z + 117","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 528 and 12.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-4\/17)*v*v*v**(-13\/8)*v)\/(v**(-47)*v*(v**(6\/11)\/v)\/v*v) assuming v is positive.\nAnswer: v**(74193\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + -25. Let t = y + -1. Let x = t - 10.9. Round x to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -120*g - 3. Let s be i(-3). Suppose 0 = -2*v - 3*d + 337, -2*v = 9*d - 10*d - s. Does 22 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l - 16*l = -3*d + 17, 5*l - 587 + 128 = 4*d - 62*d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6b7c7a + 3?\nAnswer: 6b7c7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6*(-67)\/(-67)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 6. Let s = -0.07 + -0.13. Let k = 0.1 + s. What is the second biggest value in k, p, 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/5)*s)\/(s*(s*s**(2\/7)*s*s)\/s) assuming s is positive.\nAnswer: s**(-73\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 18 - 3. Suppose -4*l = -k*s + 52961, s - 4*s - 2*l + 52931 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 14*y + 20. Let h be 8*(-2)\/(4\/3). Let b be g(h). Suppose 0 = -0*s - s + 9. Put s, b, 0 in decreasing order.\nAnswer: s, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278\/5 < 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/352*18\/(-27).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*m**2 + 270*m**2 + 276*m**2 - 820*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7145 - -21448\/3. Which is the nearest to -0.1? (a) -3 (b) -1 (c) 4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.8 + -13718.\nAnswer: -13714.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2 - 22 = 4*p, 2*p + 3*j = 0. Let d be 2*p\/6 + 89. Suppose -3*w - d = -5*w. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/20928 and 8\/9?\nAnswer: 62784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 14 = 4*f + 5*b, -5*b - 10 = -5*f. Suppose -18*l = -22*l + 3*s + 221, f*l - 219 = 5*s. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) - (sqrt(117) + -2 + 0 + sqrt(117)))) + -1 - (sqrt(117) - (sqrt(117) + 2 + 1 + sqrt(117)))*-6)**2 + -3.\nAnswer: 504*sqrt(13) + 2310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1799 + -571. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 5:54 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/2*(-12)\/18. Let v be (-2)\/(-4 + (-45)\/(-12)). Suppose -6*i + v*i = 36. Solve -5*x = -f + i - 4, -m*f + 4*x + 20 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 4, 0.02, -0.1, 0.04?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276*z - 36 = -3*x + 275*z, 0 = -x + 4*z - 1. What is the greatest common factor of 34672 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -2)\/3 + 4. Suppose 0 = s*b - 0*d - 3*d - 216, d = -2*b + 98. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**4 - 15*a**3 + 9*a**2 + 15*a - 12 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1392 and 49510337.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**3\/3 - t. Let m(l) = 11 - 11 + 44*l**2 - 33*l**2. Give m(c(a)).\nAnswer: 44*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15776)\/(-36) + 2\/(-9). Suppose 3*d - 3*n - p = 0, -4*d = -3*n - 0*n - 581. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 85744993?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/17)*x*x\/x**(-4\/5))\/(x*x\/x**(1\/2))**(-10\/13) assuming x is positive.\nAnswer: x**(4564\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4a806 (base 11) to base 5\nAnswer: -4312343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 4*z + 9. Let m be b(-5). Suppose -17 = 2*l - 3*j, 6*l - m*l - 4*j = -18. Let v(x) = x**2 + 7*x - 6. What is v(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v. Let m(u) = 2*u - 24. Let j(q) = -3. Suppose 2*b = b + 3. Suppose 0 = 3*t - b + 12. Let y(k) = t*m(k) + 24*j(k). Give d(y(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + -1 + (-11 - (-14 + 16))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 - 425 = -5*g. Let m be (-10)\/(-4)*(g - -1). Suppose 2*q + 156 = 2*p, 0 = -2*p - 0*q + 3*q + m. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1600\/(-680))\/(-4)*34.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 8 = 3*p, 3*p + 52 - 40 = -3*w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183616 is divided by 60748.\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1364868*j**2*u**2 - 8*j*u**2 - 17*j*u - 2*j - 6*u**2 - 10*u wrt j?\nAnswer: 2729736*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 152263599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2444 and 765301?\nAnswer: 39795652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94513 - 58923. What is n rounded to the nearest 1000?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t**3 + 35*t - 14*t**3 + 8 - 7 + 74*t**3.\nAnswer: 77*t**3 + 35*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 333, -12651, -6 in decreasing order.\nAnswer: 333, -6, -12651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/440 and -23\/110?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, r: 2, j: 2}. What is prob of sequence rar?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 35. Suppose -2*l + 2 = 0, -2*g - 7 = -t*g - l. Suppose -d = g*n - 34, -n - d + 7 + 7 = 0. Is n smaller than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from aysagay?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/60)\/(5\/1700). Solve -15*a + 160 = d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 10073.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1245 - -1311.9. What is v rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/9 (b) 0 (c) 1\/5 (d) 2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z. Suppose 0*y = 5*y - 50. Let h be 2\/y + 18\/10. Let t be -1*1*(5 - h). Calculate a(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-55) + (-223)\/77 - -3. Let c(r) be the first derivative of 0*r**3 - 1\/28*r**4 + b*r + 4 + 3\/14*r**2. Factor c(n).\nAnswer: -(n - 2)*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 4)*(-65 - 58*c - 30*c + 66).\nAnswer: 264*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 39 = m. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*q - 44*q = 25*q + 235620. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158*r + 1076*r**2 + 2318 - 159*r + 13*r**2 - 5301*r**2 + 672 wrt r.\nAnswer: -8424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 11*w = -16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 208 = -2*l - 3*i, 2*l = 2*i + 184. What is the highest common factor of l and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -404451.\nAnswer: 202225.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 41*o**3\/3 - 7. Let i(s) = -8*s - 6*s + 13*s. What is i(g(p))?\nAnswer: -41*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 168628309 to the power of 1\/3, to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5 = 4*y, -5*y + 4 = -5*s - 6. Let z be s\/(-6) - 10\/(-4). Let c(w) = -w**2 + 12*w - 9. Let m be c(11). Solve -p + m*p + z = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 172254 = -2*a - a, -4*a + 6*c = -229558. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -975 + 970 - (-22 - -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2 - 2*c + 3. Let v(y) = -y**2. Let a(s) = -g(s) + 2*v(s). Let q be a(-4). Suppose -3*w - 140 = -q*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14057428 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (16 - 52)) + -7 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 14 + 3 - (8 - 1) - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddzddddddzdzdd. Give prob of sequence dz.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117)\/sqrt(3)*-5 - sqrt(39)) + sqrt(2496)*-1)\/(sqrt(675)*4))**2.\nAnswer: 637\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 39. Suppose n = 3*l + m - 215, -n + 4 = 0. Suppose -j = -6 - 2. What is the highest common divisor of j and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*t**2 + 0 - 37*t**2 + 0 to the form i*t**2 + c + l*t and give i.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84351 is divided by 2112.\nAnswer: 1983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 259, 533, 819, 1117?\n\"Answer: 6*l**2 + 256*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (15 - 15 - -5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (225\/20)\/(-15)*(-16)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 13*j - 12. Let f be z(-12). Let o(x) = x**2 + 4*x + 5. Let w be o(f). Let a(s) = -s**2 + s + 7. Calculate a(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-745039)\/(-87) - 4\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*v + 3*r = 340*v - 171*v + 25, -51*r + 459 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8*v**2 + v - 1. Let q be n(1). Let a(s) = 21*s**2 - 49*s**2 + 9 + 29*s**2 - 7*s. Calculate the remainder when 32 is divided by a(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 87.986 and -1.\nAnswer: 86.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 2, 3, 7, 45.\nAnswer: -4, -1, 2, 3, 7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/22*(-623)\/((-83482)\/(-8844)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -199*y - 38*y**2 + 391*y - 191*y + 10*y**2 to the form k*y + p*y**2 + z and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 697*z - 251*z + 1021*z + 712*z to i*z + v and give i.\nAnswer: 2179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188, -374, -558, -740, -920, -1098?\nAnswer: -1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/19 and -51\/2?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2526 + 3050. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1377*-0.1.\nAnswer: -137.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 43*n - 39*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-8 + (7 - 2 - (14 + -21))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) + 52\/(-16). Let u be -12*(-4)\/18 + j\/(-9). Suppose -5*z - 25 = 5*y, -4*y + y - 15 = -z. Solve -4*m + u - 15 = z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211672977103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 y when three letters picked without replacement from {y: 8, f: 6, q: 3, s: 2}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/3 (b) -43 (c) 2 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 0 + 1\/12*t**4 + 1\/60*t**5 + 1\/6*t**3 - 17\/120*t**6 - 31*t**2 + 0*t. Give s(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*c. Is 2\/17 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 110*g - 999 - 101 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -796 + 804. Let y be b\/(-12) + 34\/6. Solve -v + y*t + 13 = v, -17 = 2*v + 5*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -85, -150, -229, -322, -429, -550?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -244538798 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138.658ml to litres.\nAnswer: 0.138658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013423241 to six decimal places.\nAnswer: -0.000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 2*v - 2. Let h be w(-3). Let n = -6 + h. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44212 + -10?\nAnswer: -44222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/d**(-1))*d*d\/d**4*((d**(-1)*d)\/d)**(2\/59) assuming d is positive.\nAnswer: d**(-179\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -723?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 61585114 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 261481398*s**4 - 377122623*s wrt s.\nAnswer: 3137776776*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2 + 2 + 9*c.\nAnswer: 9*c + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 274 + -284. Which is the nearest to 2? (a) 0.1 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u - 1. Suppose -3*d + 11 + 1 = 0. Let b be d\/2 - 2\/2. What is z(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102.47 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 - 710*p**3 + 4125*p**2 - 6140*p + 2720.\nAnswer: 5*(p - 136)*(p - 4)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15506437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 30 = 3*n. Suppose -5*t + 6*t - 18 = 0. Suppose 13*z - t*z = 5. Which is smaller: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-b - 3 + 3)*(0*b**4 + 6*b**4 - b**4) - 115*b**5 + 21*b**5 - 220*b**5.\nAnswer: -324*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*t = -35*t + 1260. Let a = -381 - t. Calculate the highest common factor of 208 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -9638*z**2. Let o(t) = 8*t**2. Calculate h(o(k)).\nAnswer: -616832*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 2*k + 6 + 9, 2*t + 4*k = 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 334751 = -43*x - 38114. What is the thousands digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 16069570*d**3 + 16069134*d**3 - 2.\nAnswer: -436*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2*l = 22, -8*k + 5*k + 3*l - 63 = 0 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -13*g**2 - 5*g - 4. Let p be 6\/(-8) - (-14)\/8 - -35. Suppose u = 0, p = 4*o - 0*u - 4*u. Let j(c) = -3*c**2 - c - 1. Calculate o*j(z) - 2*d(z).\nAnswer: -z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -505 - -500. Let i(c) = -3*c - 4. Let t(j) = j + 8. Let k(w) = i(w) - 3*t(w). What is k(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010011111 (base 2) in base 15?\nAnswer: -2eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = v - 6, 4*r + v - 4514 = -4506 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 2*l**2 - 5*l + 14. What is the remainder when j(8) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32585.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 930, 980, 1032, 1086, 1142?\n\"Answer: w**2 + 47*w + 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 5373 = -4356. What are the prime factors of p?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102.0021 - 102. What is g rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(1573))*3 - (sqrt(1573) - (sqrt(1573)*3 + 1))) + 3 + 4*(sqrt(1573) - (sqrt(1573) + (3*sqrt(1573) - sqrt(1573)))) + sqrt(1573))**2.\nAnswer: -440*sqrt(13) + 6392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 + 7*i + 25. Calculate v(-5).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1036, -37, -53 in descending order.\nAnswer: 1036, -37, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151\/2 + 539\/8. What is the common denominator of w and 133\/1128?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 + 4*r**2 + 17*r - 8. Suppose 11*q - 37*q + 104 = 0. Calculate p(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 373\/353?\nAnswer: 373\/353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 7 + 0 + 21*i**3 + 180*i**3 + 8 as n*i + d*i**3 + g*i**2 + p and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3561\/4 in -2, 1\/10, 0.3, 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 - 9*p + 11. What are the prime factors of k(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5*c - 16, -3*c = 3*z - 5 - 7. Calculate the remainder when ((-1248)\/(-26))\/(60\/80) is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 734339*z**2 - 17*z + 11*z + 6*z.\nAnswer: 734339*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5183 is divided by 1252.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001097618 to 7 dps.\nAnswer: -0.0001098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2898649181?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1)*b*b*b**(-5)*b*b*b**(-4\/7)\/b**(-7) assuming b is positive.\nAnswer: b**(31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 3, -5, -1 in decreasing order.\nAnswer: 3, -2\/19, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1069866 (base 11) to base 15\nAnswer: -26ebd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -59.54?\nAnswer: -59.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 + -197?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64416 and 853512.\nAnswer: 3414048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 3. Let r(c) = 3*c**2 + 10. Let d(l) = -10*m(l) - 3*r(l). Let u(j) be the third derivative of -7*j**4\/24 - j**2. Determine u(d(z)).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/3213 and -28\/85.\nAnswer: 16065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*(-16)\/(-336)*(36\/21)\/(-4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3\/7 - 1034*b**2\/7 - 67740*b\/7 - 131328\/7 = 0. Calculate b.\nAnswer: -57, -2, 576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -13, -1\/4, 8 in increasing order.\nAnswer: -13, -5, -1\/4, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -101, 19\/22, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20755, -20783, -20827, -20887, -20963, -21055?\nAnswer: -21163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-2 + 3)*-17989. Let t = c - 10668. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 23*f**3 + f. Let k = 593 + -475. What is the remainder when k is divided by d(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 - -71. Calculate the remainder when 62 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9104 is divided by 144.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d = 0. Let h = 198 + -198. Suppose h = -4*l - 31 + 11. Put l, d, -3, -2 in decreasing order.\nAnswer: d, -2, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1754 or 10.3591?\nAnswer: 1754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 0*r**2 + 5*r + 2*r**2. Let q be (-64)\/12 - 2\/(-6). Let p be i(q). Solve -4*x = 0, 0 = 4*t + 2*x - p*x - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8464 and 0.06.\nAnswer: -507.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22\/5? (a) 2 (b) -3\/5 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33192 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 y when four letters picked without replacement from npnpppnnynnppnnpnnn?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.027356 smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12114*z**2 - 11991*z**2 - 11989*z**2 + 36094*z**2 - 3*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4 + 2. Let l(k) be the second derivative of -k**5\/10 - k**4\/12 + k**3\/6 - k**2\/2 + 2*k. Let w be l(h). Solve -3*c = w, 3*m + 6 = 2*c + 18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/(o*o**2)*o))**(-7\/13)*(o**(-3)*o)\/(o**(-7)\/o)*(o**(1\/2)\/o)\/o**(-1)*o**(-5)\/(o*o**(-8)) assuming o is positive.\nAnswer: o**(179\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 9220.168 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*d - 6*d = 280721. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18389 times 0.7\nAnswer: 12872.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t - 60 = -3*o, 3*o - 56 = 5*t. What is the smallest common multiple of o and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) -0.2 (c) -2\/5 (d) 65 (e) -195 (f) 2 (g) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -0.4 (c) -210 (d) -84 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 7:24 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 10:39 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 0, -26*d = -28*d - 2*h - 12. Is -6 - d\/(18\/1515) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 759*a + 139*a + 6303*a.\nAnswer: 7201*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2059847 or -2059824?\nAnswer: -2059824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 5:33 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r\/(r*r\/(r**(2\/89)\/r)))\/r*r*r))**19)**(2\/17) assuming r is positive.\nAnswer: r**(3306\/1513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/2 and -57\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5623*w**2 + 2*w - 7. Let q(y) = 2*y. Calculate q(d(p)).\nAnswer: 11246*p**2 + 4*p - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59275, 59238, 59205, 59176, 59151, 59130, 59113?\nAnswer: 59100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 + 89. Let y = 25 + t. Let r = -75 + y. Which is the biggest value? (a) r (b) 5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*k - 686 - 140 = 8*k. Calculate the remainder when 67 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkxd when four letters picked without replacement from kkkkkkdxdydy?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/37)\/j*j*j\/(j\/(j\/(j**(12\/11)\/j)))*j)\/(j**(-6)\/((j*j**(-13\/5)\/j*j)\/j)) assuming j is positive.\nAnswer: j**(10694\/2035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -19a58?\nAnswer: 19a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/432*8*30?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 3*w - 12 + 84 = 0, -12 = -4*c - 14*w + 23*w for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/16 and -55\/1260071246.\nAnswer: 10080569968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*i - i + 2*i + 0*i + (1 + 0 - 2)*(4*i - 6*i + 4*i) + (0 + 0 - 3*i)*(1 + 1 - 4).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429 - 117 = -3*v. Suppose x = -5*r - 2*x + 871, r = 2*x + v. Calculate the highest common factor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*n - 177*n + 42 = 4*p, 3 = p + n for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 4 = 2*h, -5*h - 5*s = -2*h - 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -307, -304, -301?\n\"Answer: 3*o - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 208 - 418 + 9*c + 189. Let z be h(5). Which is bigger: z or -28?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**3 + 1329*z**2 + 146520*z - 147852 = 0.\nAnswer: -222, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30498831?\nAnswer: 3, 11, 71, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525 divided by 5?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 times -5.3\nAnswer: -2.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1898, 3792, 5686?\nAnswer: 7580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 23. Let x(k) = k**3 + 4*k**2 + k + 5. Let j be x(-4). Solve -w*t - 4*o = -11 + j, -4*t - 7 = -o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 167*p**2 + 235?\nAnswer: 334*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4032.646 rounded to the nearest integer?\nAnswer: -4033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**3 - 124*d**3 - 96*d**3 - 56*d**3.\nAnswer: -265*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - 112\/(-3 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(7\/1)*((-15)\/(-5))\/(-27)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59354 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 1 (c) -7.5 (d) 1\/2 (e) -2\/17 (f) 138\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w. Let h(f) = -f**2 + 7*f - 2. Let p be h(3). Let c(b) = p*b - 17*b + 9*b. Give d(c(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 249070499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -2 + -1)\/1. Suppose 0 = -2*d + 4*z - 1502, -4*d + r*d - 2989 = -5*z. Let w be (-1 + d\/9)*720. Round w to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -8*m. What is the tens digit of i(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -601 - -13548719517\nAnswer: 13548718916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*s = -16, 9*s + 16 = 2*u + 6*s. Let h be (u\/3 - 0)\/((-60)\/(-90)). Sort h, 28, -6.\nAnswer: -6, h, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 486459?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 2:57 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*n + 58*n**3 + 68*n**3 + 153*n.\nAnswer: 126*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a. Suppose 3*w + r + r - 10 = a, -5*w - r + 19 = 0. Suppose w*y - 23 = 1. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 422.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1064 + 10215?\nAnswer: 6121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -222479888 - -322479892. Let k be d\/10 + (-2)\/5. What is k rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*q + 5*q. What is the common denominator of 254*5\/(-54)*12\/40 and 1115\/210 - (-2)\/q?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 3*q**2 - 2*q + 3. Let f be (-3)\/6*(0 + -4). Let v be h(f). Solve v*m = -y + 16, 0*y = -m + 2*y + 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 417 (base 10) to base 2\nAnswer: 110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -230, 2, -10890.\nAnswer: -10890, -230, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 2*x + 2587 - 2593 = 0, 7*u = 4*x - 22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 10 - 28*l to p + g*l and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 6*r + 6. Let g be i(6). Let x be 4\/14 + g\/(-21). Suppose -f + 9 = -x*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -271*j - 698. What is the units digit of b(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 225640, 451223, 676796, 902353, 1127888, 1353395, 1578868?\n\"Answer: -g**3 + g**2 + 225587*g + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001318127752 rounded to five dps?\nAnswer: 0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22\/525 (b) 2 (c) -10 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5839 - (0*(-6)\/18 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-4))\/(((-812)\/14)\/232)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7 - 1 = 0. Suppose -5 = -z*s + 1. Factor -s*l + 0 - 3*l**2 + 5*l**2 + 9*l + 4.\nAnswer: 2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 9*w**2 - 3*w + 1. Let j(f) = -4*f**3 + 55*f**2 - 94*f + 8. Determine -6*d(a) + j(a).\nAnswer: -10*a**3 + a**2 - 76*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.161 - -2.386. Let q = 2.753 + b. Let n = q - 5. Round n to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 at least -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142792 and 1924?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -491294*p**2 - 2636729 with respect to p.\nAnswer: -982588*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 61.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 21 = -49. Suppose -4*i = -4*l + 88, -l - p = -5*l - 5*i. Calculate the highest common divisor of 15 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*w - 5*n - 258 - 2171 = 0, 18*w - 28 = 16*w - 5*n for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 15*q**5\/2 + 95*q**4\/4 - 735*q**3\/4 + 505*q**2\/4 + 105*q\/4 = 0.\nAnswer: -7, -1\/6, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -227801 (base 14) in base 16?\nAnswer: -11e709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 2:03 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.4 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51164 and 14.\nAnswer: 358148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -q + 9, 0 = -6*q + 4*q - j + 4. Let p be 4 - 4 - (-5)\/q. Solve -2*a = -2*m - 0*m - 14, -a = -p*m - 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**9\/68040 + x**8\/7560 - x**7\/2268 + x**6\/1620 - x**4\/4 + 3*x. Let p(k) be the third derivative of y(k). Factor p(o).\nAnswer: -2*o*(o - 2)*(o - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*w - 66*w = 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 at least as big as 664\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-12))**(2\/101)\/(((z\/z**(-2\/19))\/z)\/z**20) assuming z is positive.\nAnswer: z**(37722\/1919)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 137.1 and 28404773156.\nAnswer: 28404773293.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*l + 68*l - 318*l - 4964 = -91*l for l.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, 1, 1.2.\nAnswer: -9, 0, 1, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11000)\/165)\/10*2*3\/(-5)*8?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 730253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 2*y**2 + 5*y**2)*(-3 + 2 + 0)*(-2 - 4 + 0).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1697 divided by 357\nAnswer: 1697\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkwkwwwkwkwwwwwkwwk.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(56\/(-6468)*-21)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-2 + 12) - (-136 - -181)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b - 19 + 15*b - 8*b + 4*b - 2*b - b**2. Give n(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110100 + 10?\nAnswer: 10110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 375955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 12:46 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*p, -3*v - p - 3*p = 577. Let d = 190 + v. Which is the nearest to 0.4? (a) 2 (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570581117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-30) + ((-2)\/(-6) - (-637)\/(-2940)). Let j be 2\/(16\/3)*-1. What is the nearest to 1 in j, a, -2\/21, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - o**2)*(-2*o**2 + 5*o**2 - 6*o**2)*(-2 - 1 + 4 + (0 + 2 + 0)*(-2 + 4 + 1)).\nAnswer: 21*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 44*v + 222. Give b(38).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 513195149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -88\/5, 43, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2 - 11*q - 7 + 13 + 13 wrt q?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -897 = 54*s - 2112 - 2187. What is the smallest common multiple of s and 336?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -565.012 + 567. Let a = -0.012 - r. Let x = -4 - a. Is x equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + 10 - 10 + n + (-3*n**2 + 3*n**2 - 4*n**2)*(-5 + 3 + 4).\nAnswer: -9*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 898*v - 53583. Determine n(-56).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 232 and 551?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 3. Let d(n) be the second derivative of -n**3\/6 + n**2\/2 + 280*n. Give 9*d(r) - 4*k(r).\nAnswer: -5*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -5*d**4\/4 + 22*d**3\/9 + 5*d**2\/2 + 2*d\/3 - 10. Let t(a) = 0. What is a?\nAnswer: -1\/3, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + o = -3, 8 = 3*t - 6*t - 4*o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.797276 litres in millilitres?\nAnswer: 797.276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8*o**2. Let z(b) = b**2. Let f(i) = -k(i) + 6*z(i). Let h(w) = 6*w - 16. Let g(m) = -m + 3. Let v(t) = -16*g(t) - 3*h(t). Determine v(f(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*m + 6*m + 8235 = 0, 5*k = 2*m + 10299. Suppose 52*v + k = 55*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3 + 1 + 0*f + 2*f. Let q be c(-3). Let x(o) = 1. Let w(h) = -2*h - 5. Let a(u) = w(u) + 6*x(u). What is a(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Let z = 15 - 5. Let i = z - 6. Is b smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 3. Let z = f - -2. Let u = 4 + -4. Is z greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + 0 + (-5639 - -5503).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26, -118, -270, -482, -754, -1086, -1478?\n\"Answer: -30*j**2 - 2*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*p - 8177 = 5680 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/4)\/(4\/((-160)\/(-12))). Suppose 5*y - 22 = 4*p - 5*p, 0 = a*p + y - 14. Let c(o) = 2*o. Determine c(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -5356, -1, 5, -3 in descending order.\nAnswer: 5, -1, -3, -26, -5356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**1)**35\/(l**(-2\/3)*(l*(l**(2\/11)\/l)\/l*l*l)\/l*l)*((l*l**(-1))**(-16))**33 assuming l is positive.\nAnswer: l**(2293\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9 = -11. Suppose -z*f + 36 = -2*f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/1)\/(-1)*(-9)\/54.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -16*n. Let h(x) = x. Let l(t) = -3*h(t) - q(t). Let r(b) = b. What is r(l(c))?\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 25*r - 1. Let i(d) = -75*d + 3. Calculate -2*i(v) - 7*l(v).\nAnswer: -25*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-one fifths of a millennium?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - 7*v**3 - 10 + 7*v**2 - 5*v**2 + 8 to the form p*v**2 + b*v**3 + w + x*v and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1088142 + -557342. What is m rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -249, -1, 84, 16, 2 in increasing order.\nAnswer: -249, -1, 2, 7, 16, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 1395765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-13 - -1)) + -4 + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 8*f**4\/3 + 11*f**3\/6 + 3*f**2\/2 + f + 6. Find the second derivative of k(h) wrt h.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43751\/15 + -2917. Which is the second smallest value? (a) -25 (b) -4 (c) k (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3 + 19. Suppose -48 = -u*a - k, 0*a - a + 5*k = -33. Suppose -2*l - a - 41 = -4*h, -4*h + 5*l = -69. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2786 and 15991290?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15423, -14423, -13423?\nAnswer: -12423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 19*i**2 + 27*i + 112. Calculate c(17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**21*q*q**17\/q*q assuming q is positive.\nAnswer: q**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 4:05 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142009 is divided by 732.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49766, -99531, -149296?\n\"Answer: -49765*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.84 and 0.4?\nAnswer: 1.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 8*n**2 - 7*n + 18. Let v be q(-9). Suppose -4*a = 5*a - v. What is the highest common factor of 27 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796915907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 7*n**2 + n + 24. Determine a(8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 292 + -149. Suppose 139*m = k*m - 988. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3815514 divided by 74?\nAnswer: 51561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 3*m**4\/4 + m + 70. Give f(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2777, -11230, -25321, -45050?\n\"Answer: -2819*q**2 + 4*q + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 3, 4*v = -182*w + 185*w - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 0, 6.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**3\/6 - x + 8. Let s(g) be the first derivative of c(g). Let d(i) = 3*i**2. Give s(d(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 48350*c + 628556. Calculate u(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -191*k**2 + 188*k + 3.\nAnswer: -(k - 1)*(191*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -8*w + 39. Let c = 77 + -71. Let i be m(c). Is i > -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, j: 5}. What is prob of sequence jaj?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39433\/22 - -1792. What is the common denominator of -105\/26 and i?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*x - z - 9 = 0, -x + 2*z + 11 = 0. Let d be ((-18)\/27)\/(x\/(-3)). What is the third derivative of 2*t**4 - 8*t - d*t**2 + 8*t wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 + -125.8. Let p = o - -19. Let y be (-1)\/4 + (-9)\/(-68). Which is the closest to 0? (a) -4 (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l + l)*(-5*l + 2*l**2 + 5*l) + (16 - 16 - 4*l)*(-37*l - 13*l**2 + 17*l**2 + 0 - 2).\nAnswer: -12*l**3 + 148*l**2 + 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 194159837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*d - 13. Let o be (-1)\/d + (-38)\/57. Which is the second smallest value? (a) -3 (b) o (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8873 - 214*v**2 + 8873)*(-4 + 1 + 2).\nAnswer: 214*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/30 + -17\/60. Let b be 12\/(-8)*2\/(-15). What is the nearest to 1 in b, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 309203, 309202, 309203, 309206, 309211?\nAnswer: 309218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 314631 and 336582?\nAnswer: 14473026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21485803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -39. Put -3, a, -3\/4 in ascending order.\nAnswer: -3, -3\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v + 8*v + 96 - 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*x**3 + 1 + (0*x**3 - 3*x**3 + 2*x**3)*(4 - 5 - 2) - 17*x + 17*x - 3*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-79 - (-31100)\/400) + 282\/8 + 1\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3667826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, p: 3, a: 7, g: 2, u: 6}. What is prob of sequence ag?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuuuubcccuucucu. What is prob of picking 2 c and 1 b?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-3 - -4)\/55). Let d be (-9902)\/(-20) + (-52)\/520. What is the greatest common divisor of d and m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - u - 23. Let g be r(-3). Is 8\/g + (-1 - -318)*15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 20*o**2 - 8. Let m(h) = -h**2. Let g = 3 - 1. Let f(q) = g*i(q) + 36*m(q). Let f(t) = 0. What is t?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {a: 7, w: 2}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*u = 7, -2*d = -25*u + 27*u - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 297 and 792.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 w when four letters picked without replacement from iiigw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -948307 divided by 59?\nAnswer: -16073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - d = 24. Which is the closest to -0.1? (a) -1\/2 (b) d (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 552526853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-16)*-20 - 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 13 = -2*y - 20, 4*o + y = 16. Suppose 0 = 2*i - o*q - 121, 4*i - 2*q + q - 197 = 0. What are the prime factors of i\/18 - 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -46.73. Let h = -0.2700017 - z. What is h rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*q = 60911 - 348423, 0 = v - 4*q - 57470. What are the prime factors of v?\nAnswer: 2, 28753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -155*p + 8. List the prime factors of f(-2).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 25*n = 29*n + 67, 3*c + 5*n = 18. Suppose -c*t + o - 404 = -15*t, -5*t + 512 = 3*o. What is the lowest common multiple of t and 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 2 - (-133 + 146)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 11, 18748 in increasing order.\nAnswer: -1, 11, 18748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 19*v**2 + 7*v - 1. Let m(f) = -6*f**2 - 2*f. Suppose g - 12 = -4*l - 9, 5*l = 5*g + 35. Determine l*c(q) + 7*m(q).\nAnswer: -2*q**3 - 4*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**7\/126 + u**6\/15 + u**5\/12 - 4*u**4\/9 - 2*u**3\/3 + 8*u**2\/3 - 1114*u. What is p in i(p) = 0?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8089, -8104, -8129, -8164, -8209, -8264?\n\"Answer: -5*x**2 - 8084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 14. Let c be l(-12). Suppose -11 = -4*h + z, -c*h = 3*h - 4*z. Suppose j = -m - h*m + 17, m = 2*j - 1. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/7)\/v**(-8))\/((v*v\/v**(2\/31))\/(v**(-6\/11)*v*v)))**(-31) assuming v is positive.\nAnswer: v**(-18630\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 - 27. Suppose 0*x = -2*x + s. Let y = x + -24. Calculate the greatest common divisor of y and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1490312*89\nAnswer: -132637768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 10*j**2 + 27*j + 46. Calculate the remainder when m(-12) is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 3*n - 1. Suppose 0 = -3*f + 5*g + 92, -4*f - f = -2*g - 166. Calculate the remainder when f is divided by y(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + r - 31 = 0, 136*o - 4*r + 36 = 134*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**3 + 7*b - 2. Let h(t) = -3*t - 48. Let u(k) = -2*k - 30. Let q(j) = -5*h(j) + 8*u(j). What is -d(l) - 6*q(l)?\nAnswer: -3*l**3 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 179 - 179.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + m = -144 - 5, -4*c = -5*m - 169. Suppose b - 3*b = -c. What is the highest common factor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 6*p**2 - 6*p + 10. Let c be n(-7). Let s(o) = 3*o - o**2 + 0*o**2 - c*o. Let q(g) = -6*g**2. Calculate s(q(i)).\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbj when three letters picked without replacement from {h: 2, j: 1, c: 1, b: 2, w: 2, n: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 884?\nAnswer: 6188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 6:03 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.11 and 3.25?\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 6*o**2 + 12*o + 63. Let f be g(-6). Let z(x) = 238*x**3 - 5*x**2 - x**2 - 10 - 2. Let u be z(f). What is u rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 b when three letters picked without replacement from fsbepesp?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, v: 6, o: 1}. What is prob of picking 2 j?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139 + 139. Let o(v) = -4 + n + 16 + 58*v - 2 - 9. Let y(g) = -g. What is o(y(c))?\nAnswer: -58*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -20 + (329 + -23)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t + 63. Let i(s) = 4*s + 127. Give 6*i(m) - 10*p(m).\nAnswer: 4*m + 132","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1))\/(-1*(-2)\/(-3))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3780922 and 1703?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2404105931 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 604438.8 decades in years?\nAnswer: 6044388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 1125 = -2061. List the prime factors of m.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25.4 + -29. Let s = 331.86 - 335. Let a = s - h. Round a to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19695.562515 + -0.1\nAnswer: 19695.462515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.009614 to 1 decimal place.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7897290 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 678 = -14*c + 748. Solve -51*w + 46*w = -2*i - 7, 2*i = w + c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7055110989 - 0.4.\nAnswer: 7055110988.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -103.\nAnswer: 5\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (5 - (-2 + 3))) + -1 - -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/8095850 and -121\/10.\nAnswer: 8095850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5*y = 0, -5*y + 5 = -r + 21 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*h**3 - 4*h**2 + 81*h**3 + 4*h**2.\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*m + 5*m + 18 = 0, -29 = -6*p + 5*m. Solve -4*c - 20 = 2*r - 22, -3*r = 5*c - p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*1 - (-72)\/(5 + -11). Let w be f + 14 + 0 + 1. Let t(p) = w*p - 24 + 50 - 26. Let l(u) = 19*u**2. Determine t(l(y)).\nAnswer: 38*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 4\/3, -2\/7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 325103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11352865 to the power of 1\/3, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-66)\/(-36) - (-3)\/18. Is (11\/33)\/((-2)\/(-25332)*u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8599809643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -3*r**5\/4 - 14*r**2 + 27*r. Find the first derivative of k(i) wrt i.\nAnswer: -45*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 4360921344781.7?\nAnswer: 4360921344786.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 86341159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-33280)\/(-3030) - -11. Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14465 rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**4\/5 - 8*x**3\/5 + 3*x**2 = 0?\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - -1 - (-6 - 87) is divided by 4\/((-200)\/(-2425)) + (1\/2)\/1?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usuu when four letters picked without replacement from {y: 2, u: 7, s: 7, d: 2}.\nAnswer: 49\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (7 - -2) + -2 + -3 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, 138, -1\/7, -13\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8263*y**2\/9 + 1837*y - 14\/9.\nAnswer: -(y - 2)*(8263*y - 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v + 248 = 0. Suppose 2*j + 104 = -5*q, -v = 2*q + q + j. List the prime factors of 2*5\/(q\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h = 3. Let y(w) = -w**3 - 2*w**2 - 3*w - 1. Let a be y(h). Let u = a - 10. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 26 + 1641*p - 13.\nAnswer: 1641*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 4:48 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.096 less than -5587.424?\nAnswer: -5587.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361508794.\nAnswer: 2, 31, 5830787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 282 = -3*s - 5*d, 4*d = -4*s + 384. Let v = 102 - s. Suppose -4*o = 4*b, -3*b + 20 = v*o - 5*b. Solve -3*p + 0*p = -m + 8, -o*p - 4*m = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153 + 13*y - 278 - 11*y - 10*y.\nAnswer: -8*y - 431","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 17. Let f be (-1122)\/1560 + r\/8. Let m = -7 + 8. Which is the second smallest value? (a) m (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/7, 0.06, -70\/13, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 75 = -5*p, -5*p = -p + 4*z - 44. Let r be (4\/14)\/((-4)\/(-364)). Calculate the greatest common factor of r and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 3*l**2 - 12*l - 2. Let g be j(-5). Let x be -4*4*(-4)\/g. Suppose 7 - x = b. Let d(u) = 6*u**2 + 1. Calculate d(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (18 - 13) + 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -386287*c*m**3 - 2*c*m**2*o + c*m*o - 2*m**3*o + 83*m**2*o + 3588*m**2 wrt m?\nAnswer: -2317722*c - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 0. Let l be ((-1592)\/(-3383))\/(609\/119 + -5). Suppose 75 + 50 = 5*i. Solve b*o - 8 = -l*t, 5*o = -3*t + 4*t - i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -195 - m**2 + 390 - 3*m - 190. Let s = 6 + -3. Suppose s*y - 25 = 8*y. Give o(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (272*q**2 + 40*q**2 - 131*q**2)*(0*q + 2*q**2 + 0*q) + 0*q**4 - 2*q**4 + 4*q**4 + (-q + q + 2*q**4)*(0 + 3 - 1).\nAnswer: 368*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12841 is divided by 6410.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -8*t**3 - 4*t**2 - 11*t + 42. Let c(k) = 15*k**3 + 10*k**2 + 20*k - 97. Calculate 3*c(s) + 7*q(s).\nAnswer: -11*s**3 + 2*s**2 - 17*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*c = -164*c + 135*c + 282 + 4593 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112200120001 + 121?\nAnswer: -1112200112110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 50388400 to the nearest 100000.\nAnswer: 50400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28200 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -16, -37, -68, -109?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -112*o**2 + 1068*o + 18673. Give l(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from kqquqqakkkkqkk.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(357)*1 + sqrt(357))*-6 - sqrt(357))\/(sqrt(7) - 4*sqrt(21)\/sqrt(3)))\/((sqrt(21) + (sqrt(21) - (sqrt(21)*-2 + sqrt(21))*5))\/(5*-1*sqrt(7))).\nAnswer: -65*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426*w**3 + 611*w**3 + 415*w**3.\nAnswer: 1452*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21002.6 times -0.03?\nAnswer: -630.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-9))\/(5\/((-270)\/24)). Suppose 0 = w + 3, -w - 15 = g + z*w. Let n = 0.9 + -1. Which is greater: g or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 3, 4, 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 340 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -16*(34\/(-12) + 3)*-12. Suppose -28*y + x*y = 448. Calculate the highest common factor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n - 126 = 0. Let z be (-14)\/n + 144218\/(-72). Let d = z - -1982. What is the common denominator of 47\/2 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20518 is divided by 4069?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -291, -349, -391, -411?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -909, -1815, -2723, -3633, -4545, -5459, -6375?\n\"Answer: -c**2 - 903*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + f + 14 = 0, 5*k + 6281*f = 6277*f - 34 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65\/3 + (-15)\/(-45) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3279996176 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 10) to base 7\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/14 and 19\/5350.\nAnswer: 37450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29011 - -29042. What is the third smallest value in -5, r, -1\/4, -4\/3, 1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 574478509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eex when three letters picked without replacement from ermmefxfee?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + u**2 + u. Let d = 155 - 154. Let k(o) = -3*o**3 - 4*o**2 - 2*o. Determine d*k(a) + 2*h(a).\nAnswer: -a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/2*(4 + 1). Let v = 18 + w. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jlkkkll. Give prob of sequence ljll.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2 - k - 1 + 1 + 2*k**2. Let j(x) = 3*x**2 + 2*x. What is j(v) + 2*n(v)?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - ((-22144)\/392)\/(-8). Let s = -0.09 - 0.91. Which is smaller: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -705 + 755. Solve 56*x - h*x = 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 631*o**3*u**4 - o**3*u**3 + 310*o**3*u - 2*o**2*u**2 wrt u?\nAnswer: 15144*o**3*u - 6*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8935 + -8937. Which is the fourth biggest value? (a) -0.8 (b) 5\/6 (c) m (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlsqllqlllllssqs. What is prob of sequence qq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/2)\/2 - -3. Let s = 14 - 15. Suppose 0 = 2*k + k. Put s, k, c in increasing order.\nAnswer: s, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 477 and 8?\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 865877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (393\/(-524))\/((-5272)\/(-480) + -11)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**5 - p**5 - 15945565*p**6 + 1193*p**2 + 15945562*p**6 wrt p.\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -215 + 286. Which is smaller: 75 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 18, -4, 1\/11, 0.4 in descending order.\nAnswer: 18, 0.4, 1\/11, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - 113\/3. Which is the nearest to -2\/5? (a) -3 (b) n (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q**3 + 39*q**2 + 245. Let g(x) = 6*x**2 + 4*x**3 + 5*x**2 + 6*x**2 + 134 - 12 + 2*x**2. Let t(h) = -3*c(h) + 7*g(h). Differentiate t(i) wrt i.\nAnswer: 21*i**2 + 32*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 9) to base 13.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 392*b**2 + 445*b - 21434. Calculate o(391).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3 + (1 + 1 + 0)*(7 - 2 - 3))*(-68*p + 19*p - 3*p**2 + 16*p).\nAnswer: -9*p**2 - 99*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 51 = 4*f, -2*f - 5*a + 19 = -44. What is the remainder when 75 is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*j + 60 + 28, t - 69 = -4*j. Let f(o) = -17 - 2*o**2 + j. Let v(i) = -45*i**2. Determine v(f(q)).\nAnswer: -180*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a microgram in nanograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.704 - 0.374. What is u rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -39, 0.1, -11, 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 + i. Let j be q(-1). Suppose -v = -3*z + 98, -3*z = -0*v + j*v - 88. What is the highest common divisor of 80 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24.761 * 1\nAnswer: 24.761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22200?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 330 + -265. Calculate the highest common divisor of t and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) - ((-2*4*sqrt(1053) + sqrt(1053))**2 + sqrt(1053)) - 2*(2 + sqrt(1053) - sqrt(1053)).\nAnswer: -51601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -15*o + 1. Let z be i(-1). Let n = -27 + z. Let g(k) = -k - 9. Let f be g(n). Solve 20 = f*s + 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79 - -190. Let n = 105 - a. Sort n, 0.08, -1\/4 in decreasing order.\nAnswer: 0.08, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1724 and 0.4?\nAnswer: 1724.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 = -14*g + 1661. Suppose 2*n + 126 = g. Sort -0.1, -4, 1\/9, n in decreasing order.\nAnswer: 1\/9, -0.1, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3 = 7. Let y(d) = -d**3 + 3*d**2 + 2*d + 3. Let t be y(x). Calculate the common denominator of -1 + t*(-12)\/64 and -37\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -574684*t**2 + 805779*t wrt t?\nAnswer: -1149368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/4 (b) -0.2 (c) 94 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 663, 816, 965, 1104, 1227, 1328, 1401?\n\"Answer: -o**3 + 4*o**2 + 148*o + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002519 rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 957827426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -2*v + 1\/3*v**4 + 4 - 7\/10*v**5 + 7\/3*v**3 - 2*v**2. Let r(z) be the first derivative of d(z). Factor r(y).\nAnswer: -2*(y - 1)*(y + 1)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -229, 0.3, 5, 0, 1\/3.\nAnswer: -229, 0, 0.3, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132846316174*n + 59*n**3 + 132846316174*n.\nAnswer: 59*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 33 (b) -31 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r = 26*r - 150. Calculate the greatest common factor of r and 1275.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.11, 2.728, 0, -2\/113, 2\/11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4028402 millilitres?\nAnswer: 0.0004028402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.815975 centimeters?\nAnswer: 78.15975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -6, -8, -12, -18, -26?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 173575227.\nAnswer: 2\/173575227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2 + 2*a**3 + a**3 + 0*a - 2*a. Let m = -9 + 0. Let r(q) = -13*q**3 + 9*q + 9. Determine m*n(h) - 2*r(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -7*y**3\/3 - y**2\/2 + 49*y. Let c(r) = -3*r**2. Calculate w(c(h)).\nAnswer: 42*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 727748 to the power of 1\/2, to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -4*s - 2*h + 15, 0 = 5*s - 3*h + 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1252364 divided by 6.\nAnswer: 626182\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 39*g + 20. Let y(c) = -48*c - 19. Give 4*a(m) + 3*y(m).\nAnswer: 12*m + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*h - 209*h - 11 = 3*j, -3*j = 2*h + 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*-6*(-4)\/(-16). Suppose 3*j + 1 = o - 1, 0 = -j - n*o + 16. Let h be 11*(j - 1 - -2). Solve -4*a + 22 = q, -4*q - a + h = 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 6. Let b be s(6). Suppose b = -3*h + h + 28. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m**3 + 22*m**3 - 11*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1700)*-1 - (sqrt(1700) - (sqrt(1700)*-1 - sqrt(1700)))*-5)**2.\nAnswer: 244800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oga when three letters picked without replacement from qogysogggygsagggqgga?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - t - 49 + 91 + t**2 - 43.\nAnswer: (t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1068 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z - 12. Let p(b) = b + 1. Let y(f) = -2*p(f) + q(f). List the prime factors of y(11).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + 5882*x - 41259. Calculate c(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -78086, -156183, -234268, -312335, -390378, -468391, -546368?\n\"Answer: q**3 - 78104*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/120 and (-3)\/12*50\/16?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l. Let r(y) be the first derivative of 3 + 3*y - 4*y**2 - 3*y + 0*y**2. Let b(g) = -6*d(g) + r(g). Let n(s) = -3*s. Calculate n(b(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 1647 = -1647 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15471 or 15467?\nAnswer: 15467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. What is the second derivative of -12*y - 5*y**2 - 3*y**b + 7*y**2 wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 - 1054*i + 12000*i - 10946*i.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 18*j**2 - 58*j - 18. Let g be z(-14). Solve 0 = -2*w + g - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1231*x - 1515361\/2 - 1\/2*x**2.\nAnswer: -(x - 1231)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 41. What is the greatest common divisor of 44 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*f**3 + 24*f**3 - 10*f**3 + (-19*f + 11*f + 13*f)*(-5*f**2 - 2*f**2 - f**2).\nAnswer: -34*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(13 + 10 - 4)*(-2*c - c + 6*c)*(10*c - 4*c - 7*c - 1).\nAnswer: -57*c**2 - 57*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 5 - 3)*(12775*y**3 - 26968*y**3 + 11112*y**3).\nAnswer: -6162*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 u, 1 j, and 1 a when four letters picked without replacement from {h: 8, i: 2, a: 1, j: 2, u: 1}?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 494147955 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1927\/3 - -49535\/51. Let a = 1061749\/3230 - t. Let s = a + 1\/38. Sort -2, -13, s in decreasing order.\nAnswer: s, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by -6\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 73\/5 of a tonne?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.88, -1\/21, 2, -5, 139\/46?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/2 + 28*m**2 + 392*m = 0. What is m?\nAnswer: -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 80, 101, 116, 113, 80, 5, -124?\n\"Answer: -2*f**3 + 9*f**2 + 8*f + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 - -0.29?\nAnswer: 176.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-11)\/(-6))\/(-2*(-3)\/12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.11 + 0.01. Which is the third smallest value? (a) -3 (b) 2\/11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 11.\nAnswer: -2, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137528 or 137529?\nAnswer: 137528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 0*c - c + (2*c - 4*c + 0*c)*(0 + 2 - 1) + c + 0 + 0 + (-1 + 2 - 2)*(0 + 0 - 5*c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959808?\nAnswer: 2, 3, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 equal to 4224\/197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 7*r. Let f(s) = 7*s. What is 4*a(n) - 3*f(n)?\nAnswer: -4*n**2 + 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 1. Let y(j) = -j**2 + 10*j - 7. Let o be y(9). Which is the nearest to 4? (a) -0.1 (b) o (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*3 + sqrt(76) + sqrt(76) - sqrt(76))*-4 + sqrt(76) - sqrt(76)*-3*-6)\/(5*((sqrt(264) - sqrt(264)*-1)\/sqrt(11))\/sqrt(6)).\nAnswer: -33*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 0 - 1\/3*p - 13\/6*p**2 - 4*p**3 - 3\/2*p**4 = 0.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89402882*m**2*p + 67*m*p + 133901*m wrt m?\nAnswer: 178805764*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**5\/20 - 5*s**4\/6 - 3*s**3\/2 - 12*s**2 - 467*s. What is p(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -8*f + 1. Suppose 6 = 5*h - 4. Let o = 6 - h. What is the smallest common multiple of o and x(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/(-2) - (-1)\/2. Suppose -i*y + 9*y = 4. Suppose -2 = -p - 1. Which is smaller: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**3 + 204840*m**2 - 1024295*m + 1229190 = 0.\nAnswer: -40973, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (-4 - -38) + 1 + -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*l - 38*l + 1054 = 3404 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (30 - -18) - (-26 - -4)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 + 7 - (-7480)\/11 is divided by 62?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1764*d*i*k**2 + 2*d*i + 6*d*k**2 + 2*d*k + 714*d + 3*i*k - 4*k**2 - 1 wrt k.\nAnswer: 3528*d*i + 12*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 1:32 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5126 or -5437?\nAnswer: -5437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67405895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.4 and -1.7422.\nAnswer: -4.18128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 22*o**2 - 32*o + 99. Determine p(22).\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 12*l**2 + 13*l + 28. Let d be i(-11). Solve 5*u - 1 = -d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/4, 0, -1\/5, -8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 - 5 = -18*o. Let y be -28 + (48\/3)\/4. Let t = y + 29. Put o, t, 9 in ascending order.\nAnswer: o, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -1\/4, 0.1, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3109)\/2*-4*948\/24 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/3 - 15798*m - 47392\/3 = 0.\nAnswer: -23696, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -7*z - 6, 3*z = 6*l - 3*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -33 - (7 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p**2 + 1123*p - 8842. What is d(179)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, z: 3}. What is prob of picking 2 z?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(1 + (((3*sqrt(192) - sqrt(192)) + sqrt(192) + 1 - sqrt(192) - sqrt(192)) + (sqrt(192) - (-1 + sqrt(192)*-1 + sqrt(192))))*-6)**2.\nAnswer: -138841 - 10560*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -598 + 2169. Suppose -9*q = 2*c - 10*q - j, 0 = 2*q - 10. What are the prime factors of c?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/252 and 149\/219170.\nAnswer: 3945060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2)*((-98)\/490)\/(-7*(-2)\/35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 12*b = -66. Solve -b*s - 7 = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -221216692318685 and 3.\nAnswer: -221216692318682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 140 = -68. Let a(m) = m**3 - 8*m**2 + 10*m - 8. What is a(g)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 19*f**2 - 17. Let k be h(-8). Suppose -2*z + k = z. List the prime factors of z.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 172, 53, -4.\nAnswer: -6, -4, 53, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 968206824 a multiple of 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 18, m: 2}. Give prob of picking 3 o.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -129 - 731*b - 164 + 293 as q*b + x and give q.\nAnswer: -731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*o + 22 = 0, -5*m - o - 2 = o. Suppose 2*s = -2*x + 6, 5 = 3*x + 2. Sort 3, m, 0, s in descending order.\nAnswer: 3, s, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + ((-3)\/(-2))\/(9\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 113.76?\nAnswer: 113.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12212221 - 2010?\nAnswer: -12222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -8 - -5) + -28 + 9\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62791650.\nAnswer: 2, 3, 5, 139537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*m = -6 + 5, -4 = -2*g + 2*m. Put g, 4, -3 in decreasing order.\nAnswer: 4, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/59682 and 106\/715155.\nAnswer: 41478990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 93049.8ml?\nAnswer: 93.0498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 245 - 133. Calculate the remainder when v is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + sqrt(175) + 0 + 4)**2*-4 - ((sqrt(175) + 2*(sqrt(175) + 1*sqrt(175)))*5)**2.\nAnswer: -112239 - 320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -8, 4, 9655, 6 in descending order.\nAnswer: 9655, 42, 6, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2004882, -8019543, -18043978, -32078187, -50122170?\nAnswer: -72175927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 21*s + 18.\nAnswer: 3*(s - 6)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2215.6 - -2229. Which is greater: p or -5\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2943 divide 162821475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*a - 85*a = -147 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4\/5, 16\/15, 45\/7 in descending order.\nAnswer: 7, 45\/7, 16\/15, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 5:35 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (56\/12 - 4)\/((-4)\/30). Suppose 5*y - 4*n + 36 = 0, 2*n - 14 + 2 = y. Sort y, c, -2 in decreasing order.\nAnswer: -2, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 28*y**2 - 72*y - 1187. Give p(-27).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1261)\/(-388)*4\/26.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -40 (b) -4 (c) -3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 224 - 123. Let k = -102 + s. What is the third smallest value in k, 4\/7, -1\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/5 + (1340\/50)\/(-2) + 12\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -754210*n**3*s**2 + 335*n**2 + 804*s**2 wrt n.\nAnswer: -4525260*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71333 a multiple of 543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 257498 and 1158741?\nAnswer: 2317482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 2*k + 94*k**4 + k + 2*k**2 to h*k**2 + w*k**3 + t*k**4 + i + d*k and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(3)*2 + 4 + 3))**2.\nAnswer: 252*sqrt(3) + 549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.4 + -19. Let a = -12.4 + k. Let o = -9.034 - a. What is o rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9162 + -9427. Do -4 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*(-2)\/10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 442.\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*z - 60, -2*z - 3*k + 75 = 3*z. Let p = 62 + -33. What is the remainder when p is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -528, 0 in decreasing order.\nAnswer: 5, 0, -528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 266, -2\/5, 101, -1\/4, 1\/2?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2108209, 2108208, 2108207, 2108206, 2108205?\n\"Answer: -l + 2108210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 24 = v - 5, 4*n + 26 = 2*v. Suppose -s + v = 18. Solve -s*z = -2*z - 4*w - 4, -2 = 2*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4\/k**(-2\/9))**41\/(k**(-4)*(k*k**(-4))\/k*k**1*k**4*k) assuming k is positive.\nAnswer: k**(1576\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 5*f = -23, 3228 = -a - 3*f + 3241 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*(1 + -2))\/((-41)\/41). Solve 5*j = r + 4 - x, -5*r + 10 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -43*a**4\/24 + 343*a**3\/6 - 70*a**2. What are the prime factors of x(7)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 191*h + 897*h + 2579*h + 2849*h - 1123*h as k*h + x and give k.\nAnswer: 5393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 8 + 4 + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o + 2. Let m(y) = y + 1. Let b(r) = -3*m(r) + s(r). Let c be b(4). Is -11*c*(-28)\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*34)\/(3015\/22914*38\/10)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(204)*-5)\/(sqrt(1200)*2 + sqrt(1200) - sqrt(1200) - sqrt(1200)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 4*d**2 + 17 - 3*d**2 - 27 - 292*d as s + k*d**2 + o*d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 14, -5 in descending order.\nAnswer: 14, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h**10)**29\/(((h\/(h**(5\/3)\/h*h*h)*h)\/(h**(-1)\/h))\/(h*h**(-1)\/h)**2) assuming h is positive.\nAnswer: h**(947\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 97957620221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = 4*v, -6 = -3*v + 5*p + 4. Suppose -35 = -2*u + 11. Let t = u - v. Is 19 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 198 + -183. Suppose 0 = -2*r + c*r - 273. Let h(x) = 2*x**2 + 2*x + 1. Let j be h(-2). Solve 0 = 3*o - 3*l - r, -j*o - 2*l - 1 = -8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5531 + 105123\/19. Let x = 301\/76 + i. Which is greater: x or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -2\/5, 1867?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.688598 rounded to three decimal places?\nAnswer: 3.689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41\/2 + 455\/22. Suppose 0 = 2*x + 3*x - 15. Let v be -3*52\/(-48) - x. Which is bigger: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/468*143\/33.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n = -38*n - 200. Suppose 634 = 2*o - 3*m - n, -o + 357 = 4*m. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -55*w**5 + 2*w**2 + 9*w + 2. Let v(k) = 166*k**5 - 7*k**2 - 28*k - 7. Let s(g) = 7*n(g) + 2*v(g). Find the second derivative of s(i) wrt i.\nAnswer: -1060*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122 + -193. Let b be ((-3)\/(6\/(-58)))\/(-1). Let i = b - k. What is the highest common factor of 28 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 115.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7.314 times -1\nAnswer: -7.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {f: 7, u: 3, c: 3, l: 3, q: 1, h: 1}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.924 to one decimal place.\nAnswer: -11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21101001212 (base 3) in base 13?\nAnswer: -51092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -746 + -6?\nAnswer: -74c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 84.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**2\/15 - 22094*v\/15 - 1820024\/15 = 0.\nAnswer: -10964, -83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 15*m - 16*m + m + 11 - 7 to the form x*m + n and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 + 99. Suppose -4 - n = -3*w. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (152\/(-6) - 4)*21\/(-14). What is the highest common factor of j and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 1.273.\nAnswer: -1.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -726617 to the nearest 10000.\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101111 - 1000000110010?\nAnswer: -1000010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z + 1. Let i(h) = -h. Let r be i(1). Calculate j(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/50*50\/(-60)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3732*s**2*w**4 - 2*s**2*w**2 - 4*s*w**5 - 26530*s*w + 2*w**2 wrt w.\nAnswer: -89568*s**2*w - 240*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19856\/1020)\/(-73)*(-10)\/12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39 + -8?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 329, 1, 5, -6, -4, -997 in decreasing order.\nAnswer: 329, 5, 1, -4, -6, -997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 95789 to the power of 1\/2, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24090207 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**5\/10 - k**4\/5 - k**3\/10 + k**2\/5 = 0. What is k?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63568 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -324642*v**2*w**5 - v**2*w**2 - 60*v**2 + 6*v*w**2 - 67*w wrt w?\nAnswer: -19478520*v**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 32 + n**2 - 9*n + 15*n + 3*n. Suppose 4*m + 5*i - 2*i + 25 = 0, m + 10 = 3*i. Does 3 divide o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 8. Let c be w(4). Suppose -p = 5*b - 17 - 103, -5*b = c*p - 120. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61823467213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 204*l**2 + 12*l + 2. Is j(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-22) + (-81)\/99. Let b(t) be the first derivative of 7*t**2\/2 - t + 21. Let r be ((-1)\/1)\/(1\/5). Let j(n) = -n. Give p*b(d) + r*j(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -17. Suppose 3*x - 141 = 4*p + 117, -l*x = -5*p - 425. Let z be x\/26 - 2\/13. Solve z*t - 18 = -6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b4599 (base 14) to base 9.\nAnswer: 3761460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 24*d**2 - 273*d - 1970. Give v(-7).\nAnswer: 1117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -60, -77, -108, -159, -236, -345?\n\"Answer: -n**3 - n**2 - 7*n - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 n when four letters picked without replacement from lnnlbbbblnbn?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 34. Let k(p) = -2*p - 1. Let b be k(-4). Suppose 2*d - b = d + 2*a, -5*d + 2*a = -59. What is the greatest common factor of d and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3073 - aa2?\nAnswer: 23b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**5 + 4*f**5 + 0*f**5 - f + f + f**5 + (2*f**3 - 2*f + 2*f)*(3*f**2 - 3*f**2 + f**2) + (0 + f + 0)*(12*f**4 - 5*f**4 + 8*f**4).\nAnswer: 19*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1\/4, -45, 5\/11, 4\/13, -4 in ascending order.\nAnswer: -45, -4, 1\/4, 4\/13, 5\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v**(1\/10)))\/v**(-16))\/(v**(11\/5)\/v*v\/v**(-2\/27)) assuming v is positive.\nAnswer: v**(3949\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 460, -2.\nAnswer: -34, -2, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q**4 - 30008*q**3 - 8065644*q**2 - 13721680*q + 4579600 = 0. What is q?\nAnswer: -535, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4702*z + 7247*z - 585*z in the form w + d*z and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 - 8*d + 197. Let h(o) = 2*o**2 - 3*o + 86. Let p(n) = 9*h(n) - 4*z(n). Give p(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 4*w**2 - w - 2. Let j be h(-2). Let s be (3\/14)\/(6\/j). Let d = -3\/35 - s. Sort d, -5\/4, -1\/4 in increasing order.\nAnswer: -5\/4, -1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*-1 + (-198835)\/(-5681).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 27*r - 26*r + 630 = 49*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.2 + 30. Let b = -3 + d. Let x = 3.6 + 0.4. Sort 3, b, x.\nAnswer: b, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -17 + 16 - (-1 + -15). Suppose 2*z - c = 11. Calculate the remainder when 25 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 210800 to the nearest 1000.\nAnswer: 211000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/3)\/((-4)\/(-16)). Suppose 2*a + 4 = h, n*h + 3*a - 52 = -14. Calculate the lowest common multiple of 2 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*z - 1666 = -5176 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6 - 60\/(-45). Suppose w*s - 143 - 179 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -1109*t - 30. Is u(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*a - 1 = 3, -3*a = -12. Suppose -122 = -t*o - 30. Calculate the remainder when 66 is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -115 + 115. Let q(b) be the second derivative of 0 - 1\/4*b**4 - 1\/2*b**2 + c*b**3 - b. Find the first derivative of q(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 45\/2*c**2 + 0 - 57\/2*c**3 = 0. What is c?\nAnswer: -1, 0, 4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 151836?\nAnswer: 3036720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (594\/4)\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 23 + 5. Let p(i) = 5 + 5*i + 4 - 1. Let w(x) = x + 1. Let r be (-21)\/14*(-4)\/(-6). Calculate b*w(t) + r*p(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 15*g - 18*g. Let l = g + 82\/3. Find the common denominator of l and -1\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3686078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3\/7 + 36*b**2\/7 - 130*b\/7 = 0. What is b?\nAnswer: 0, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -49*z. Let l(r) = -7881*r**2 - 15*r. Calculate l(p(v)).\nAnswer: -18922281*v**2 + 735*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**3 - 3*n + 25*n - 2*n**3 in the form z*n**2 + d*n + m + p*n**3 and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 0.3 (c) -19305 (d) 0.5 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 25, -g - z - 19 = 4. Calculate the common denominator of 3\/(-4)*66\/g and 9\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 7. Let x be d(7). Suppose x = -3*p + 8*p. Let y = p + 42. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*j**3 + 231*j**3 + 3*j**2 + 4*j**2 - 7*j**2.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -12, -8, 0, 12, 28, 48?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + (sqrt(11) - (-1*(sqrt(11) + 1) + sqrt(11))))**2 - sqrt(99)\/(sqrt(9)*1 + sqrt(9)))*-3.\nAnswer: -135 - 21*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 31*y - 893513 = -892643 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-2)\/(-5))*2. Suppose 5*y = -v - 25. Let m be y\/(-21) - 15\/(-21). Sort -3, 0, m in descending order.\nAnswer: m, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w + 4. Let u(l) = -11*l - 7. Let n = 11 + -16. Let b(z) = n*c(z) - 3*u(z). Differentiate b(h) with respect to h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**2)\/(g**3\/g)*(g**1)**(4\/37))\/((g*g**(1\/4)\/g*g)**(-1\/26)*g**(-1\/4)\/(g\/(g**2*g))) assuming g is positive.\nAnswer: g**(-2285\/3848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2161 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1314236724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-58)\/4 - 0)*-14. Let j = 42032 - 42003. Calculate the highest common factor of k and j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4. Suppose y = -z + 3 + 1. Let r be z*1\/1 - 2. Calculate the greatest common factor of r and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66678348 to the power of 1\/2, to the nearest integer?\nAnswer: 8166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*f - 651 - 299. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 - 4*b - 3. Let y be u(3). Suppose -2*h + 10 = y*h. Let j = 13 - h. Calculate the lowest common multiple of 8 and j.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8560.541 centuries in months?\nAnswer: 10272649.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10220 - -26349. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294683 divided by 99?\nAnswer: 294683\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n**3 + 10*n - 13*n - 43*n - 76*n.\nAnswer: 28*n**3 - 122*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*r + 279*r - 315473 + 315475.\nAnswer: -20*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 725*o**3 - 4*o**2 + 2*o. Let c be z(1). Let f = c + -405. What are the prime factors of f?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 2:59 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**3\/3 - 5*w**2\/2 - 10*w + 8. Let y be k(7). Suppose -5*o = 5*m + 15 - 40, y*o = 4*m + 44. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/598 and 31\/15184.\nAnswer: 349232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31370 - 428711 = -22*r - 29*r. What is the remainder when r is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 5*q + 84. What is the remainder when 53 is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1384188 and 150?\nAnswer: 1384038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 47. Let q(k) = k**2 + 10*k - 3. Let a be q(g). Suppose -20*n - 14 = -a*n. Solve n = -3*x - 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 - 48?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 - (228 - (124 + -37))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -24, -3, -4, -8 in descending order.\nAnswer: 2, -3, -4, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 7*d**4\/12 + 4*d**3\/3 - 4*d**2. Find the first derivative of f(g) wrt g.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 34.4583288ms?\nAnswer: 0.00000005697475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1232 divided by -112\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*q + 26*q - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -6*r + 121. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 59670928 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*q - 2*x, q - 5*x + 589 - 554 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 1662*l**2 - 57357*l - 443772.\nAnswer: 3*(l - 587)*(l + 12)*(l + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/30 and 179\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 103 and 2.3.\nAnswer: 236.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(0*r + 2*r - r)*(-3 - 3 + 7)*(76 + 58 - 59).\nAnswer: -150*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3254131 (base 6) to base 4\nAnswer: -213301213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1156*b + 113 = -1157*b, -b + 148 = -5*q. Sort -0.4, q, 5\/3, -0.1.\nAnswer: q, -0.4, -0.1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168\/240*(-8)\/14*-5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 193834111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 10, -4*a + 115 = 4*x - 7*x. Let r be a + 3\/(3\/(-2)). Suppose -3*j + 10 + r = 0. What is the highest common factor of 77 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 2*j**5\/5 + 9*j**4\/2 + 16*j**3 + 16*j**2 + 4038. Factor v(c).\nAnswer: 2*c*(c + 1)*(c + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(68)\/(-6*sqrt(4)*-1))**2.\nAnswer: -17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -3. Let z = -23 + p. Which is the third biggest value? (a) -2 (b) z (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeegwurwwedu. Give prob of sequence wu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -192 + 178. Let z be (78\/(-14))\/13 - 76\/h. Solve -3*n + 5*n + 3*c - z = 0, -2*n - 3 = -5*c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -725.46 rounded to the nearest 10?\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -222 - 2*m + 7*m + 221 + 2*m + 4*m. Determine i(3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -25, 43 in decreasing order.\nAnswer: 43, -1, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p - 3*p + 12*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s**2 + 7. Let v be (-117)\/99 + (-6)\/(-33). Calculate the remainder when w(-3) is divided by (v + -3 + -4)*-2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.13 * 279.\nAnswer: 1152.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3758 divide 4519336978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(7)*-3 - (sqrt(7) + (sqrt(63)*3)\/sqrt(9)).\nAnswer: -7*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -15 - 6 - 6*n + 45. Let r be h(16). Let z be (-10)\/(-6) + 93\/r. Which is the nearest to -0.1? (a) 6 (b) z (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 4*s + 8, -3093*g = -4*s - 3092*g + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/13792 and 91\/13792.\nAnswer: 13792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 9*u**2 - 2*u - 3. Let n be f(-9). Suppose -3*k = -2*k - 5*a + n, 0 = -4*k + a + 16. Suppose k*m - 352 - 113 = 0. Is m a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57503.81 days to seconds.\nAnswer: 4968329184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -51*g - 19. Let l(u) = 34*u + 12. Give 8*l(i) + 5*x(i).\nAnswer: 17*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 358.\nAnswer: 17.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 27517572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -32, -8, 32, 94, 184, 308?\n\"Answer: p**3 + 2*p**2 + 11*p - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - 3*(2 - 1). Suppose y = 4*o + 5*r + 56 - 14, -5*o - 4*r = 48. Let t = o + 11. Calculate the greatest common divisor of t and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 657, 664, 683, 720, 781, 872, 999?\nAnswer: 1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 28.53295kg?\nAnswer: 0.02853295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 4, -3, 1.26?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 240.38329 + -134.3843. Let p = 106 - v. What is p rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 6:24 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -69*(397\/(-3) - 3). Is 1\/3 + n\/21 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m - 38 = -113. Solve j + m*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2106 + 2186 - 3*l + l**4 - 4399 in the form p*l**3 + d*l + i*l**4 + x + y*l**2 and give x.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/13 - 448*t\/13 + 25088\/13.\nAnswer: 2*(t - 112)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/10 + (-48)\/(-40). Let o = 11.73 - 11.73. What is the biggest value in n, 2, 0.1, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4\/3 - 8054\/3*o**2 - 2686*o = 0.\nAnswer: -1, -2\/4027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, h: 3, n: 4}. What is prob of picking 2 h and 2 n?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 3*v - 12, -v - 119 = 2*s - 81 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*n**2 + 7\/2*n + 85.\nAnswer: -(n - 17)*(n + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*w - 33*w - 26901. Find the common denominator of -1\/18 and w\/(-180) - 12\/2.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000138441596 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/13 + 126*o**3\/13 + 1720*o**2\/13 - 1848*o\/13 = 0. What is o?\nAnswer: -42, -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1) + 27 + -9 + -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*m - 30 = 263*m - 2*h, 0 = 2*m + 7*h + 39 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 7*s - 20. Let j be l(10). Does 7 divide (-4)\/j - ((-576)\/20)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.73 + 6.73. Sort m, -0.4, 1\/57 in decreasing order.\nAnswer: 1\/57, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 17*o = 0. Let c be (o + 0)*(-2)\/4. Suppose -4*a - 20 = 0, c = -2*f + 6*f + 4*a - 84. Calculate the remainder when f is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccc. What is prob of sequence cc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2044.303058 to one decimal place.\nAnswer: -2044.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.13 (b) -5 (c) 2 (d) 1764\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 3*r. Let u be n(0). Let z(g) be the third derivative of 1\/2*g**4 + u - 3\/20*g**5 + 0*g - 1\/2*g**3 - 7*g**2. Factor z(i).\nAnswer: -3*(i - 1)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 29*z**3 - 2. Let r be g(1). Suppose 2*h - 3*h = -216. What is the greatest common factor of r and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58944 is divided by 4534.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/100 + -1169\/100. Calculate the common denominator of -23\/7 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i. Let w(v) = -129*v + 193*v**2 + 129*v. Determine x(w(b)).\nAnswer: -193*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2 + 2*r**2 + 7*r**3 + 0*r**2 - 3*r + 1 + 10*r**3. Is l(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(21\/6*6\/42*-14)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 656 divided by -2\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1881\/1368)\/(1*(-1)\/(-8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/62466 and 181\/870.\nAnswer: 312330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 8*b**2 - 6*b. Let g be ((-14)\/(-6))\/(3\/27). Let l be ((-1)\/(-2))\/(2\/(-56)). Let d = l + g. Determine v(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001057198482 to 6 decimal places.\nAnswer: 0.001057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53910594?\nAnswer: 2, 3, 29, 139, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*l - 67*l - 162 = 0. Calculate the common denominator of 91\/8 and -1 - (-49)\/(-33) - 36\/l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/5 (b) -0.1 (c) 17\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 (base 8) in base 10?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -109774.6 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 19 (b) -26 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 7:23 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/5, -2\/5 in decreasing order.\nAnswer: 1\/5, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*s = 355, 4*s - 59 = -v + 50. Let a = -41 + v. What are the prime factors of a?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259244667?\nAnswer: 3, 11, 2618633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-75)\/24 - -3) + (-9)\/(360\/(-215)))*8.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36422, -72371, -108320?\nAnswer: -144269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3\/2 (b) 239\/2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2261, -2089, -1919, -1751?\nAnswer: -1585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -5\/2, 1, -154\/153, 4, -2?\nAnswer: -154\/153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {k: 1, j: 4, m: 2, s: 1, f: 1, d: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*h**2 - 448*h**2 + 221*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32\/3 in 1\/4, -5, 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**5\/30 - b**4\/8 + b**3\/6 - 3*b**2. Calculate the smallest common multiple of 10 and q(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**3\/6 - 3*i**2 + 2*i. Let x be q(-9). Solve -3*o = -x*b - 15, -o + 15 = -2*b - b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/9 and -61\/618?\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 15) to base 11.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/3)\/(36\/4050). Let y be d + (-4 - (-4 - 0)). Round y to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 2 - 0) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 45 = -7*r. Let m be r - 18\/30*5. Solve -5*f + 3*c - 10 = 0, -f - 9 = -m*f - 2*c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k - 32 - 20 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1220 + -5?\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/1*(34\/51)\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12804624 divided by 8.\nAnswer: 1600578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 - 58. Let t = x + -12. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 9) to base 13\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 0. Let s = 130 - 127.05. Let d = -0.05 - s. What is the second smallest value in d, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, a: 2, i: 1}. Give prob of picking 2 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*g**3*o**2*x**2 + 5*g**3*o**2 - 3747*g**3*o*x**2 - 32*g**2*o**2*x - 2*g*o*x - 6*g*x + 2*o wrt x?\nAnswer: 34*g**3*o**2 - 7494*g**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**4\/6 + o**3\/6 + 5*o**2\/2 - 116*o. What is l(-5)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*g - 3 = -45, 37 = 5*m + 3*g. What is the least common multiple of ((-121)\/(-3) - -5)*(0 + 3) and m?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/(-28))\/((-30)\/24). Which is the second biggest value? (a) d (b) -9\/16 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -316304501*z**2 + 9*z + 1002700 wrt z?\nAnswer: -632609002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 17 = 2*r - 4*r, 3*t = r - 21. Calculate the remainder when (-65)\/(-4) - 215\/172 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5028 by 1257.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 y, and 1 i when three letters picked without replacement from nyyyynnynynniy?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 277314427 to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 - 110221?\nAnswer: -111103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 4*q**2 - 6*q + 7. Let k(j) = -j**2 - 7*j - 1. Let t be k(-6). Let u be g(t). What is the derivative of 4*s - s**3 - 4*s + 2*s**3 - u wrt s?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgxc when four letters picked without replacement from {g: 1, c: 1, i: 1, x: 1, v: 2, o: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 24*x - 28. What is the remainder when a(5) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 713058 (base 16) to base 9.\nAnswer: 14855450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -849699432054 from -0.5.\nAnswer: 849699432053.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264765, -264763, -264761, -264759, -264757?\nAnswer: -264755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -0*g - 2*r - 10, g + 10 = -2*r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - 0\/2)\/(4\/4). Solve g*r = r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183872675 and 6950?\nAnswer: 3475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -82*j. Let l(i) = 38*i**2 + i. Give b(l(q)).\nAnswer: -3116*q**2 - 82*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-363)\/(-22) - 1\/2. Solve -4*u = -k - 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2459\/76023?\nAnswer: 2459\/76023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3958853 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.015 - 20.985. Let f = h + 21.1. Which is the nearest to f? (a) -4 (b) 4 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + (-24)\/(-20))*210. Suppose 3*l - 5*l = -j. Suppose 6*k - l = -3*k. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (57\/19)\/((-3)\/1). Which is the nearest to t? (a) 4 (b) 0 (c) -59\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2667891 divided by 889297?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/69 and 35193 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q - 462. Give b(123).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 75.441 - 0.041. Let a = z - 97. Let x = -21.401 - a. What is x rounded to two dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -776.9 times 4.7?\nAnswer: -3651.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 2. Let u be h(4). Suppose -u*v = v. Suppose v*g + 4 = 4*g. Solve 26 - g = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**5\/10 - h**4\/4 + 2*h**3\/3 - 9*h**2 - 22*h + 2. What is the units digit of p(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.317 + 4.3. What is h rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**4\/4 + 7*j**3\/3 + 7*j**2\/2 - 3*j - 3. Let t be b(-6). Let g = t - -14. What is the greatest common divisor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 - -58.8. Which is the closest to -0.1? (a) 5 (b) -2\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 162, -17, -4, 2, 1 in descending order.\nAnswer: 162, 6, 2, 1, -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112893 = -2779*x - 165007 for x.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -7*x + 4*p + 50, 5*p - 2 = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - 12. Let y be u(-8). Let w = y + 31. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.6 - -1484322.\nAnswer: 1484340.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*w + 5*w + 6 = 0, -5*l + 16 = -2*w. Let n = -52 - -80. Let b = n - 16. Solve 4*x - l = -4*g, x - 5*g = -b - 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143944262139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g + 3 - 2*g**3 + g**3 - 3*g**3 + 2*g**2. Let u be 12\/30 + 17\/(-5). What is the hundreds digit of b(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1\/3, 2, -3\/2, 0, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*w + 10*w - 4*w + (-4*w + w + 4*w)*(5 - 1 - 2))*(-3 + 2 + 2)*(-5 - 2 - 1) in the form n*w + k and give n.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 927 or -49\/1088?\nAnswer: -49\/1088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 5*f + 2*l - 24, -8*l = -5*f + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - n**2)*(-158464*n**3 + 78*n + 158459*n**3 + 20*n**2 - 16*n**2).\nAnswer: 5*n**5 - 4*n**4 - 78*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/306277368 and 71\/8040?\nAnswer: 1531386840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, d: 5}. Give prob of sequence dfd.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 2*j**2 - 3*j**2 + 4*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/6*324\/252*2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 4:52 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2623758201 to three dps.\nAnswer: -0.262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 4:27 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 301*a**3 + 125.\nAnswer: 903*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 26251 and -996.6?\nAnswer: 27247.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 66597 divided by 6\nAnswer: 22199\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1126*q**4 + 25090*q**3 + 9*q**2 + 22961*q - 11 wrt q.\nAnswer: 27024*q + 150540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.54999999 - -0.55. What is p rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**2. Suppose r + 73 = 2*r. Let v(y) = r - 34 + 11*y - 39. Determine v(o(l)).\nAnswer: 44*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/(-4) + (-3)\/(-6). Suppose -2*n = s - 92, 2*n + r*s - 98 = 4*s. Calculate the highest common factor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12688*n**5 + 39838*n?\nAnswer: 253760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 1:20 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*z - 15. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11085, -11124, -11163, -11202?\nAnswer: -11241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 55 - (-15 + 13)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184556*m**2 - 1240*m**3 + 184556*m**2.\nAnswer: -1240*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 1\/40*q**6 + 2*q**2 + 0 - 1\/84*q**8 + 1\/42*q**7 + 0*q**3 + 1\/24*q**4 + 0*q - 1\/12*q**5. Determine k so that v(k) = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21278.76 to the nearest 100.\nAnswer: 21300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4011, -8147, -12421, -16851, -21455, -26251?\n\"Answer: -3*y**3 - 51*y**2 - 3962*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -105 (b) 11 (c) -0.3 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -104000100 (base 5) in base 16?\nAnswer: -6ea1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:29 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s + 5. Let p(r) = r + 2. Let h(z) = -2*c(z) + 5*p(z). Let k(l) = 15*l. Determine h(k(f)).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2737*f + 665136. Calculate r(-243).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 13*a - 20*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1809\/13 - -139. Let q = -19 + 18.9. Which is the biggest value? (a) q (b) -3\/5 (c) -3\/2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 0*a**3 + 7 + 1\/6*a**4 - 14*a + 0*a**2. Let g(w) = 2*w**2 - 41*w. What is m(g(p))?\nAnswer: 8*p**4 - 328*p**3 + 3362*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 374*w**3\/3 - w**2 + 8093*w + 10153. Find the second derivative of y(h) wrt h.\nAnswer: 748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a + 27. Let x(m) = 3*m - 26. Give -6*w(r) - 5*x(r).\nAnswer: 3*r - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.1073 to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1590 or 1208?\nAnswer: 1208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-226)\/(-60) + 105\/(-180)*74\/259.\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 + 2*q)*(-2*q + 2*q + q) + 16*q**2 + 15*q**2 - 5*q**2 - 1 + 1 + 2*q**2)*(0 + 3 - 1) to the form y + l*q + p*q**2 and give p.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -333 (base 5) to base 6\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50310 (base 6) to base 3.\nAnswer: -100001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 102138 (base 12) to base 15\nAnswer: 4ec1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -0*v - 5*v + 5*y, 2*v = -2*y + 10. Suppose -5*g - v = -22. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (4 + -3)) + (41 - (14 + 3)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 + 15*a**2 - 2*a - 18. Give n(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + l - 197 = 0, 0*d = 2*d + 3*l - 143. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 + 274*v - 279*v - 3*v**2.\nAnswer: 2*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12323231 - -11?\nAnswer: -12323220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -8. What is the lowest common multiple of (-2)\/f - 30\/(-2) and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -17. Suppose g + g - i = 0. What is the third derivative of 17*r + g*r**2 - 11*r - 4*r**4 - 6*r wrt r?\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66 - 2?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1440727823 by -45797.\nAnswer: -31459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 6:30 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1999 + 309846\/155. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-4)\/v)\/(v\/(v\/v**9))*(v*v\/(v\/((v\/v**(-2)*v)\/v)))**(-42))**1)**(-14\/11) assuming v is positive.\nAnswer: v**(2548\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/8*k**2 + 45\/4 + 317\/8*k.\nAnswer: (k + 45)*(7*k + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 424*x**2 + 55420*x - 365792.\nAnswer: -4*(x - 71)*(x - 7)*(x + 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 times 14\nAnswer: 3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-35) - (-4)\/(-15))*(-8316)\/(-1386).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/45 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.05381746+-7817\nAnswer: -7816.94618254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 - 25*y - 10. Let d be j(-8). What is the common denominator of d*(226\/48 + -8 + 7) and -103\/78?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1223 - -4?\nAnswer: -1217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5820, -11632, -17398, -23094, -28696?\n\"Answer: 4*y**3 - y**2 - 5837*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.38, 139, 3, -0.4, -1\/8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5\/3)*y*y)\/(y\/y**8))\/(y**2)**(1\/16) assuming y is positive.\nAnswer: y**(173\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021953 rounded to 5 dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44362 is divided by 198?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -157, -145, -129, -109?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10528, 10500, 10486, 10492, 10524, 10588, 10690, 10836?\nAnswer: 11032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (186\/(-4))\/((167097\/126)\/73 - 24) + -8?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1169226, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 32*g**2 - 190*g + 51. Let r be k(-24). Suppose 0*v + v = 3. Suppose 0 = v*m - 6*m + 12. Put r, -2, m in descending order.\nAnswer: m, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zozozozzzozozz. Give prob of picking 1 z and 2 o.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + -14 - (31 - 30 - 4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 830 + 24088 = 4*i, 3*w + i = 74754. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 83\/(-4)*((3 - 3) + -4). Let t = -15 + x. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2. Let z(m) = -29*m**2 + 11*m - 14. Let s(n) = 2*b(n) - z(n). Let l be s(6). Let h = l + -615. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1975*h**3 - 16*h**2 - 4. Let g(a) = 5927*a**3 - 51*a**2 - 13. Calculate -4*g(u) + 13*r(u).\nAnswer: 1967*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -12. Suppose 6*a = 2*a + z. Suppose 4*i = -5*r + 2, 3*r - 7 = -5*i + 2. Calculate the lowest common multiple of a and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 10:11 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*g - 15449, -5*o + 2*o + 23176 = 4*g. Let v be ((-2)\/(-8))\/(9\/o). Let n = -215 + v. Sort 1, n, -0.2 in descending order.\nAnswer: 1, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**2 + 84*f**3 - 217*f**3 + 112*f**3.\nAnswer: -21*f**3 - 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 69480\nAnswer: -7\/69480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 + -73. Let t(a) = 2*a**2 + 1. Calculate t(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 18*n**2 - 2*n - 4. Suppose 2*p - 6*p - 72 = 0. Is 12 a factor of s(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 20 = 0, -2*f = o - 3*f - 55. Let i = o - 38. Let d = -17 - -42. Calculate the remainder when d is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**7\/630 - 2*q**6\/15 - 149*q**5\/90 - 19*q**4\/3 - 205*q**3\/18 - 7*q**2 + 139*q + 2. Factor b(k).\nAnswer: -(k + 1)**2*(k + 5)*(k + 41)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16179135 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**5\/20 + 3*v**4\/4 + 2*v**3\/3 + 5*v**2\/2 - 39*v. Let a(d) = -d**3 - 4*d**2 - 2*d - 2. What is 9*a(x) + 4*k(x)?\nAnswer: -5*x**3 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 615, -14 in decreasing order.\nAnswer: 615, 0.4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*b - 38, -9*q + 4*q + 4*b + 94 = 0. What is the remainder when 70 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -1418*x**6\/5 + 6459*x**2\/2 + 2051*x. Differentiate c(f) with respect to f.\nAnswer: -34032*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 2*b**2 - b. Let m be x(1). Solve -5 = -m*a + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630*l - 20 = 625*l. Solve -l = -p - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1473 = -5*z, 0*z = -3*g + 4*z + 1104. Let p = g - 199. List the prime factors of p.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/8, 12, -0.4, 1 in decreasing order.\nAnswer: 12, 1, 1\/8, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -5.7, -4, 2\/5, 0.5, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 2*m**2 - 36*m + 101. Let l be p(3). Factor -1\/3 - 2\/3*r - 1\/3*r**l.\nAnswer: -(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29b (base 14) to base 13\nAnswer: -319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -441 + -95. List the prime factors of 3\/(-3*8\/j).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 - 274.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 7 = 3. Let n = g - -5. What is the derivative of 4 - 1 - n*l + 2*l wrt l?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 + 8*n - 5. Let b(r) = -6*r**2 - 18*r + 12. Determine 2*b(f) + 5*z(f).\nAnswer: 3*f**2 + 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/(-115))\/((-2)\/(-14))*-5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 23 + 3. Let r = b + -5. Solve -r*i - 4*l - 16 = 0, -2*i - l - 4 = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 + -4)\/(13 - 1188\/81)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 48427\nAnswer: 7\/48427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 89.50718 micrograms?\nAnswer: 0.00008950718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -15.3. Let s be 1\/((-171)\/39 - -4) + 2. What is the third biggest value in s, -3, -5, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/153)\/((-2)\/3*1)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -308768 or -308770?\nAnswer: -308768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.02 - 2.82. Let j = 1\/1137 - 127\/758. What is the smallest value in h, -0.01, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 19*t + 3888. Let y = t + -209. Solve -5 = y*s + 23 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**2 - 3*b**2 + 6*b**2 - 4*b + 2 - 7. Let k be d(-4). Sort 0, k, 4.\nAnswer: k, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 160371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 29 + 0 + (1093 - 1131)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2837 is divided by 177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, n: 1, k: 2, a: 10, h: 1, z: 5}. Give prob of sequence nzz.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*d + 8, 3*d - 4 = 8*d - u. Suppose 7*n - 16*n + 396 = d. What is the greatest common factor of n and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 582366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u**2 - 15*u - 56. Let j be -3 - (-5)\/(-10)*(-1 + 1). Let n(w) = 17*w**3 + 2*w - 1. What is the remainder when c(j) is divided by n(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 96\/1864687?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1465 + 1630. Is x a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/5)*k*(k*(k**(-4)\/k)\/k)\/k*(k\/(k\/(k\/k**(2\/9)))*k)**(11\/4))**48 assuming k is positive.\nAnswer: k**(352\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.71 and -327.\nAnswer: -559.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 6*u - 11. Suppose -5*o - 4*r + 31 = u, 3*o - 5*r - 40 = -2*o. Suppose -2*h + o*h = 120. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/2)\/((-6)\/(-8)). Which is the third smallest value? (a) v (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6748)\/28920)\/((-7)\/8)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvhvvhhhvvvvvv. Give prob of sequence hv.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*d - 5*a - 9, 0 = 3*d + a - 41. Suppose 0 + 4 = 2*y. Suppose -y*g = 3*g - 185. Calculate the remainder when g is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68*49\/833*2*(-9)\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (175\/21 + -9)*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 3. Let x = j + 12. Let t = -11 + x. What is the nearest to -0.1 in t, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 825?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 297?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 4, -1\/4, -2020, 0.19, 5, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 42\/18 - -8\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/6 and 113\/544062?\nAnswer: 544062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*l**2*w + 3426*l**2 - 241*l - 280329*w + 490 wrt l.\nAnswer: -18*l*w + 6852*l - 241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1253, 5002, 11247, 19988?\nAnswer: 31225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449 <= 3449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 5*h**2 - 13*h + 8. Calculate p(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17827 + 17829. Suppose 4*o = 6*o - 34. Solve 3*p + l = -3*b + 5, 4*p + o = 3*b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30299?\nAnswer: 41, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 39520 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 302279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -d - 6, l = 5*d + 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -2582 - 7650. List the prime factors of i.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*c - 2 = 0, 4*c = 5*b - 0*c - 10. Let l be 4\/(-5)*-5 + b. Solve 7*a = l*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129526*c**4*z**2 + 67*c**2*z**3 + c*z - 166*c - 3*z**3 + z**2 - 2314*z + 2 wrt c.\nAnswer: -1554312*c**2*z**2 + 134*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 31*k**4\/4 - k**3\/3 - 5*k**2\/2 + 4*k - 658. Let o(b) = b. Let v be o(5). Is a(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198703471 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 - (-11)\/(33\/448). Let f be (-45)\/j*(-15)\/36. Put f, 1.2, 5 in descending order.\nAnswer: 5, 1.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2 + 33*r - 46. Let s be c(9). Solve -15*y + 12*y + 3*w - 12 = 0, -2*y = 4*w + s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 + 0*q**2 - 2*q**2)*(-1 - 2 + 4) - 1966*q**2 + 288 + 114*q**2 - 288.\nAnswer: -1850*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.17 + -0.21. Let r = d + -0.02. Let i = -0.4 - r. Which is the closest to i? (a) -0.4 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.39 + -5084164.\nAnswer: -5084144.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 4 - 4)*(-6*g**2 - 3*g**2 + 1 + 4*g**2) in the form t*g**3 + i*g**2 + x*g + m and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 + -4.5. Let f = 0.5 + -0.3. Let i = f - -2.8. Sort 1, b, i in descending order.\nAnswer: i, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -53604015.4386?\nAnswer: -53604010.4386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6392277*u**5 - 6*u**4*w**3 + 61*u*w**3 - 10*u*w - 2*u - 1971*w**3 wrt u.\nAnswer: 127845540*u**3 - 72*u**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2200920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120062 + -13?\nAnswer: 120046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/4 - 24471*n**2\/2 + 199315971*n\/4 - 60104773254.\nAnswer: 3*(n - 10888)*(n - 2713)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 101, 133, 175?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.06 * -15.\nAnswer: -105.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/12 - (-2418)\/24. Let m(n) = -i - n**3 + 5*n + 37 + 30 - 4*n**2 + 35. Determine m(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 8*d**2 + 8*d + 2. Is k(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 6:47 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13520, -5, 1147 in descending order.\nAnswer: 1147, -5, -13520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t = -7*t + 2*h, -2*t = 4*h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1259399 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1266372 + 0.1264. Round n to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (1 - -10) - -19 - 31.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -206 * -0.3.\nAnswer: 61.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.035, -4, -3, 0.2, 41 in ascending order.\nAnswer: -4, -3, 0.035, 0.2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 635035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 7260850*w + 2635997136125.\nAnswer: 5*(w - 726085)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 19 = -190*s + 181*s, -2*c - 4*s = -8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42313219 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 10753 = -3*x, 0 = 1068*x - 1071*x - 3*h + 10749. What is the remainder when x is divided by 69?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(33) + 3*sqrt(3300))\/(sqrt(432)*-2)*-6*3.\nAnswer: 93*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 4:26 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((1 + 1)\/2). Suppose 4*s - s + 9 = 5*q, m = 2*s - 3*q + 5. Let d = s - 1. Calculate the remainder when 1 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 2*j**2 + 2*j + (j - 2*j - j)*(4*j - 3*j - 2*j) + 0 + 0 + 3*j**2 + (3*j + j + 0*j)*(-2 + 2 + 2*j) as u + d*j**2 + q*j and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 146*j + 747 = 1507, 5*d + j - 74 + 4 = -3*j for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/5 (b) 2\/17 (c) 1\/8 (d) 0.08 (e) -80\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**3 + 2 + c**3 - 4*c**3 + c**3 + 3*c. What is the units digit of g(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -58.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*q + 51608 = 7618. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 33. Suppose -a = -r + s*a + 8, 4 = -r + a. List the prime factors of (-4 - 38\/r)*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g + 45. Let y be c(19). Suppose 3276 = -0*u + y*u. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9799 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(3 + (-9)\/2). Suppose -3*r = 2*u - 155, -o*u + r = -4*r - 163. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28339243 is divided by 1491539?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 172 + 300 - 61 - 68.\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 116284 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3230 - 2877. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-624)*39)\/(1\/13 - (-10 - -10))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 194177.\nAnswer: 1941770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31557101 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4316 is divided by 145?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - x - 1. Let f be v(-5). Let o(w) = 95*w**2 + 2*w - 1. Let a be o(1). Let g = a - f. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 202 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 357832 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 214.\nAnswer: -21.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1375 and -47\/125.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -344\/5, 0, 6, 1\/3 in increasing order.\nAnswer: -344\/5, -1, 0, 1\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 260135 and 49477677.\nAnswer: 247388385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*6*(-2 + sqrt(2) + (sqrt(2) - (sqrt(18) + 0 + sqrt(18)) - sqrt(2))**2).\nAnswer: 24*sqrt(2) + 1680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*q + 17528 - 17063 = 0 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12995 + -181a?\nAnswer: -143b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z**2 + 50200*z - 16732 = 0 for z.\nAnswer: 1\/3, 4183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 24957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 7*j**2 - 16*j + 35. Let a be x(-9). Solve -20 = -a*w + 13*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.65 times -4.6?\nAnswer: 7.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2565 divided by -3\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - n - 92 = 0. Calculate the remainder when n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k*q**2 - k*q*z + 11*k*z - 2*q**2 + 39*q*z - 2*q wrt k?\nAnswer: -q**2 - q*z + 11*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 502 + -778. Let w be (-1)\/2 - 8\/p. Let f = w - 2\/69. Which is the third smallest value? (a) 0.3 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 3\/8, -35, 0, 4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*d - 1754 + 1418 = w, 4*w + 342 = -5*d for w.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 6, j: 1, f: 1, w: 3, z: 5}. What is prob of sequence oo?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60 - -65)*((-588)\/90 + 6).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(117) - (-1*(sqrt(117) + (sqrt(117)*-2 - sqrt(117))) - sqrt(117)) - sqrt(117))\/(-1*(2*sqrt(9) + sqrt(9))).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p**(-2\/5)))**49\/((p\/(p**1*p))\/p**(-2)) assuming p is positive.\nAnswer: p**(338\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 3*j - j. Suppose -8*y + j = -4*y. What are the prime factors of y - (1 + -1 + 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 602740 or 602733?\nAnswer: 602740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-9)*l*l)**(-41))**(-17) assuming l is positive.\nAnswer: l**(-4879)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 a, and 1 l when three letters picked without replacement from {q: 2, z: 1, a: 1, l: 5, e: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4340 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmvvmmmhfvvh. Give prob of picking 1 f and 1 v.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 2*h - h)*(-4*h + 4*h - h**3) + (5*h**3 - 2*h**3 + 2*h**3)*(101*h - 288*h + 514*h + 546*h) to o*h**2 + p + b*h**3 + y*h + t*h**4 and give t.\nAnswer: 4364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 2*z + 40 = 0, -2*w + 118 - 62 = z + 69 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 - -63.7. Let t = n - -0.3. Which is the closest to 0? (a) -0.1 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:10 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3186)\/(-96)*(-212)\/(-159)*4\/3.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y + 1524*y + 266*y.\nAnswer: 1777*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 10:58 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 280146293*y - 280146291*y - 51.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*n + 144*n - 117 = 0 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*((3 - 1) + 1). Suppose -372 = -k*q + 1533. Suppose 8*d - 3*d = q. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7051?\nAnswer: 11, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -629*w - 3721. Let g be l(0). Are -3720 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 695*n - 111*n - 49088 = -1784 for n.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.2. Let l = -0.3 + h. Let r be 1*((-7)\/3 - -2). Which is the nearest to r? (a) 1\/3 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -12) + (-7 - 6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010010000011101101 (base 2) in base 4?\nAnswer: -2102003231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from exwxxcxwxecxxxwwcee.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 869382982 to the power of 1\/2, to the nearest integer?\nAnswer: 29485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.42, 2, -7, 2\/9, -3\/2 in ascending order.\nAnswer: -7, -3\/2, -0.42, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2445*j**3 + 314*j**2 - 313*j**2 - 2584*j**3.\nAnswer: -139*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 63.239519 and -279852?\nAnswer: 279915.239519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 0*b + 30 - 2*b**3 + 16*b**2 - 2*b + 7*b. What is the hundreds digit of u(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1134, 2, 10, -4 in decreasing order.\nAnswer: 1134, 10, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -105426.197 rounded to the nearest 10?\nAnswer: -105430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0507 + 0.6507. What is the closest to d in 0.3, 2\/17, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 - 5*t + 1. Suppose -u = 5*w + 4*u - 115, 0 = w - 4*u - 8. Let v = 24 - w. What are the prime factors of g(v)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 4*b**2 + 2. Let d be v(-4). Differentiate 14 + 1 - 7*p**d - 8*p**2 wrt p.\nAnswer: -30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (134*a + 59*a**4 - 134*a)*(0 + 6 - 3) + 303 + 4*a**4 - 3*a**4 + 69 - 122 to v*a**2 + w*a**3 + o + q*a**4 + x*a and give q.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30237 and 48?\nAnswer: 483792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/12816724 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3053, -3062, -3085, -3128, -3197, -3298?\nAnswer: -3437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.333 - 2.333. Sort 2\/41, -2\/15, m, 11\/4 in decreasing order.\nAnswer: 11\/4, 2\/41, -2\/15, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p = 1177 - 143. Which is smaller: 236\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - q - 1 = 0, -3*q + 9 = 4*h - 2. Find the first derivative of 16*i**3 + 222*i**2 - 9 + 9*i**3 - 222*i**h wrt i.\nAnswer: 75*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -63*g + 131 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 947*u + 603665*u**3 - 4*u**2 - 2431*u - 2 - 603723*u**3 wrt u.\nAnswer: -348*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*j + 40, 2*j = 4*v + 6 + 4. Put j, 5, 3 in descending order.\nAnswer: 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -20*y**3\/3 - y**2 - 228*y. Let n(j) = 13*j. What is p(n(i))?\nAnswer: -520*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 240 = 6*a. Suppose 5*j + a = 5*m, j + 4*m - 39 = 2*j. Let y = 35 + j. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 158 - 148. Suppose i*z - 7 = 143. Solve o + z = -o + 5*a, -4*a + 20 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -6. Let u be x\/3*15\/10. Let f = u - -6. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + -18 + 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 14) to base 5\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13 and 1.0299658.\nAnswer: 14.0299658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 36*j**2 - 158*j - 58. Give z(3).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1669246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(1872) + -4)*2*3*-3 + -1)**2.\nAnswer: -281232*sqrt(13) + 5505841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2333 divided by 6.\nAnswer: -2333\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**4 + 0*t**4 - t**4 + (17 - 4*t - 17)*(13 - 13 + 4*t**3).\nAnswer: -13*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 1534.\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/14*(-2)\/48.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 60*y**7\/7 - 103*y**3\/3 - y**2\/2 - 333*y. What is the second derivative of p(d) wrt d?\nAnswer: 7200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.124 * 15.7\nAnswer: -1.9468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**2*s**2 + 18*o**2*s + 515*o*s**3 - o*s - s wrt s.\nAnswer: -2*o**2 + 3090*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 1:32 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10328 is divided by 370?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/2108 and 7\/22.\nAnswer: 23188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 - 38*g + 3. Give d(13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, j: 3}. What is prob of picking 3 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.547 - 66.\nAnswer: -66.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4523, 4521, 4519, 4517, 4515?\n\"Answer: -2*h + 4525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-2)*l)\/l*l**23\/l*l*l)**(13\/2))**(10\/7) assuming l is positive.\nAnswer: l**(1495\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 2088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 692032002 plus -0.66361?\nAnswer: 692032001.33639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*z = -9. Suppose -4*t - z = -7*t. Solve -t*u = -7*u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4085 + -4089.023. Let a = 0.023 + g. Put 0.1, 2, a, -0.5 in decreasing order.\nAnswer: 2, 0.1, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56427.58181 to the nearest 1000.\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 67*d - 15. Let h(k) = 45*k - 10. Let a(s) = 8*h(s) - 5*v(s). Is 35 a factor of a(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 28*l - 25. List the prime factors of k(-7).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291826628867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 11:47 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 274758 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -16*f + 126. Calculate b(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1014 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, l: 2, k: 1, s: 1}. What is prob of picking 1 k, 1 s, and 1 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 20377*v + 366978. Give n(-18).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*j**2 - 19*j**2 - 11*j**2 + 3*j - 19*j**2 - 2*j**3 to c*j**2 + n*j**3 + t*j + u and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22000*y**5 + 0*y - y + 145*y**2 - 18494*y**5 wrt y.\nAnswer: 210360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -733*i**5\/60 - 313*i**3\/6 - 194*i**2 - 6. Differentiate h(k) wrt k.\nAnswer: -1466*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.05, -3, -1.2, 1\/3, 112?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28739373 divided by 523?\nAnswer: 54951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggwgggggggggggggggg. What is prob of sequence wg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*v - 60852 - 277400, 3*v = -a + 84551. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -6*b - 23. Let s(p) = 3*p**2 + 6*p + 7. Let z(d) = d**2 + d + 1. What is b*z(c) - s(c)?\nAnswer: 2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-1 - -1)) + (0 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2133 (base 4) in base 7?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xpwwppvehxx.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -144.636 times -1\nAnswer: 144.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 321 = 41. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 13*d - 352. Let u be ((-39)\/7)\/(d\/112). Which is bigger: 19 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7557 - 30591\/4. Is j <= -91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + -5*(3*(sqrt(42)\/sqrt(3) + sqrt(14)))\/((-2*sqrt(63))\/sqrt(9))).\nAnswer: 4 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 36 = -3*o. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4754357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/186, 1, 15, -4\/9 in ascending order.\nAnswer: -4\/9, 5\/186, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1734 + -1738. What is the nearest to -0.2 in -28, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + -1*(-4 - -8). Suppose 0 = z*p + 3 - 8. Let y = -243\/4 - -61. Do p and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 239028720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 182931 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2. Let f(w) be the third derivative of -5*w**4\/24 + w**3\/2 + 2*w**2. Let m(u) = -u + 1. Let i(y) = 2*f(y) - 6*m(y). Calculate i(l(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - -37. Let t = 0 + 0.4. What is the smallest value in 5, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -2307?\nAnswer: 20\/2307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/11, -442, -1\/3, -7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*f**3\/7 - 6*f**2\/7 + 40*f\/7 + 24\/7.\nAnswer: -2*(f - 2)*(f + 2)*(5*f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32684930977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + 14 - -26) + (-1 - 9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(21\/8)\/(f\/f**(-1\/13)*f)*(f*(f*f**(4\/11)*f*f)\/f)\/(f*(f*f\/(f*f**(-1\/17)*f))\/f))**(-2\/67) assuming f is positive.\nAnswer: f**(-74931\/651508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 + -0.13. Let v = h - 97.85. Let a = 98.00099 + v. Round a to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/2)\/(-2) - (-8)\/2. Suppose t + 10 = x*t. Solve 0*b - 4*b**2 - t*b + 21*b = 0 for b.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1875 and 89625.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10664923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/174 or -1?\nAnswer: 1\/174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3589116300 rounded to the nearest 1000000?\nAnswer: -3589000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 3*i**2 + 0*i**2)*(4 - 1 - 2)*(-1 + 2*i + 1).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64631 is divided by 312.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 196*m + 193*m - 7780 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3\/5 + 2821*q**2\/5 - 48414*q\/5 - 476784\/5 = 0.\nAnswer: -2838, -7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -117946 and -117947 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -304, -463, -478, -349?\n\"Answer: 72*u**2 - 375*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-8) + 9\/4. Let b = n + -3. Suppose -3*g + j + 7 = 0, 6*g = 2*g - j. Which is smaller: b or g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6895448 is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/11 + 60\/(-33). Let s be -3*l\/(-6) - 16. Let c = 22 + s. Sort -2\/3, 3\/2, c in descending order.\nAnswer: c, 3\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, g: 11, m: 2}. Give prob of sequence mg.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k - 26*k + 2293368 = 17*k. Is 146 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 2:16 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h - 8 = f, h - 12 = 5*f. Suppose 0 = -r + 4, -q + r - 23 + 4 = 0. Calculate the least common multiple of q*(-1)\/(-3)*-1 and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i**2 - 3*i. Let y(a) = a**2. Let k(n) = -h(n) - 3*y(n). Factor k(t).\nAnswer: 3*t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2. Let d(n) = 2*n**2 - 5*n - 20. Calculate -d(y) - 4*p(y).\nAnswer: -2*y**2 + 5*y + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -264*m**7\/7 - 50*m**3\/3 + 235. Find the third derivative of i(h) wrt h.\nAnswer: -31680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 11. Let u = -184 + 183.9. What is the nearest to u in b, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -349*d + 7. Let u(w) = w + 1. Let j(z) = -4*u(z) + x(z). Let v be j(-2). Suppose v = 15*a + 94. Calculate the remainder when a is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 459, 24, 39 in increasing order.\nAnswer: 24, 39, 459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 30 = 2*d - 7*k - 2*k, -10 = -4*d - 2*k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101101011000 (base 2) to base 8.\nAnswer: 65530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k - 12. Let x(h) = 32 - 22 + 0*h - h. Is x(k) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.7036 years in millennia?\nAnswer: 0.2747036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.183 + 102.183. Let o = f - 101.99782. Round o to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209891.\nAnswer: 11, 19081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 19*u - 7. Let n(j) = -20*j + 6. Determine 5*n(w) + 4*r(w).\nAnswer: -24*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i**2 + 3*i**2 - 6*i + 6*i + 2*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.25 + 0.25. Let r = z - -10.016. What is r rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/((-550)\/4))\/((-37)\/(-370)) and -49\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 - 74. Let g be (2\/(-5))\/(8\/(-10)). Let g - v + 1\/2*v**z = 0. Calculate v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 12*p**2 - 1116*p + 5061. Give a(5).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6050694257 to the nearest integer?\nAnswer: 1822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 832.9?\nAnswer: -2498.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(11))**2*-6 + 3.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 5*z + 53, -443 + 517 = -2*l - 12*z for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/55 and -111\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 0.1, -1\/3, 18.62?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 81*n + 120. Give z(79).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n - n - 25*n**4 + 26*n**4 - 1 as x*n**3 + a*n**2 + l*n**4 + w*n + g and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-161)\/(-14) + (-2)\/4. What is the third derivative of -9*s**3 - 3*s**2 + h*s - 11*s wrt s?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3 - -6)\/(-6))\/(5\/(-220)). Let b be (-154)\/l + (-14)\/(-2). What is the nearest to b in 2\/15, -3\/8, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7478 is divided by 679.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37.1 - 37. Which is the third biggest value? (a) u (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12591, -12394, -12199, -12006?\n\"Answer: -h**2 + 200*h - 12790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -24*r + 12*r + 13*r. Let s(w) = -4*w + 5. Let d(m) = -s(m) - 3*u(m). Let f be d(6). Put f, -2, 0.5 in ascending order.\nAnswer: -2, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**2 + 13364*n - 11161440 = 0.\nAnswer: 1656, 1685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20136797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - q - q + 13 - 14. Let s be n(5). Suppose -4*u + 13 = -s. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/2509 - -7562\/17563. Sort 2\/67, -2, 0.016, d in descending order.\nAnswer: d, 2\/67, 0.016, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2420) + -1 + -2)**2.\nAnswer: -132*sqrt(5) + 2429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 + 42. Let w be (3\/(-6))\/(-3*s\/(-6)). Calculate the least common multiple of 7 and 3\/(-15) + 72\/10 + w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j + 39. Calculate the highest common factor of j and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178 + -464. Let l = 318 + z. Calculate the lowest common multiple of l and 120.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4))**46\/((w**(-4\/3)*w)\/(w**(2\/17)*w)) assuming w is positive.\nAnswer: w**(-9310\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/11*3817\/(-1388))\/((-5)\/(-2)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 143242869\/8 or 17905358?\nAnswer: 143242869\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -137.86 - -152.06. What is the third smallest value in -0.1, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -20*t. Let l(m) = 7*m**2 - 12*m. What is c(l(p))?\nAnswer: -140*p**2 + 240*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5160*b + 41378. What is m(8)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (0 + 7))\/((-6)\/3). Let i(f) = 2*f**3 - f**2 - f + 1. Let n be i(1). Let a be (-2 - -18) + -2 + n. Solve a = -l*s - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + sqrt(19)*2).\nAnswer: -6*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -169186*k**3 + 288206 wrt k?\nAnswer: -507558*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, z: 2, d: 2}. What is prob of picking 2 z and 2 d?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 1\/240*p**5 - 1\/1344*p**8 + 0*p**3 + 0*p + 0*p**4 + 1\/480*p**6 + 3*p**2 - 1\/840*p**7 + 0. Factor z(s).\nAnswer: -s**2*(s - 1)*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1570, -1667, -2010, -2749, -4034, -6015?\nAnswer: -8842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6*(-6)\/4. Let p(a) = 2 - 85*a - w + 0 + 59*a. What is p(1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -0.952\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1457 + 2920 - 1463 + 10*o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2140130 (base 5) to base 7\nAnswer: -212424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/16)\/(-3)*(-102)\/(-255)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*x**5 - 2*x**3 - 2*x - 127.\nAnswer: 900*x**3 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 + 5.65.\nAnswer: 6.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/8 - 53\/40. Let w = 26.7 - 27. What is the second biggest value in h, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.8 - -10. Let x = n + -1.21. What is x rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 622777405*x. Let j(d) = 22071*d. Calculate 169303*j(h) - 6*p(h).\nAnswer: 22083*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -32737 + k - k - k**2 + 32737. Let n(t) = 3*t**2. Calculate d(n(c)).\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-2 + 7)) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*3\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 4*m**2 + 5*m + 7. Let p(b) = 3*b - 60. Let h be p(11). Let v = 32 + h. Determine t(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2340)\/(-1430)*-99*(-8)\/8*2\/(-6)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 43149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0 - 3 + 14*s + 7*s to the form i*s + b and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 33.12095*-3\nAnswer: -99.36285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 12:41 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 66*z**2 - 176*z - 2344. Calculate the smallest common multiple of w(-64) and 520.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**2 + 0*y**2 - 3*y**2 + (-9*y + 7*y + 11*y)*(0*y + 5*y - 3*y) - 1 + 1 + y**2)*(3*y**3 - 4*y**2 - y + 4*y**2).\nAnswer: 63*y**5 - 21*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85514 - 92378 = -176*t for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2252712 by 7.\nAnswer: 321816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2. Let k(n) = 14*n**2 - 8*n**2 - 3*n**2. Determine p(k(u)).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2764268362 to the nearest integer?\nAnswer: 52576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 20 = -3*k. Let m be 3\/(((-42)\/(-8))\/k). Let t(n) = -n**2 - 10*n - 5. Let q be t(-9). Solve q*a - 5*a + m = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2808 - 2799 + 8406 - 2799 - 19*k.\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spnnnpp. Give prob of picking 1 n, 1 s, and 1 p.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -51*u - 4. Let l(p) = 102*p + 9. Let a(g) = 13*j(g) + 6*l(g). Let n be -3 - 4\/10*5. Is a(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4 + 70*x**3 - 122*x**2 - 342*x + 396 = 0.\nAnswer: -2, 1, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - v**2 + 2 + 0*v**2)*(-349 - 119 - 84)*(2 - 4 + 6) to i + l*v + c*v**2 and give c.\nAnswer: 2208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o = -24. Let l be -2 - (7 + -2 + -2). Let d = o + l. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 476 = n, -n = -3*n + 2*m + 964. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2016\/147)\/(-24)*14\/1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3299 is divided by (84\/(-15) - 1*-2)\/((-21)\/70).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4575, -4598, -4619, -4638, -4655, -4670, -4683?\nAnswer: -4694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**6\/14 - 108*o**5\/35 - 1467*o**4\/28 - 3070*o**3\/7 - 13050*o**2\/7 - 27000*o\/7 - 83. Factor t(k).\nAnswer: -3*(k + 3)**2*(k + 10)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 - 24 = -4*t, -20 = -5*z - 4*t. Suppose 0*o - j = 4*o - 14, -3*j + 6 = 0. Solve 0 = -z*h - o*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3248*u**3 + 2125*u**3 - 23 + 35 + 7509*u**3 - 12)*(-4*u**2 - 2*u**2 + 5*u**2).\nAnswer: -12882*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 3:15 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2951163867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6785969 + -0.0400442?\nAnswer: -6785969.0400442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 150 = -0*m. What is the greatest common divisor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105789 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 97*g**2 + 430679*g - 430680*g - 281*g**2 to r*g + f + u*g**2 and give u.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*n**2 + n**3 + 9485*n - 9485*n)*(2*n - 2*n + 3*n).\nAnswer: 3*n**4 + 9*n**3 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6573918 divided by -3\nAnswer: -2191306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 190047796*s**6 - 10*s**2 + 367871*s + 8 wrt s.\nAnswer: 22805735520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + 4 - 4 + (38*a - 209 - 210 + 420)*(5 + 3 - 4))*(-2*a + a + 3*a) as i*a + y + t*a**2 and give t.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 664918347 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 6:43 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26185 and -3.\nAnswer: -26188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9274746l to millilitres.\nAnswer: 927.4746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 + 0.8986. Let k = 4.0114 + a. Let i = 0.01 - k. What is the third biggest value in i, 0.1, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*q + 80*q + 124 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*n - 57*n = 3810. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 5*o - 4. Let b be s(-3). Let x = b - -6. Solve v + 4 = p, 4*v - 3*p + x = 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/12*(-6)\/(-4). Suppose -3*f - 5*h + 666 + 4066 = 0, g*f + 3*h - 7876 = 0. Suppose -6*i = -16 - f. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19206)\/(-550) + 4\/50. Solve 47 - i = 6*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 6*p**2. Let x be o(6). Suppose 4*d + 2*u + 110 = 2*d, 3*d + 163 = -5*u. Let h be d\/(-26) - 4\/26. Solve x = 2*v + h*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from usssssuussusu. What is prob of picking 1 s and 3 u?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 151424 and 637?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**3 - 3*n**2\/2 + 36*n - 3. Factor u(l).\nAnswer: -3*(l - 3)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*i*w*z + i*z - 601*i + 52*w*z + z - 8 wrt i.\nAnswer: -4*w*z + z - 601","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -413 or -555?\nAnswer: -555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) 0.89 (c) -364.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*f - 1571*f**2 - 30*f - 5*f + 48*f**4 + 14*f**5 + 21*f wrt f.\nAnswer: 840*f**2 + 1152*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 137 = 20. Let h(k) = k**3 - 13*k**2 + k - 13. Let a be h(n). Suppose 0 = -3*q + 2*x + 155, -6*q + q + 5*x + 265 = a. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 16. Suppose -15*h = -17*h + d. Differentiate 8 + h - 4 + 14*l wrt l.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2430 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 2*q. Suppose 0 = q*v + x - 14, -v - x + 6 = -0*x. Calculate the greatest common divisor of v and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrai when four letters picked without replacement from {a: 1, r: 2, k: 1, i: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 7*c - 13. Let v be d(-9). Suppose -4*r = -2*o - 2, o + 0*o - 13 = -v*r. Calculate the lowest common multiple of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 571.4 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o + o + 2*o + 11*o**2 + 30*o**2 + 4*o to the form h*o**2 + b*o + j and give h.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 5. Let y be d(6). Let j be 1\/(-2) - y\/(-26). Solve -5*x - 3*t + 18 = j, -1 = -t - 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-58 + 7 + 47) - (87 + -1).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1085 and 61635?\nAnswer: 1910685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 - ((-2 - -17) + -1771) is divided by 161.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/t**(2\/5)*t*t)*t)**(-37))**37 assuming t is positive.\nAnswer: t**(-2738\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065365 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42541 - 25922. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*q - 3*y, -3*y + 2*y = 4*q + 3. Which is bigger: 1\/4 or q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*f = -28*f - 2049 + 89 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -90608991.451 - -0.018\nAnswer: -90608991.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1.483321 millimeters?\nAnswer: 0.000001483321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-9\/5))\/(r**(-5)\/r) assuming r is positive.\nAnswer: r**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2755)\/76 + 16)\/(1292\/(-320) + 4). Solve 38*i - j = -52*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 8, -3, -1\/4 in decreasing order.\nAnswer: 8, -1\/4, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 + -25. Let j be ((-2)\/(-6))\/(2\/o). Let y(z) = -z**3 - 9*z**2 + 4. Let g be y(-9). Solve 6*u = g*u - 3*h + 2, -u + 14 = -j*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 20*q + 25. Let g be b(21). Suppose g*r - 13*r = -2826. What are the prime factors of r?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294003 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -79*j. Let u(t) = t - 10. Let d be u(9). Let m be l(d). Suppose -41 - m = -5*h. Solve -2*c + 11 = -c - 3*z, 4*z = -c - h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2338 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*c = -4*m + 883, 2*m - 5*c + 2*c = -0*c + 79 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.427 in 5\/12, -0.4, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.955645 millennia in centuries?\nAnswer: 79.55645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -29. Let i be (-2)\/3 + o\/(-6). Is i at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3540 - -3537. Which is the nearest to 742? (a) -2\/9 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126.87672 months to millennia.\nAnswer: 0.01057306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2736658 to four decimal places.\nAnswer: 0.2737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 121922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 553\/20 + -113\/4. Let n be (-5 - -4) + 0\/(-1). Let z be n\/2 + (-2)\/(-4). Is z less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3158921 - 1065.\nAnswer: 3157856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 4*b**2 + b. Let v be r(4). Suppose v*n = 5*n. Let t be (-2)\/(-6) + 5\/(-24). What is the third smallest value in n, t, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -16, p + 3*f - 2*f + 8 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 695 + -697. Is 2*((-129451)\/a)\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29506276*i**5 - 24537*i**2 - 2993*i - 1 wrt i.\nAnswer: -1770376560*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.53 + -0.41. Let l = z + -0.02. Which is the biggest value? (a) 3 (b) -0.5 (c) l (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14921833, 14921834, 14921835, 14921836, 14921837?\nAnswer: 14921838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5326 - 8584. Round j to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * 0.4.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*r - 816 = -143*r - 102 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/15)\/((-22)\/(-55))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 10*i**2 - 10*i - 11. Let c be j(-9). Let k be (3 - 2)\/(c + (-6)\/4). What is the closest to -27 in -2, -0.3, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 6. Let y be b(-7). Suppose -3*u - y = 2*k - 10, 0 = -5*u - 5*k + 10. Let x = -33 - -36. Solve -3*m - 14 = -u*f, f + 8 = -0*f - x*m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -63477\nAnswer: -1\/21159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 10*t - 664. Let d(r) = r + 22. Let k be d(-15). Suppose 0 = k*o + 96 - 243. What is the remainder when t is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**5 - 60336*q**4 + 228489680*q**3 - 7254810368*q**2 + 17932350720*q + 725000652800 = 0 for q.\nAnswer: -8, 20, 7526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/3*(-42)\/(-28).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412*b - 291*b = 56480017. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-330)\/(-360) + (-1)\/4). Let d = 6 + -4. Suppose -u*l + 1465 = d*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = -2*f. What is the remainder when 82\/(-3)*(-9)\/f is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 2*y + 6*y)*(0 + 2 + 0)*(3 - 4 + 3)*(0*y - y**3 + 0*y).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = t. What is the third derivative of o**5 + o**5 - o**2 - o**t wrt o?\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -215*s + 47 + 122*s - 36*s**2 + 110*s + 5*s**4. Let z(f) = f**4 + f - 1. Let o(h) = -d(h) + z(h). Let o(k) = 0. Calculate k.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 67\/4 of a tonne?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1287*m**2*v**2 - 2*m*v**2 - 39*m + 3*v**2 + 131058*v wrt m.\nAnswer: 2574*m*v**2 - 2*v**2 - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 132?\nAnswer: -26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23206 and 410.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 3\/9)\/(4\/(-24)). Let s(o) = 6*o - 17. Determine s(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/5 + 768432*y**2\/5 - 1229512*y + 9221376\/5 = 0. Calculate y.\nAnswer: -384224, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 163002.\nAnswer: 163002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 878808221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 + 76. Suppose j*m + 67 = 4*p - 9, 4*p - 40 = -4*m. Let r be (6\/(-14))\/1 + 62\/p. Solve -9*w + 5 = -r*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*a + 4*a. What is the lowest common multiple of 8 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 greater than or equal to -2291654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:05 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 567\/294 - (-32)\/56. Sort 4\/17, -2, 1\/2, -1\/3, q in increasing order.\nAnswer: -2, -1\/3, 4\/17, 1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9*r**3 - r**2 + 6*r - 4. Let k(d) be the second derivative of -13*d**5\/10 + d**4\/4 - 17*d**3\/6 + 11*d**2\/2 + 88*d. What is -17*a(t) - 6*k(t)?\nAnswer: 3*t**3 - t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z + 58. Let m(r) = r**2 - 125. Calculate d(m(p)).\nAnswer: -2*p**2 + 308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 246, 0.5, -6.38, -1.3, 1?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**8\/420 - 92*q**7\/525 - 481*q**6\/150 + 368*q**5\/25 - 96*q**4\/5 + 511*q**2 - q. Factor f(d).\nAnswer: -4*d*(d - 1)**2*(d + 24)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72369*x**3 + 78409*x**2 wrt x.\nAnswer: -434214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5438*o**2 - o + 3714 wrt o.\nAnswer: -10876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**4\/24 + 4*i**3\/3 - 9*i**2. Let a(z) = z**3 - 6*z**2 - 7*z. Let r be a(7). Let g be (1 - (-2)\/(-4))*r. What is q(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzddddzddzhz. What is prob of sequence dzh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5733209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**2 + 24722778*s + 50934646003107 = 0.\nAnswer: -4120463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.305 * 0.14049.\nAnswer: -0.04284945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(325) - (sqrt(325)*-3 + sqrt(325))**2) + 0.\nAnswer: -3900 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 l, and 1 x when four letters picked without replacement from {x: 3, f: 2, l: 2, p: 5}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m - 4*m**2 - 9*m)*(-3 + 7 - 2 + (0 + 1 + 1)*(1 - 1 - 1) + (4 - 1 + 0)*(3 - 2 + 2)).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/6398 + 2520807\/31990. Let k = 25012\/315 - b. Find the common denominator of k and 107\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 93?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 7:10 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*y - 28*y - 33*y - 170 - 33*y - 29*y.\nAnswer: -5*y - 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**4\/2 + 2*n**3\/3 + 2*n**2 - 87. Determine o so that f(o) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17635*o**2*x + 2*o**2 + 841*o*x - 38*o - 11751 with respect to x.\nAnswer: -17635*o**2 + 841*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3 - f - 1\/3*f**2.\nAnswer: -(f + 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z + 3. Let x be r(2). Let m = -4 - x. Suppose -3*s + m*s - 8 = 0. Solve -s*d + 15 = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(2\/13))**(20\/3))**(2\/21))**(-2\/57) assuming a is positive.\nAnswer: a**(-880\/46683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 118, -15, -168, -353, -582?\n\"Answer: -2*x**3 + 2*x**2 - 125*x + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*t - 12, -2*j = t - 0 - 9. Let l = 2 + j. Suppose -p + a = 2*a + 2, a = -l. What is p rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 14*g**2 - 14*g - 4. Let f be i(-13). Suppose -k - f = -2*d, -3*d + 77 = 2*k - 454. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 10) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1080 is divided by 388?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/2*(-2 - -4). Let s = -92 + 104. Let j(n) = s*n - 12*n + 120 - 118 - 2*n**2. Let h(c) = 4*c**2 - 5. Give p*j(z) - 2*h(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6) + 2 + 3 + -9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001341670026 rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-216)*270 + 176\/(-9)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 35 = 5*a, 4*a - 5*s + 7*s = 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -2\/5, -37, 0.03 in descending order.\nAnswer: 2\/5, 0.03, -2\/5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 111 (b) -6 (c) -0.2 (d) 144 (e) -5 (f) -3 (g) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277377, -554931, -832489, -1110051, -1387617, -1665187, -1942761?\nAnswer: -2220339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 5)*((3 + 2 - 6)*(4 - 4 + w) + 394 - 394 - 38*w).\nAnswer: 117*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*u - 69. Suppose 0 = -p + 3*i + u, 0*p + 9 = 3*p + 3*i. Let z = p + -4. Solve -z*j + j = -12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1340 <= -1344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, l: 14, d: 5}. What is prob of sequence llll?\nAnswer: 1001\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*i**2 + 80*i**2 - 298*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 35866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)*j*j**(1\/3)*j**(-2\/7)*((j*j**(3\/4)*j)\/j)\/j*j)**(-4) assuming j is positive.\nAnswer: j**(101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/28*150\/100\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21\/1157 + -3387\/4628. Let z = -17 - -18.1. Let m = -197 - -1381\/7. Sort m, p, z, 2\/5 in increasing order.\nAnswer: p, m, 2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 21*j - 1. Is 14 a factor of q(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 8) to base 10.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 0 - 21 + 3*z + 2*z**3.\nAnswer: 2*z**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -37*u + 226. Let x be q(6). Let h be x\/6 + 51\/(-36). Which is the second biggest value? (a) h (b) -4 (c) 1\/4 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6160036.\nAnswer: 2, 1540009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**2 - 4*n - 4. Let u be m(-1). Let z be (-2)\/4*464\/(u - 14). What is the third derivative of -z*q**4 - 2*q + 532*q**2 - 506*q**2 + 2*q wrt q?\nAnswer: -696*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, n: 7, b: 1}. Give prob of sequence ndb.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 20590*s + 26559792.\nAnswer: 2*(s + 1512)*(s + 8783)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b5dc0 - 2?\nAnswer: -2b5dc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -16 + 14*v**2 - 23*v**2 - v**3 - 36 + 35*v**2 + 18*v. Is f(26) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*h - 3*l + 3, 0 = -h - l - 3. Let g = h - -1. Suppose -4*x = -g*x - 30. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13873\/3 and -12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-1 - (-52)\/(-33)). Let z = o - -1\/11. What is the nearest to 0.1 in 0, 3, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-226)\/(-3)*2*205\/((-86920)\/318)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 920.059t?\nAnswer: 920059000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -14*j**2 + 11*j - 1. Let b(q) = -1. Let f(w) = -2*b(w) - y(w). Let v(t) = 5*t**2 - 4*t + 1. Give 4*f(h) - 11*v(h).\nAnswer: h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3. Let w be d(1). Let j be 1 - 1 - (w - 0). Suppose 5*k = -4*x + 7, -j*x + 11 = 7*k - 2*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7*q = -12. Sort -3, q, 1.\nAnswer: -3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131807144?\nAnswer: 2, 7, 2353699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**5\/20 - n**4\/4 + n**3\/2 + 3*n**2\/2 - 5*n. Let h be t(-4). Suppose p - h + 4 = 0. Solve 4*b = b + p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1504369?\nAnswer: 113, 13313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -58*k - 58*k - 80*k**5 + 350*k**2 + 122*k**4 + 78*k**5 - 354*k**3 = 0?\nAnswer: 0, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 3*a = 56. Let c = 310 - 657\/2. Let z = c + 19. What is the second biggest value in z, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 6 + 21. Which is the fourth smallest value? (a) -1 (b) s (c) 1\/5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530296 divided by 2?\nAnswer: 265148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 + -110. Determine l so that 100*l**2 - r*l**3 + 0*l**3 - 882*l + 576 + 210*l = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*s, 3*u + 2*s = s + 5. Let h(v) = 2*v - 2. Let w be h(u). Which is bigger: w or 13\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 - 49*c - 192. Give q(31).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, 9, 40, 71?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2946224 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.257 + -132.743. Let q = l + 132.9919. Round q to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997768 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14621*p - 100 = 14571*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.49 * 187.1.\nAnswer: -652.979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11078 at most as big as 11165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 1)\/((-6)\/(-9)). Let k be 184\/(-12) + (-1)\/a. Let b = k + 52. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78*w - 14*w**2 - 7*w**3 - 79*w - 36*w**3 wrt w.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -15, -2\/7, 2\/27, 0?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t + 2. Let w be n(6). Suppose -44*v = -43*v - 7. Suppose -v*h + 18*h = 880. Calculate the greatest common factor of h and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*w + 148 - 61 = -437 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1544695951.\nAnswer: 41, 71, 530641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 0*g**2 + 11\/3*g**3 + 0*g**4 - 1\/20*g**5 + 0 + 0*g**6 + 6*g + 1\/6*g**7. Find the second derivative of r(h) wrt h.\nAnswer: 140*h**3 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034076164 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.77794374 - -131489?\nAnswer: 131494.77794374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*v**3 + 1618*v**2 wrt v?\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10539 is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0. Let d = -7.978 + 0.078. Let x = -0.9 - d. Which is greater: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 4 = -14*x. What is the tens digit of 860\/30*x\/(-4)*18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9809*l**4 - l**2 - 52*l + 2 wrt l.\nAnswer: 235416*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20580 is divided by 5136.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-14)*(-14)\/(-4). Is g <= 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000227896061 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*l + 503 = -3*o - 4*o + 3*o - 701, -5*o + 7 = 2*l for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 - 3.89. Let x = 2.2 + -12.5. Let y = 10 + x. Which is smaller: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 5, -4, -25, -64, -127?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*l + 5. Let z = 1039.7 - 1102. Let x = z - -62. Sort x, l, -1 in decreasing order.\nAnswer: l, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (204\/(-238))\/(((-6)\/28)\/3*30)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44.9 - 48. Let i = v - -1.1. What is the third biggest value in 0.3, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 * -31921.6\nAnswer: 4788.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - 2821104b?\nAnswer: -28211061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/63 and 23\/2436?\nAnswer: 7308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 12:43 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 2*t**2 + 3*t + 4. Let x be u(-3). Which is the smallest value? (a) x (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3827990 + 3827988 - 248*f - 7655979.\nAnswer: -248*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(0\/(-2))\/1. Suppose 83 = -2*y - 1. Find the common denominator of p\/(-14) + y\/(-44) and 51\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j = -41*j + 24871. Let c = j - 463. What are the prime factors of c?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 - 1?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/1008*154\/(-385)?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(468)*2 - sqrt(468) - (5*(sqrt(468) + 0) + sqrt(468) - sqrt(468)))**2 - (sqrt(468) + sqrt(468)*-3 + 5)*-5.\nAnswer: -60*sqrt(13) + 119833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14560 and 548873.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4913310.81 to the nearest 10000.\nAnswer: 4910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3949077 + 59923. What is s rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(6*(sqrt(252) + -2*sqrt(252) + 4 - (sqrt(252) - ((-2*sqrt(252) - sqrt(252)) + sqrt(252)))*1) + 2))**2.\nAnswer: -7200*sqrt(7) + 145777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1708\/(-3430))\/(-61)*-5\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**4\/12 - 5*a**3\/3 - 3*a**2 + 2*a. What is the units digit of m(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/49445 and 83\/29667?\nAnswer: 148335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is a6 (base 11) in base 2?\nAnswer: 1110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = 26*s - 24*s. Let v = 184 + s. Calculate the lowest common multiple of 10 and v.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*x - 8640 = 139*x + 64*x for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 9 = j, h + 8 = 4*j + 3*h. Suppose 4*b - 63 = -k + 6*k, j*b + 5*k = 56. Let v be 11\/5 - 7\/35. Solve 4 + 7 = -5*t + v*z, 2*t = 5*z - b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 7)*((-2 + 2 + 3)*(1 + 1 - 3) + (4 - 2 + 0)*(-3 + 4 + 0) + 3 - 3 + 2 + 2 - 2 + 2)*(-5*z + 5 - 5).\nAnswer: 105*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.8, 4, 11, -1\/218, 3\/7, 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eoo when three letters picked without replacement from eeoeooo.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 174 + -70. Let n = 627 + -612. What is the remainder when x is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghplhgqppp. Give prob of sequence hgl.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(5*(-112)\/(-80)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5872083336?\nAnswer: 2, 3, 7, 83, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 10. Let r(i) = 2*i**2 - 2*i - 1. Let k be r(2). Suppose -2*y - 2 = -k*y. Which is smaller: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 254, 351, 442, 521, 582, 619?\n\"Answer: -n**3 + 3*n**2 + 95*n + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-7)\/10))\/((-2)\/(-1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(135) - 4*3*sqrt(135))\/sqrt(3))**2.\nAnswer: 136125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 1969?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2489 + 604*t**2 - 4979 + 2490 - 813*t**3 wrt t.\nAnswer: -4878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 863084 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/((-1)\/(-1)))\/7. Let s = 0 + 0.2. Let m be 1 + 1 - 48\/27. Which is the nearest to s? (a) -0.4 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 345571464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280120 + 97880 = -14*b. Round b to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32*(-6)\/108)\/(-6*(-5)\/(-135))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 5 - -19) + -3 + (-9 - -5)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, 0.1, -1\/2, 7, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*(-3*sqrt(128)*-2 - (sqrt(128)*-1*-5 + sqrt(128))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + -3*sqrt(272) - sqrt(272))**2 - (2 + sqrt(272) + -3 + 1 + (sqrt(272) - (-2 + sqrt(272) + sqrt(272))) + sqrt(272))**2.\nAnswer: 48*sqrt(17) + 4080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) 1 (c) 8 (d) -7 (e) 0.012\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 46, 102, 158, 214, 270, 326?\n\"Answer: 56*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a. Let g be ((-3)\/((-12)\/20))\/(5 + -6). Let z(j) = 21*j + 10. Let u(v) = -v + 2. Let n(o) = g*u(o) + z(o). What is n(c(h))?\nAnswer: -52*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = u - 7*y, -642*u + 647*u + 80 = 5*y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/(-14)*(-1618)\/2427*14\/4\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82061177851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**6\/3 + 9*n**5\/5 + 11*n**3\/3 - 49. What is the third derivative of b(c) wrt c?\nAnswer: -120*c**2 + 216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7288*f + 7304*f - 1734352. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = p + 1932. Suppose -1 = z, 3*y - p = y + 4*z. Suppose 3*a = 6*a - y. List the prime factors of a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -448 - -452. Calculate the greatest common factor of q and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - 2*d**2 + 7*d + 1. Let k(z) = 2*z**3 + 2*z**2 - 8*z - 1. Let i(r) = -5*k(r) - 6*o(r). Let g(c) = -8*c - 226. Let w be g(-28). What is i(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/633 (b) -1 (c) 2\/9 (d) 30 (e) 0.1 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - q)*(-2*q**2 + 0*q**2 - q**2) + (q**2 + 3*q**2 - 6*q**2)*(-17*q + 170 - 2*q - 172).\nAnswer: 41*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - a + 3. Let w be (1 + 0)\/(36\/144). Determine t(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 11*h**2 - 11*h + 15. Let o be k(10). What is the greatest common factor of 85 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 235, 937, 2111, 3757, 5875, 8465, 11527?\n\"Answer: 236*x**2 - 6*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/3*(-24)\/(-20). Suppose 24 = v - 5*a, 3*v - 36 = v + s*a. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 18 - 14 = 0. Is 2\/(-2 + b\/(-14)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2363 and 38216.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/19 or -23920?\nAnswer: -23920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 6:27 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1577, -1524, -1453, -1364?\n\"Answer: 9*b**2 + 26*b - 1612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641503.\nAnswer: 47, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7880*k**4 - 224*k**3 - 38*k - 201570.\nAnswer: 94560*k**2 - 1344*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 6*s - 183 + 179.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3099003, 6197996, 9296987, 12395976?\n\"Answer: -y**2 + 3098996*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 684b - -2613?\nAnswer: 8e5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 289907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57630 (base 10) to base 12.\nAnswer: -29426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 9) to base 15.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - 2321320?\nAnswer: -2321213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7597568?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 76 = -5*x, x - 122 + 134 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/49 + 12\/42.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, x: 3, c: 1, n: 2, f: 1, t: 3}. What is prob of sequence xxxc?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -7. Suppose -g*n - 11 = -2*j, 5*n - 4 = 1. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 246 + -247. Let g = -1\/118 - 467\/590. Which is bigger: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1077*a*m**5 + a*m**2 - a*m - 3*a - 2*m**5 - 771*m - 14 wrt m.\nAnswer: 21540*a*m**3 + 2*a - 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 746775788 to the nearest 10000.\nAnswer: 746780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -5 (c) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(252)*-1)*-3)**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d*j*t**2 + 8839*d*j*t + 26*d*t**2 + 73*j*t**2 - 2*t**2 + 9*t wrt t?\nAnswer: 8*d*j + 52*d + 146*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42212 (base 10) to base 3.\nAnswer: 2010220102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubid when four letters picked without replacement from dbiubuv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 0*x**3 - 15\/4*x**4 + 0*x**6 + 0*x**2 - 15*x - 5\/42*x**7 + 1\/28*x**8 + 0*x**5 + 0. Find the third derivative of g(s) wrt s.\nAnswer: 240*s**3 - 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2585 minus 0.07?\nAnswer: -2585.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 7*q - 3. Suppose -4*j = 3*l - 0*l - 4, -5*l - 3 = -3*j. Suppose -h + 2*n + 5 = -j, -2*h + 2*n = -14. Is g(h) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 332982, 665937, 998892, 1331847, 1664802?\n\"Answer: 332955*r + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 298 (b) -2 (c) -20\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -57.9767.\nAnswer: -4.638136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.604949l?\nAnswer: 3604.949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 11*k + 4*k)*(-29533 + 1392*k**2 + 29533).\nAnswer: 16704*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -8*u**3\/3 + 4*u. Let w(n) = -n**2. Calculate z(w(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 15 - 25\/3*u**3 + 0*u - 35\/2*u**2. What is the second derivative of y(g) wrt g?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2570*o + 1370*o + 1430*o.\nAnswer: 230*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtj when three letters picked without replacement from jhhthhjyyj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -17.17. What is n rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -a?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1757574 divided by -4329.\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3\/4 - 39*q**2\/4 - 327*q\/4 - 285\/4 = 0. What is q?\nAnswer: -5, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w + 6*w - 47 = -2*q + q, -7*w - 1 = 4*q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 519? (a) -5 (b) 0 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a + 1 + 80*a**2 + 75*a**3 + 79*a**2 + 77*a**2 - 292*a**2 + 54*a**2 to the form l + k*a**2 + n*a**3 + z*a and give n.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477907407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 257000 equal to 257001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31281 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.048 (b) -0.01 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-30))\/(0 + 3\/(-27)). Let q = 2.9 + -3. What is the nearest to q in -1\/3, v, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v = t - 73, 0 = -3*t - 15. Suppose -4*y + v = l + 7, 163 = 5*l + 3*y. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 2\/9, 8\/333, -56?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -3*x - 10, -k + 38*x - 35*x + 13 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 + 2 - 2 - n**4 + 0*n**4 - n**4 - n**4 - 3*n**4 + 3*n**4 + (-3*n + 4*n + n)*(-3*n**2 - 2*n**3 + 3*n**2) - n**2 - 3*n**4 - n**2 - n**4.\nAnswer: -9*n**4 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**4 - 158708*t**3 + 23243040*t**2 + 23719184*t - 46803520 = 0.\nAnswer: -2, 1, 148, 39530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 + 4273753?\nAnswer: 4273782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-162)\/90*3*(-4)\/54. Let c(j) be the first derivative of -2\/3*j**3 + 4*j - 3*j**2 + 3\/2*j**4 + 4 - f*j**5. Determine y so that c(y) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316, -1235, -2756, -4879?\nAnswer: -7604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36655157 (base 8) in base 16?\nAnswer: 7b5a6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5967.34 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8.9 + -41807.50049\nAnswer: -41798.60049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l**2. Let q(x) = 9*x. Calculate q(k(t)).\nAnswer: 63*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2738*n**2 + 66 + 4 + 5488*n**2 - 2741*n**2 + 18 in the form v*n**2 + i + g*n and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2549983.4360326 + -3861852.5639638. Let o = 6411834 + h. Let n = 2 + o. Round n to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 688\/1204*2\/(-4). Which is the second biggest value? (a) l (b) 5 (c) 3 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 62\/10 + 1\/(-5). Solve -6 = 3*l + a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 0.9 (c) 27\/2 (d) 0.1 (e) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 312*b + 641. What is the thousands digit of m(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -143 - -251. Let d be 6170\/18 + 24\/q. Suppose d + 92 = 5*c. What are the prime factors of c?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 160 - 160. Suppose h = 14*p - 21*p + 203. What are the prime factors of p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 463 or 512?\nAnswer: 463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 31392 divided by -12\nAnswer: -2616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4606 divided by 1.\nAnswer: 4606","meta":{"dup_signals":{},"source":"arithmetic__div_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: Rearrange (-6*v**2 + 3*v**2 + v**2)*(2*v - v - 2*v - 68 + 78*v + 68 + (-3 - 1 + 2)*(5*v - 3*v + 0*v)) to f + g*v**2 + d*v + r*v**3 and give r.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 7992*p + 47844.\nAnswer: 3*(p - 2658)*(p - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -448000 - -361.01\nAnswer: -447638.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2910, 5, -5, 39, 4 in decreasing order.\nAnswer: 39, 5, 4, 3, -5, -2910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 + 49*b**2 - 246*b - 375. Give h(11).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4425*y - 4402*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/((-2349)\/(-54))*3\/(-29)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -1, -2\/5, 3\/7, -24, -1\/8, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 7461747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5592 divided by -2.\nAnswer: -2796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*h - 221*h + 7923 = 229*h for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-2)\/(6\/9). Suppose 4*m + 0 = -4*h + 4, -3*m + 3*h = -3. Calculate the highest common factor of m and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (28\/(-588)*-3)\/((-2)\/4). Which is smaller: 1\/3011 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/18 of a week?\nAnswer: 3920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.4 or 546?\nAnswer: 546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1 = -33. Let h = r - -53. What is the remainder when h is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49 or -182?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/17)\/l)\/(l\/l**(3\/7)))**(-29) assuming l is positive.\nAnswer: l**(5220\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 2. Let k(l) = 6*l + 10. What is 2*k(c) - 11*m(c)?\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*g + 168 = 66*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**4\/12 - 2*w**3\/3 + 2*w. Suppose o - 2*f = 3, -3*o + o + 6 = 3*f. Calculate the least common multiple of o and g(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 348.2502 centuries?\nAnswer: 3482.502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1327281038 to four dps.\nAnswer: -0.1327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/2, -1\/9, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 387390?\nAnswer: 387392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 smaller than 10\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**5\/15 - 368*u**4\/3 + 1414048*u**3\/15 - 8439968*u**2\/15 + 16850336*u\/15 - 2244736\/3 = 0.\nAnswer: -1420, 2, 494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3964037923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 17 = -4*h - 5*r + 1, 31*h - 254 = 3*r for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 31 = 7*m - 2*y - 7, 220 = -46*m - 5*y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20810 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1428562*c**3*q - 83233*c**3 - 2*c**2*q - c*q - 36*q + 911 with respect to q.\nAnswer: 1428562*c**3 - 2*c**2 - c - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -431.951 + 431. Let j = z - 0.049. Put 2\/13, j, -4 in descending order.\nAnswer: 2\/13, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 232 + 30. Let m = n + 36. Is 15 a factor of m\/(3\/((-3)\/(-2)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -95?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 63\/35 + 1\/5. Suppose 4*d + j = 10, -5*t + 2*d + 11 = 0. Find the second derivative of k**5 + t*k - 9*k + 5*k**5 wrt k.\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s + 0*s - 3*s)*(2*s - 4*s + 3*s) + (s + s - s)*(-7*s + 6 - 6).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(3\/7)*(s\/(s*s*(s\/(s*s**(6\/11)))\/s))\/s assuming s is positive.\nAnswer: s**(-2\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7420*b - 480344 = 399697 - 19321 for b.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7385057839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 0 - 131\/24*q**4 + 7\/6*q**3 + 0*q + 20*q**2. Is a(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -15*y**2 + 3*y. Let h be c(2). Does 19 divide 1 - h\/((-6)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 200932 divided by 2?\nAnswer: 100466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times -21.0773\nAnswer: 12.64638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -901*m - 178. Let a(g) = 450*g + 88. Let x(s) = -5*a(s) - 3*n(s). Is x(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 858 + 96 = 73*z - 360 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3199.616cm to kilometers.\nAnswer: 0.03199616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14 + 2*(-1)\/(-2). Let l be (-388)\/(-5) + v\/(-25). List the prime factors of (1 + -3)*l\/(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 8833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8*w + 4. Is 22 a factor of a(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**3 + 36*s - 21*s - 15*s.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 310 and 10850.\nAnswer: 10850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1010*s. Let b(l) = -28214*l**2. Give b(i(h)).\nAnswer: -28781101400*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -149079*b**4 + 149059*b**4 + 48*b**3 + 11*b**2 + 33*b**2 - 24*b.\nAnswer: -4*b*(b - 3)*(b + 1)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + sqrt(44)\/(sqrt(4)*-4 - sqrt(4)).\nAnswer: -sqrt(11)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2843506?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74 (base 10) to base 16.\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257 = -61*a - 74 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 250, 223, 192, 169, 166?\n\"Answer: 2*b**3 - 14*b**2 + b + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/5)\/((-1)\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -52 from 1372.\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10283?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 48. Is s a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -30*d**5 - 965*d**4 - 7695*d**3 - 460*d**2 + 6300*d = 0.\nAnswer: -18, -14, -1, 0, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5*-30\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12874 = -7*x + 78154. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -41468434?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*14\/(-8) - 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zcarrrrprzcrz. Give prob of picking 2 z and 2 c.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 9. Let r be s(-3). Suppose r*c = c. Suppose p + d - 2 = 0, c = 3*p + 2*d - 4*d + 4. Solve p = 4*g + a + 1 - 0, -3*a + 6 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*i + 9904, 87*i = 88*i - 3. What is the thousands digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (176\/(-28) + -4)*(-21)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88097 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 625.166 meters to centimeters.\nAnswer: 62516.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -502664 by -26456.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 + 43 + 55*j**2 + 24 - 31*j**2 - 29*j**2 to f*j + i*j**3 + h*j**2 + c and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.05, -1\/14, 0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5394 divided by -5409\nAnswer: -1798\/1803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + o = 109, -3*o + 0*o + 75 = 3*c. Suppose -4*f + 2*f + 4*j = -c, -5*j = 2*f - 10. Suppose -f = -v + 37. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 36 - 146 = 0. Let g be ((-26902428)\/2842)\/(1 + w\/14). Let c = g + -16566. Calculate the common denominator of -65\/2 and c.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 12:23 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*r + 192*r - 98 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -257*l**4\/12 - 29*l**3\/6 - 75*l**2 + 3*l. Differentiate a(o) wrt o.\nAnswer: -514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/7)\/(5*(-28)\/(-490)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, y: 4, t: 5, s: 1}. What is prob of sequence tty?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 133467187507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*h**2 + 47*h**2 - 104*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*5*(-1 + ((4 + sqrt(637) + (-1 + sqrt(637) - sqrt(637)) - (sqrt(637) + sqrt(637) + 1 + 3))*-2)**2)*1.\nAnswer: -38265 - 840*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + sqrt(242) + 0 + sqrt(242) + -5 + (-1*(sqrt(6)\/sqrt(3) + sqrt(2)) - (-1 + (sqrt(8)\/sqrt(4))**2)).\nAnswer: -6 + 31*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (2 + (-2 - 3)). Let c(w) = -748*w**3 - 3*w - 5. Let a(l) = 374*l**3 + l + 2. Let v(o) = j*a(o) + 2*c(o). Is v(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 107487, -3.9, -1?\nAnswer: 107487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 23*r - 11. Let h(x) = 44*x**3 - 5*x**2 + 8*x - 12. Let n(m) = m**2 - m - 5. Let f(d) = r*n(d) - h(d). What is the second derivative of f(o) wrt o?\nAnswer: -264*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u + 19. Let k(s) = s + 6. Let p(q) = -4*d(q) + 11*k(q). Let w be p(-11). Let f = 49 + -47. What is the closest to w in 0.5, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -239337 divided by -1\nAnswer: 239337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/6 - (-35)\/14. Sort 2, x, -3, 1 in ascending order.\nAnswer: -3, 1, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjgzssgqzqfgfsjf. Give prob of sequence fjqz.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -10*p**2\/3 - 53802*p + 64564\/3 = 0.\nAnswer: -16141, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2181105 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/6)\/((-3)\/18). Suppose -g*p + 6 + 67 = -w, 2*w - 44 = -2*p. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2896*n - 1455*n + 0*n**3 + 2*n**3 - 1444*n + 4*n**3 + 45 to x + j*n + a*n**2 + i*n**3 and give x.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quzmosm. Give prob of sequence quo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/2587 - 230083\/103480. Find the common denominator of -143\/12 and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = -j + 11*l + 456, 2160 = 5*j - 5*l. What is the remainder when j is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447429 is divided by 223707.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x - 2. Suppose -8*w + 4*w - 16 = 0. Suppose -q + 2*s = -s + 9, 3*q - 3 = -s. Let i(n) = -7 + 7 + q - 3 - 5*n. Give w*l(a) + 3*i(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 290 and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103455552 (base 6) in base 13?\nAnswer: 500ba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2. Let j(m) = 8198*m**2. Determine t(j(l)).\nAnswer: 201621612*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -45. Solve 42\/5*r**3 + 8\/5*r + 0 - 10*r**5 + 8*r**4 - a*r**2 = 0 for r.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 51, 1, -9388?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 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: Suppose 6*r - r = 0. Let q(f) = -f**2 + 3*f + 6. Let z be q(4). Let v = 4 + 0. Solve -v*x - 5*a = 15, -x = -r*x + z*a + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5500 + 13041?\nAnswer: 22541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7177, 0.5, -30\/19?\nAnswer: -30\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g + 50. Let x(v) = 5*v - 101. Let d(c) = 11*f(c) + 6*x(c). Let j be d(-21). Solve j*y + 15 = 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2)*h**(1\/2))**(-41) assuming h is positive.\nAnswer: h**(-287\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2311\/(-117861))\/(2\/(-1938)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -19*y - 93. Let g be s(-5). List the prime factors of 8 + -9 - -613*g\/2.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1361)\/59 + 5060\/(-4620)*-21\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82584554?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 1 - -5 - 0. Suppose y + i = 6*y. Let q = 5 + -14\/3. Which is greater: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*m + 20687*m**2 - 41379*m**2 + 20694*m**2.\nAnswer: 2*m**2 + 258*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90958721?\nAnswer: 7, 17, 23, 167, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 113 - 112.9937. What is m rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**2 - 4*k**2 + 8*k**2 + (-2*k - 2*k + 3*k)*(0*k + 2*k + 0*k) + 48*k - 48*k + 34*k**2 + (-9 + 9 - 11*k)*(-3*k + 2*k + 2*k) + 0*k**2 + 0*k**2 - 2*k**2.\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**4 + 2*i**3 - i + 2. Let p(z) = 390*z**4 - 12*z**3 + 6*z + 1388. Let l(u) = 6*m(u) + p(u). What is the derivative of l(h) wrt h?\nAnswer: 1608*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13\/3 + -4. Which is the closest to 0? (a) -0.4 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 28*l**2 + l. Let i be t(-2). Is i\/20 + 2\/(-4) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2758.\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 443 = -11*z + 49*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 2)*(-1 + 1 + 4)*(0*p - p + 2*p) + (-2 + 0 + 1)*(p + 2 - 2) as k*p + i and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.0918651 hours?\nAnswer: 330714360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1114 + 2327. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i - 15, -4*f + i + 527 = 0. What is the tens digit of (570\/f)\/((-2)\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -9*h + 884. Let x = -259 - h. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -0.196 (b) -30 (c) -4 (d) 0.3 (e) -3\/2 (f) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 174345657 to the power of 1\/2, to the nearest integer?\nAnswer: 13204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6830 = -49*o + 6389 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 29*q**2 + 24*q + 6. Let j(b) = -6*b**2 - 4*b - 1. Let m(x) = -6*j(x) - n(x). Let a(z) = -z**2 - 59*z**2 - 7*z**2. Give m(a(f)).\nAnswer: 31423*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 12. Let z be f(-9). Let r(t) = 0*t**3 - 3*t - 4*t**2 - 4*t**z + t**3 + 2 + 2*t**3. What is the units digit of r(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 3)*(-1 - 2 + 2) + (-3 + 4 - 2)*(-7 - 6 - 4))*(-3*t + t - 2*t).\nAnswer: -72*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -3*n**2 + 2 + 0 - 4 - 3*n. What is the remainder when p(-5) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2744*r - 2739*r = 2347465, -5*r - 939042 = -2*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 120822 or 120811?\nAnswer: 120822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pupxxhhupppppp. Give prob of picking 4 p.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7452*x**2 + 74509*x + 111. What is m(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 320*v**2 + 9. Let u(j) = -3. Give h(i) + 3*u(i).\nAnswer: 320*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 7929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 6 = 0, 802902 - 802893 = -m - 4*r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) -2\/17 (c) 49.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 12 = 0, -5*m - 197 = -4*s + 283. Does 25 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -35. Suppose -17 = -4*n - 1, 0 = 5*l - g*n - 263. Suppose t = l + 42. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 + 15*v**2 + 14*v - 45. Let a be l(8). Let o(m) = -m**2 + m + 3. Let i be o(0). Let g be (-6)\/(-3) - i\/(-1). Solve a = -s + g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5529019427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -1117046, 0.1?\nAnswer: -1117046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 594523 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 156 + 26\/9*q**3 - 4\/45*q**5 - 32\/9*q - 10\/9*q**2 - 11\/18*q**4. Solve u(i) = 0 for i.\nAnswer: -8, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) - 3*(sqrt(4000) - sqrt(40))) + sqrt(40))\/(sqrt(800)*2).\nAnswer: -5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 267. Let y(u) = -u - 268. Let v(k) = -5*a(k) + 4*y(k). Let b be v(0). Find the second derivative of 247*t - b*t + 4*t**2 - 17*t**2 wrt t.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 15 = 3*x. Let g(n) = 75*n + 1. Let t be g(0). Sort -11, x, t.\nAnswer: -11, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 0.1891.\nAnswer: 0.005673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 3, -95, 4, -1, 419 in ascending order.\nAnswer: -95, -35, -1, 3, 4, 419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 10:56 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28846.\nAnswer: 2, 14423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-4\/7)*i)**(-31)*(i*((i**1\/i)\/i)\/i)**(-1\/20) assuming i is positive.\nAnswer: i**(-6193\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**3 + 329665*v**2 - 1318720*v + 1318740 = 0. What is v?\nAnswer: -65937, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 0. Suppose 0 = 10*n - 33*n. Suppose -c + 4 + o = n, 0 = -3*i - c - 929995. What is i rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 30 = -3*q. Suppose -2*y + q*y = 27. Solve 5*b + 4*u = 25, -b + 3*u - y = u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*o + 5308 = 0, o - 386 = -h + 678. Round h to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66475?\nAnswer: 5, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 444528.\nAnswer: 444528.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 991 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g + 2. Suppose 0 = -7*d + 2*d + 2*z + 3030, 4*d - 2424 = 5*z. Let v = -599 + d. Calculate a(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**6\/15 + 2*l**5\/5 + 2*l**4\/5 + 192. Factor m(b).\nAnswer: 2*b**3*(b + 1)*(b + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = 26*j - 7*j - 355. Solve 0 = -j*t - 44 + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2643207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - 170\/(-20))*(6 - (0 - 0)). Suppose 0 = -5*r - 3*v - 2, -3*r + 6*v + 26 = v. Solve -r*i + 5 = z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 0*u + n - 838, 5*n = 5. What is the greatest common divisor of 155 and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15035.4 rounded to the nearest 100?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q - 2 = 0. Is (-1 - q)\/((-3)\/(-66)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 5:22 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6 - 3 = 0. What is the third derivative of -3*t**g + 12*t**2 + 11*t**2 - 17*t**2 wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r - 1. Let t be d(2). Suppose t*s + 20 = 11*s. Suppose -2*o + 2*m + 10 = 0, -3*o + 5*m + 19 = -0*m. Solve -o*l = -2*l + s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 2 (b) 5 (c) 0.17 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a + 10*a - 6*a - 9*a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74540487907726 + 2.\nAnswer: 74540487907728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 480454369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - 32 - 3 - -22.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + 5*q - 2*q + (4 + 2 - 7)*(-q - 2*q + q) + 125 - 125 - 3*q)*(-q - 2*q + 0*q) to the form v*q**2 + s + t*q and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(15)\/sqrt(5) + sqrt(33)\/(sqrt(11)*3) + (-4 + (sqrt(363) - (sqrt(363) + 0)) + sqrt(3) + sqrt(6)\/sqrt(2)*2)**2.\nAnswer: -68*sqrt(3)\/3 + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*j, -4*i - 4*j = -14 + 2. Solve 0 = -a + a + i*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*r, -4*r - 174 = 2*l - 682. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 1 + 2)*(-5*t + 5*t - 2*t)*(-315 + 285 - 123 - 1137).\nAnswer: -15480*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/15 - (-312)\/20 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 11*u**2 + 19*u + 113. Let c(m) = -4*m**2 - 6*m - 38. Let i(b) = 17*c(b) + 6*w(b). Find h such that i(h) = 0.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -43 + 2*w + 64 - w. What is the units digit of d(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6901139\/22 + -3504878\/11. Let w = 4938 + h. What is the common denominator of (-4)\/(-6) + 38\/(-36) and w?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 10*a**2 + 7*a + 8. Let b be x(9). What are the prime factors of ((-12)\/(-10))\/((-2)\/b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6 + 0 + 45*a**3 + 119*a**2 + 277*a - 44*a**3.\nAnswer: a**3 + 119*a**2 + 277*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3041*h**2 - 3*h + 159. Let j(n) = -3077490*n**2 + 3035*n - 160855. Calculate -6070*f(r) - 6*j(r).\nAnswer: 6070*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -18*v - 90. Let y be m(-5). Suppose 241*w - 245*w + 16 = y. Solve -w = -7*j + 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a meter in millimeters?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 26) + (297 - 11 - 269)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/13, 1\/13, 3\/5 in ascending order.\nAnswer: -1\/13, 1\/13, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22899 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: Calculate the least common multiple of 12 and 413913.\nAnswer: 1655652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5 + l**3 + 6*l - 4*l - 3*l**3. Let k be ((-3)\/6)\/(14\/(-2716)). Suppose -k = -5*u - 72. Let b(h) = -4*h**3 + 5*h - 11. Determine u*d(i) - 2*b(i).\nAnswer: -2*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7*4\/10)\/(10115\/14450). Let v(u) = -u + 1. Let r be v(1). Suppose 0 = -r*n - 3*n. Put -2, -1, n, s in descending order.\nAnswer: s, n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 153 + -59. Let s = g + -93.999996. What is s rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**4\/7 + 368*f**3\/7 + 1052*f**2\/7 - 1424*f\/7 = 0?\nAnswer: -89, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25316432 and 891952.\nAnswer: 8336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 5:12 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*f + 80, 200*f + 2*n - 40 = 199*f. Solve -4*z = -12*z - f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c**2 + 55*c - 83. Let z(w) = 2*w**2 - 9*w + 2. Let h(b) = o(b) + 2*z(b). Calculate h(17).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7504*b**3 - 53*b**2 + 276. Let l(x) = -3752*x**3 - 29*x**2 + 142. Let f(i) = 11*l(i) - 6*v(i). What is the third derivative of f(z) wrt z?\nAnswer: 22512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 0 - 3*y**2 + 0*y + 0*y**3 - 1\/24*y**4. Let j(n) = -n. What is j(s(p))?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9101 - 5861871.185.\nAnswer: -5870972.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -977 - 52?\nAnswer: -a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7568\/495)\/16 + (78\/(-135))\/(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1745712644.\nAnswer: 2, 13, 2393, 14029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 39*h**2 + 14700*h + 29244 = 0.\nAnswer: -4874\/13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*h = 5*h + 8, 0 = -4*x - 3*h + 5. Suppose p - k - x = 8, 0 = -5*p - 5*k. Suppose p*d = -3*q + 27 + 86, -70 = -2*q - 2*d. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2751 and 1096.62?\nAnswer: 1654.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 - 37*m**2 - 3*m**3 - 2*m - 2*m - 283*m**4 + 281*m**4 to the form k*m**3 + a*m**4 + x*m + w + g*m**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s = 37*s - 63. Let h be (20\/s - -1) + -3. What is the smallest value in 8, h, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 5. Suppose d + b = 3*d + j, -3*j = 2*d - 21. Suppose 0 = -f + 3 + d. What is the remainder when 26 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498452 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**2 - 226*t - 228 = 0.\nAnswer: -1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + y. Suppose 3*n + 5*w - 2 + 6 = 0, -5*n - 19 = -4*w. Let s = n - -4. Let v be x(s). Solve -2*r - v*d + 8 = 0, 3*r = -3*d - 2*d + 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-104)\/30 - 28\/(-42). Let u = 27\/10 + l. Is u < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 3*l, -m = l - 512. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 - -1237?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 226 - ((-638)\/(-22) - 18). Sort o, 0, -4 in increasing order.\nAnswer: -4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -823 + 120 = -d. Let k(r) = -21*r**2 + d*r - 703*r. Let i(b) = -2*b. Determine i(k(v)).\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83*b + 49*b**2 - 35*b**3 - 83*b - 10*b**3 wrt b.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 6) + -2 + 5 + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579876199.\nAnswer: 7, 29, 43, 66431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(2\/19)*f)**(16\/5) assuming f is positive.\nAnswer: f**(176\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 11\/3, -3, 1\/14, 255?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 6*n**2 - 5*n - 2. Let a be p(4). Suppose 4*d + 7 = -2*i + 19, -i = -2*d - a. Solve -2*h - i = 4*s, -h + 5*s + 0 = -3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2413*z + 2404*z + 108. Solve -7 = 4*r + 13, -3*r = 3*k + z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1317*p - 51679 = 44738 + 6309 for p.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.424391202 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2494189 + -2494011.9977. Let i = q + -177. Round i to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -18739*r**2 - 30*r - 326. Let c be d(-6). Round c to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*t**3 - 276*t**3 - 649*t**3.\nAnswer: -1219*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*l = -392*l + 2587 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1061425 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1544, -4572, -9138, -15248, -22908, -32124, -42902, -55248?\n\"Answer: -d**3 - 763*d**2 - 732*d - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 0*z + 0 + 31\/60*z**5 + 0*z**3 + 0*z**4 + 31*z**2. Let q(v) = 2*v + 3*v + 0*v - 3*v. Give s(q(d)).\nAnswer: 124*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 - 9*w + 14. What is s(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 - -81. Let z = 6.4 + -4. Let k = o + z. Sort 9\/2, k, 3\/5 in decreasing order.\nAnswer: 9\/2, 3\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 + 11 - 1\/2*2. Let m(z) = 2*z**2 + 4*z - 7. Let f(r) = r**2 + r - 1. Calculate p*m(l) + 4*f(l).\nAnswer: 2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - y + 4, 5*c + 7*y - 23 = -0*y + 5*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3737736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 593030293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2 - 5*x + 25. Let j(g) = -4*g**2 - 6*g + 30. Let n(l) = -6*b(l) + 5*j(l). Let c(k) = 335*k**2. Calculate c(n(f)).\nAnswer: 1340*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3\/3 + 2722*l**2\/3 + 10900*l\/3 + 10904\/3 = 0. Calculate l.\nAnswer: -2, 2726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -41.14. Does 0.5 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 38*s - 4. Let n be k(29). Suppose 8*p + 0*p = -n. Sort -4, p, -5, 4 in increasing order.\nAnswer: p, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.231 + -1.769. Which is the nearest to 0.1? (a) -6 (b) -1\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - 2.5. Let x = 5 + u. Sort x, -2\/5, 1\/4.\nAnswer: -2\/5, 1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3 + 398*a**2 - 68*a + 3?\nAnswer: 6*a + 796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 321 and 15406716?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4577727 by -7301.\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 14\/53, -2\/11, 14 in decreasing order.\nAnswer: 14, 14\/53, 1\/5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -276, -547, -800, -1035, -1252, -1451, -1632?\n\"Answer: 9*u**2 - 298*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151 (base 7) to base 9.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -138\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201200605?\nAnswer: 5, 541, 74381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63981318887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 + 92. Let z(w) = -1 + w + 2*w**2 + 1 - 1. Let t be z(-2). Put 3, t, o in ascending order.\nAnswer: o, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*l - 27*l - 1 + 5 + (-15*l - 8*l - 6*l)*(-2 + 1 - 1).\nAnswer: 60*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16105563*i**3 + 4821021*i wrt i?\nAnswer: 96633378*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -16\/3*x - 40 - 1\/6*x**2 = 0.\nAnswer: -20, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 - -0.13. Let z = l - 16.24. Let x = 15.9999962 + z. What is x rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -0.1, 1, -11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 277777 to the power of 1\/2, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90780648 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 32*o**3 - 12*o**2 - 12*o - 1. What is g(-1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*(j*j*(j\/(j**(1\/4)*j))\/j)\/j*j*j)**40\/((j**0*j)\/(j*j*j*(j\/j**(4\/3))\/j)))\/((j\/j**0*j)\/j**1)**43 assuming j is positive.\nAnswer: j**(323\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l - z - 6 = 23*l, 0 = -3*l + 2*z + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3948426848?\nAnswer: 2, 31, 67, 59407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1172 (b) 28\/13 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11989.\nAnswer: 19, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.18 - 0.802. Round l to 1 decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1756461.\nAnswer: 3, 7, 83641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*c = 6, c + 5 = 2*i - 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(2\/39))\/a**(-2\/15))\/((a**(1\/5)*a)\/(a\/(a\/(a\/a**(3\/4)*a)))))**(-1\/68) assuming a is positive.\nAnswer: a**(-321\/17680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1680*c - 468 = -2148*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 16*m - 10. Let o(b) = 5*b - 3. Let u(a) = -3*j(a) + 10*o(a). Let f(g) be the third derivative of -g**4\/12 + 27*g**2. Calculate f(u(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 7 + (1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 + (-57 - (-25 + -4)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Divide -4 by 5848.\nAnswer: -1\/1462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6. Suppose 0 = 2*c + 2*c + 4*q, 5*c - 5*q - 20 = m. Differentiate -c + 0 + 2*z + z - 1 with respect to z.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - j**2 + j + 89. Is w(0) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -8*k**3 + 2 + 4*k + 5 - 4 + 9*k**2 + 1. Let y(x) = -8*x**3 + 9*x**2 + 5*x + 5. Let z(i) = -5*q(i) + 4*y(i). Find the third derivative of z(w) wrt w.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 19\/60*a**6 - 29*a**2 + 2 + 0*a**4 + 1\/15*a**5 - 7\/6*a**3 + 0*a. What is the third derivative of w(c) wrt c?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s + 6 - 9 + 6*s. What are the prime factors of n(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194239 is divided by 1351?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/3)\/((-14)\/(-84)*-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 8:35 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79635 + -44521. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -10*v**2 - 46. Let g(m) = m. Determine g(b(n)).\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 326 = -4*x - 62, -5*g = 3*x - 203. Calculate the highest common divisor of 1952 and x.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -23786561\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80056*o - 80056*o - 11*o**2.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 greater than 2\/841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -160*b + 2664. Determine z(16).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4 - r**2 - 10*r + 4 - 4. Suppose -5*d = -4*t - 16, 2*t - 5*d = -t - 7. Calculate the remainder when 13 is divided by p(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1265*w**2 - 101*w - 1 wrt w.\nAnswer: -2530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95*k*o**2*p - 5*k*o**2 + k*o*p - 5*k*o + 2*k*p + 2*k + 59*p + 15 with respect to p.\nAnswer: 95*k*o**2 + k*o + 2*k + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - 2 - 2*i + 2 + 0. Let y be n(1). Solve -o + y*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, y: 3, h: 4}. Give prob of picking 4 h.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 - -80.837. Sort p, 5, 3\/2, -0.4.\nAnswer: -0.4, p, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 6 = -3*y - 2*v, 0 = -4*y - v - 8. Let g be (4\/10)\/(y\/(-20)). Suppose 0 = 4*d - 9*d + g*k + 127, -d = 4*k - 11. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/((z**(1\/8)\/z*z)\/z))\/z)\/z)\/z*z\/((z\/((z**0\/z)\/z))\/z))**(-30) assuming z is positive.\nAnswer: z**(255\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.74 - 1.09. Let p = 0.85 - d. Which is the closest to 3? (a) -0.2 (b) 5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-72)*4)\/((-2)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*s - 12. Sort 0, s, -10, 2.\nAnswer: -10, s, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(3)*-3 + sqrt(12)\/sqrt(24) + 4.\nAnswer: -5*sqrt(2)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3556)\/2667)\/(2 + -3 + 3 + (-4728)\/36)?\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 742683719, 742683722, 742683725, 742683728?\nAnswer: 742683731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -t, -g - 3*t = g - 33. Let m be 12\/g*(-22)\/(-1). Suppose -16*v = -m*v - 1050. Is v a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-2)*4\/18*-3. Let k(s) = 1. Let c(b) = 6*b**2 - 6. Let p(f) = q*c(f) + 6*k(f). Let w(y) = -y. Calculate p(w(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96.04 - 98. Let y = v + 0.78. Let d = -8.92 + y. Round d to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7023 + -7022.999398. What is x rounded to 5 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/17, -2, 1, 30?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -71216?\nAnswer: 71214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 631647 (base 11) to base 8\nAnswer: 3671161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -6*w + 88. Let f = -116 - -215. Calculate the greatest common divisor of f and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.427 - 7.427. Which is the smallest value? (a) q (b) 2\/17 (c) -63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11859236*u**2 - 781231 wrt u.\nAnswer: 23718472*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-51*48\/(-30))\/(14\/(-672875)). Round g to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -29*z - 77 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 3975.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 273 + 278 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 14, 63, 142, 257, 414?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -120997*j**2\/4 - 5*j\/4 = 0.\nAnswer: -5\/120997, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -802 at most as big as -803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 123329263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 63087 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10418 - 3\nAnswer: 10415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16525175683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -6888\/317?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*sqrt(242) + 2 - 2*(1 + -2*sqrt(2)*2))**2.\nAnswer: 3362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-1140))\/((-27)\/72)*3\/(-1)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 f when three letters picked without replacement from ddddffddfdffdddddf.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1178001 is divided by 1659.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/179?\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6 - 4 + 7*v**4 - 3*v**5 + 18*v + 6 + 2 - 8 wrt v?\nAnswer: -60*v**3 + 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/3 = 2\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5664*n**2. Let o(x) = -x. Calculate d(o(j)).\nAnswer: -5664*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819 - 648 = 178*j + 491 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206 (base 9) to base 2.\nAnswer: 10101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/39 in 9, 13, 721, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18643 - 18645. Let k(x) = x**3 - x - 1. Let d(m) = 34*m**3 + 2*m + 2. What is w*k(b) - d(b)?\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7))**(-25)\/(o**(-2)\/o**(-9)))**(-15\/8) assuming o is positive.\nAnswer: o**(-15\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -136426034 (base 7) in base 3?\nAnswer: -121222000212002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/28786 and -61\/140?\nAnswer: 2015020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 10*g + 19. Let b be m(12). Let t be (4\/b)\/((-4)\/40). Solve -n + 2*n = -5*o - 20, -n + 2*o + t = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 2*y**2 + 12*y - 4. Let k be h(5). Let j = 312 - k. Is 27 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d + 11. Let m(v) = -3*v + 6. Let a(l) = 6*i(l) - 11*m(l). Let b(t) = 9*t**2. Calculate a(b(z)).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*o - 161*o + 473*o = 861 - 18981 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 9 + (3 - (0 + 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 32*q + 3. Let i(x) = 67*x + 7. Let j(c) = 7*b(c) - 3*i(c). Let h(n) = -6*n**2. Determine j(h(a)).\nAnswer: -138*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9454, 7492, 4216, -374, -6278, -13496?\nAnswer: -22028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 18, v: 1}. Give prob of sequence vq.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*x = -2*f + 13, x - 11 = -4*f. Suppose -4 = 27*a - 31*a. Let i be ((-3)\/a - 6)*(4 + -5). Solve -4*g + i = n - 7, n - f*g + 14 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*y + j = 6, -y + 2*j = 3. Suppose y*m - 18 - 24 = 0. Let l be (6\/(-21))\/((-2)\/m). Solve -3*p = -l*p + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -8\/203, -0.1, 0.11, -5, -140?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*l - 260*l + 576 = -404*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**3 + 3*h**2 + 2*h - 1. Let a be q(-1). Let r be -2 + (-2 - -4) - -3. Suppose r*g = -5*b + 10 + a, -2*g = 2*b - 2. Is g bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**3 + 8*w**2 + 41*w - 13. Is y(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 8 = 0, -3*s + 8 = 3*d - s. Suppose -d*c - c = -25. Let o = 335 - 331. Solve -3*t = -o*t - c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 2*b. Let g be ((-20)\/6)\/(2\/(-3)). Let o(t) = t**2 - 5*t + 3. Let a be o(g). Solve -27 = -3*n - b*w, 3*w = 2*n + a*n - 16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*k - 3 = 0, -x - 4*x + 2*k = 12. Let t(g) = -g**2 - 3*g**2 + 5*g**2 - 2*g - 3. Determine t(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -2, 10, 1 in ascending order.\nAnswer: -20, -2, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 10. Factor 25*w**3 + 4*w**j + 3*w**4 - 4*w**4 - 45*w**3 + 19*w**3 + 4*w.\nAnswer: -w*(w - 2)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-30) - 603\/54. Sort 2, t, 0, 1 in ascending order.\nAnswer: t, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 103*z - 94*z - 81. Let j(v) = -5*v + v + 6*v. Let c(r) = -4*r. Let y(n) = z*j(n) + 4*c(n). Let s(f) = -8*f. Give s(y(h)).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(162) + sqrt(17) - sqrt(17)) + 3 + sqrt(272).\nAnswer: 3 + 37*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3 - (-4)\/(2 + -14)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.3 - -1.3. Let x = 3.2 + m. What is the third biggest value in -1\/4, 0, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**4 + 128*g**3 + 136*g**2 - 128*g - 132 = 0. Calculate g.\nAnswer: -1, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, -215, -159, -49, 133?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**3\/3 - 86182*z**2\/3 + 129286*z\/3 + 86188\/3 = 0.\nAnswer: -21547, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1640751?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 4:03 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, m: 1, t: 4}. What is prob of sequence mo?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -76.31893102 - 2\nAnswer: -78.31893102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.3 - -17.1974. Round r to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 12:13 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 0 + 4\/15*x**3 + 4\/5*x**2 + 1\/30*x**4 - 15*x. Factor y(o).\nAnswer: 2*(o + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 5, 2 in decreasing order.\nAnswer: 5, 2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42*b**3 - 4*b**2 + 18882*b + 229928836?\nAnswer: 126*b**2 - 8*b + 18882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 51*k**3 - 159*k**2 + 161*k - 54.\nAnswer: (k - 1)**3*(k + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 6. Let q be 14\/(-3) + (-2)\/(-3). Let a = 400 + -403. Let d(w) = -23. Let i(f) = -4. Let g(c) = -5*d(c) + 30*i(c). What is a*z(o) + q*g(o)?\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 106 = -218. Suppose 3*i - 249 = -0*p - 3*p, -5*i - 2*p = -403. What is the remainder when i is divided by y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 881847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -338, -636, -896, -1118?\nAnswer: -1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 1. Let q be k(-4). Suppose 0 = -8*r + q*r + 570. Let z = -24 + r. Calculate the greatest common divisor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 1\/6*v**4 + 0*v + 7\/6*v**3 - 2*v**2 + 0. Let f(k) = k + 2. Suppose 0 = m - 6 - 8. Give m*f(r) - 4*j(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*l - 33*l + 127*l + 2628 = 0. What is the nearest to -0.1 in l, 0, -0.4, -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -8. Suppose 4*v - 8 - 5 = -u, -5*u = x*v - 20. Suppose 0 = n - 1, -a - 2*n - 14 = v*a. What is the nearest to 1\/2 in a, -2\/9, -0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 u when three letters picked without replacement from iiyriryqipuuuq.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 0*a**2 - a**2 + (6*a + 15 - 15)*(-6*a + 7*a + 7*a).\nAnswer: 46*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/16 - (29 + 20745\/(-600))?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.105*-1.127.\nAnswer: 0.118335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 - -29)\/7 + (0 - 1). Suppose -3*a + 6*a - 5*l = -10, 5*a + 29 = -4*l. Sort a, -1, t, 24 in ascending order.\nAnswer: a, -1, t, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9657 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-54) - ((-22172)\/414)\/(-3*2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*r**5 + 39824*r**4\/7 - 1765742*r**3\/7 - 383408*r**2\/7 + 141866*r\/7 + 31684\/7 = 0. What is r?\nAnswer: -1\/4, 2\/7, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 27*m**2 + 6*m - 7. Let b(f) = f - 1. Calculate -6*b(i) + v(i).\nAnswer: i**3 + 27*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300)\/250*-4*10\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3763419ml?\nAnswer: 0.0003763419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 78453608.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 6:53 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/5 (b) -11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Let y(x) = -115*x. Let s(z) = -2*a(z) + y(z). Let g(c) = 2*c - 9. Let t(j) = 3. Let q(f) = g(f) + 3*t(f). Calculate s(q(i)).\nAnswer: -226*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-8)\/((j*j**6)\/j)*(j**(-2\/3))**(2\/21) assuming j is positive.\nAnswer: j**(-886\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1042660*b**2*k + 9*b**2 - 3*b*k + 324722*b wrt k.\nAnswer: 1042660*b**2 - 3*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110024552 - 2?\nAnswer: 110024550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2321113 (base 5) to base 13\nAnswer: 16194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 12:31 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/6 - 0)*(-4743)\/62. Which is greater: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*h = -h - 8. Put -0.5, h, -4\/3, 5\/68 in decreasing order.\nAnswer: 5\/68, -0.5, -4\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q - q)*(3*q - 5*q + 0*q) + 20*q - 7*q**2 - 20*q.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16645 (base 10) in base 6?\nAnswer: -205021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -65*h - 1209. Determine z(14).\nAnswer: -2119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 12*l - 10*l - l**2)*(-19*l - 21*l - 15*l).\nAnswer: 165*l**3 - 110*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y**2 + 6*y + 6. Let w(b) = 33*b**2 + 34*b**2 - 113*b**2 + 35*b**2 - 11 - 11*b. Calculate 11*i(v) + 6*w(v).\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 w when three letters picked without replacement from {u: 3, j: 6, w: 3, c: 1, m: 1, h: 4}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1394, 902, 192, -736?\nAnswer: -1882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 2. Let g(j) = -3 + 5 - 1. Let b(k) = 2*g(k) - i(k). Let q(s) = -401*s**2 + 795*s**2 - 395*s**2. Calculate b(q(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66 and -1?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c + 3. What is the units digit of i(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14608 = 591*t + 737*t. Let u(z) = 5*z**2 - 5 - z + 9*z - 1. Let q(k) = 9*k**2 + 15*k - 11. Determine t*u(p) + 6*q(p).\nAnswer: -p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - 3 - (0\/(-3) + 1). Suppose 14*d + u = -53. Is -2*(-394)\/d*(6 - 13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 74*g**3 - 1. Let q be n(1). Suppose -c = -3*i - 3*c + 88, 3*i - c - q = 0. Calculate the greatest common factor of i and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40832 and 2.\nAnswer: 40832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 207429, 414865, 622303, 829743, 1037185?\n\"Answer: h**2 + 207433*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -5 + 29 + -16.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -3. Let x = 1 - a. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/6)\/((-12)\/(-32)). Let r = 4 - 1. Let x(c) = -k + 2*c**2 + 4 + r*c. Determine x(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -13. Suppose -2*b = 2, b + a*b - 32 = -4*r. Suppose -3*v = 6 + r. Sort v, 4, 0 in decreasing order.\nAnswer: 4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -67 (b) 2 (c) -4 (d) 3\/5 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f + 114 = 2*h + 7*f - 79, -h - 5*f + 10*f + 78 = 0 for h.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(-14) - 1 - (-56)\/196?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -8\/197066477 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 5:55 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(1\/30*-2). Let n be (4\/6)\/((-4)\/r). Suppose n*g - 105 = z + 4*z, 0 = -5*z. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.18 in 0.3, 0.5, -42?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b**3)))\/(b**(3\/4)\/b)*((((b\/(b*b*b*b*(b\/(b*b**(-3)\/b*b))\/b*b*b))\/b*b)\/b)\/b)\/(b\/(b\/(b\/(((b**(-2\/3)\/b)\/b)\/b*b)))*b) assuming b is positive.\nAnswer: b**(-113\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9625.94 nanograms in milligrams?\nAnswer: 0.00962594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -5. Let y be 5 - (1 - (g - -1)). What is the third derivative of f**y - f**2 - 2*f**2 + 7*f**2 - 4*f**6 wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 + 0*k**2 - 3*k**3 - k**2. Let u be y(-1). Suppose 4 = -4*g, 3*n + u*g + 2*g = 10. Solve w = 4*w - 5*s + 13, 0 = -n*w + 3*s - 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63211+-1.1340809\nAnswer: 63209.8659191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 296 + -743. Let f = k + 446.4. Let r = 5 - 4.7. Which is the closest to f? (a) -5 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + g - 5, 20 + 11 = 3*p - g. Calculate the remainder when ((-15)\/1)\/(-1) - -1 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14024604 (base 7) to base 9\nAnswer: 2402083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 5:59 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 4*n**2 - 24*n + 3. Calculate c(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253987497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2745, -2746, -2747, -2748, -2749, -2750?\n\"Answer: -t - 2744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -3 - (1 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21286 and 31562?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1249690*a. Let c(b) = 42*b**2 - 5. Determine c(i(m)).\nAnswer: 65592454036200*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4110484 and 237104.\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 9 = 1. Let k(m) be the first derivative of -m**4\/2 + m**3\/3 + m**2 + 3*m + 1. Is 19 a factor of k(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -4.7. Let h = -0.7 - k. What is the third biggest value in -1\/4, h, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**3*r**3*x + 10*f**3*r**2*x - 877*f**2*r**3*x - 17*f*x - r**2 - 2*r*x wrt r.\nAnswer: 12*f**3*x - 5262*f**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.188702 months in millennia?\nAnswer: 0.0020990585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17114 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -955*o + 914*o = -3250193. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**4 + 2*y**4 - 3*y**4 + (2*y**2 + 1 - 1)*(4*y**2 + 2*y**2 - 5*y**2) - 5*y**4 + y**4 + y**4 + 34 - 16 - 18 + 67*y**4.\nAnswer: 69*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, d: 4, x: 3, n: 1, p: 5}. Give prob of sequence dn.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041871993 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 19*v**3\/3 - 124*v + 135. What is the derivative of a(r) wrt r?\nAnswer: 38*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**2\/2 + 6*c - 13. Calculate y(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/7, -2.9, -33, 281?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 262*j + 3. Let c be h(4). Let m = 1960 - c. What is the common denominator of -2\/7 and 4\/6*m\/24?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7378090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 6. Let g be r(11). Suppose -g*z + 5*d + 25 = 0, z + 3*d - 7*d - 5 = 0. Suppose v + z = 0, -50 + 10 = -5*n + v. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-9) + (-94)\/(-18). What is the remainder when 1 + 5\/(q\/44) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 2*f + 8*f + 5*f - 3*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 2. Let h be g(-4). Let j(f) = 12*f - 2. Let z be j(h). What is the highest common divisor of z and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.16 to one decimal place.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 2196 = 755. List the prime factors of b.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 9:20 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-2 + (-3 - (5 - 14)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 minus 3284999099?\nAnswer: -3284999098.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33129412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**5 + 0*n**5 - 3*n**5 + (3 - 3 - n**3)*(-3*n**2 - 3*n**2 + 7*n**2))*(8 + 2 - 2)*(2 - 4 + 0).\nAnswer: 32*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 4610956.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.17 + 0.17. Which is the third smallest value? (a) 1\/3 (b) u (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4, 10, 42, 98, 184, 306?\n\"Answer: i**3 + 3*i**2 - 2*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -7400.\nAnswer: 3\/925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/11284224 and 37\/504?\nAnswer: 33852672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 12:23 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34571 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/((-6)\/(-72)*-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19513, -19336, -19159, -18982, -18805?\n\"Answer: 177*a - 19690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to 166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = s + 3*u - u - 1, -9*s - 277*u + 289*u = 24 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553466989.\nAnswer: 163, 3395503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 298630233 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -3. Suppose y*r = 7*r - 18. Let q = r - 3. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2695*r + 16752. Determine d(6).\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*a + 2930 = 236*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b + b + b + 4*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5286*z + 5311*z - 1725 = 0. What is the remainder when z is divided by 42?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o. Let u(h) = 8724583*h**2. Give w(u(n)).\nAnswer: 8724583*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 2:55 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2190085871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 1 + 4 + 3*l)*(-14 - 3*l + 14).\nAnswer: -9*l**2 + 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1096725662?\nAnswer: 2, 3719, 147449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 192 (base 13) to base 12\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.19148 from -5.\nAnswer: -5.19148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -1\/3*c**3 + 0 + 0*c**2 + 3*c. Let u(t) = -t. Calculate y(u(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t - 3. Calculate v(7).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 26414.36 to the nearest 100.\nAnswer: 26400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/28 + 11036\/434)\/1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 10 + -114 + 105. Let p be 4 + (y - 7 - -3). Let l = 1 + 8. Solve 3*t + 0 + l = p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -10, 2\/279?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.07996109 to 1 dp.\nAnswer: -53.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 15*f - 3. Let s be b(-5). Is 21\/(-2)*s\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 6:18 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276300, -276320, -276384, -276516, -276740, -277080?\nAnswer: -277560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w + 4*w - w)*(-2 + 2 + 14*w)*(w**3 - 2*w**3 - 2*w**3).\nAnswer: 126*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/497*588\/(-84).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - -4.5. Let s = -7 + r. Which is the nearest to 2\/7? (a) -0.3 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4257 and 495.\nAnswer: 21285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*w**2 + 2*w**3 - 19*w**2)*(1623*w + 454*w + 531*w - 26*w).\nAnswer: 5164*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*f = 24, -40 = 2*u - 7*u + 3*f. Calculate the remainder when 31 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3226 is divided by 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/6 (b) -13.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1725*r**4 - r**3 - 2*r**2 - 22497.\nAnswer: -6900*r**3 - 3*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 261688 = -5*j, -9*z - 5*j = -11*z + 130844. What is the ten thousands digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 2*y + 146, -4*y + 92 = 3*p + y. Suppose 15262*v - 1216 = 15246*v. Calculate the remainder when v is divided by p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 78159247 and 78159252 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -123 + 145. What are the prime factors of (280\/110)\/14 - (-23954)\/c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**3 + g**2 - 2*g + 7. What is the tens digit of s(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -1\/6*n**3 + 0 - 1\/2*n**2 + n + 1\/20*n**5 - 1\/4*n**4. What is the units digit of p(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1553 - -1558. What is the least common multiple of x and 19?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 - -412\/5. Let m = -43.8 + 41.8. Sort -4, -2\/7, m, d in descending order.\nAnswer: -2\/7, d, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 65413603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43583 or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10469759.8000109 - -10469743.8. Let c = t - -16. Round c to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153 - 168 - ((-2)\/1)\/(2\/6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 3. Let u = d - -3. Suppose -u*j = -j. Solve j = -t + 3 - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468010.\nAnswer: 2, 5, 17, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 96\/(-390) - (-6)\/(-39). Which is the second smallest value? (a) -1\/6 (b) 0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15090 times -0.6\nAnswer: -9054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2431435358 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1176\/245 + 7\/(140\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 2)*(-3 - -4). Let z = q - -1. Suppose -z*i + 12 = -i. Which is the nearest to 2? (a) i (b) 0.2 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 28 = -4*a + 8*f, -430*a - 2*f + 7*f + 11 = -426*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21012 (base 3) to base 16\nAnswer: -c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*sqrt(550))\/(sqrt(6)\/(sqrt(15)\/sqrt(5)))*1.\nAnswer: 2 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.6 - -9.8. What is the closest to 0.1 in d, -4, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**5 - b**2 - 75*b + 2 wrt b?\nAnswer: -60*b**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 18*q + 32. What is the second derivative of 109 - 2*f**3 - 61 - 4*f**2 - 47 - 57*f + 2*f**2 - q*f**3 wrt f?\nAnswer: -24*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54.73 + -55. Let l = 3.7 - r. Let g = -0.03 - l. What is the closest to -0.1 in g, -2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 253355321 (base 6) to base 7\nAnswer: 56621566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -135. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**4\/78 + 4*z**3\/13 + 36*z**2\/13 - 124*z - 217. Let t(d) be the first derivative of k(d). Factor t(u).\nAnswer: 2*(u + 6)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a minute in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/7*(-14)\/(-3). Factor a + 6*a + x*a**2 + 3 + a**3 - 3*a**2.\nAnswer: (a + 1)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by 4\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**2 - 2*x**4 - 3*x**3 + 0*x**4 + 3*x**4 + 3*x + 1 + 3 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195543.02 minus 15?\nAnswer: -195558.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4353016?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9492 and 48.\nAnswer: 37968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1456189731 rounded to the nearest 1000000?\nAnswer: -1456000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 29655603472*g**3 - 29655603469*g**3 - 6 - 2*g.\nAnswer: 3*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 less than 0.144?\nAnswer: 3.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -2*w + 3, -2*w - 3*j + 92 = 95 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/6))**(-3\/35))**(-6\/23) assuming f is positive.\nAnswer: f**(-3\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 49532*p. Let s(q) = -23*q. Calculate n(s(k)).\nAnswer: -1139236*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 3*z**2 - 7*z + z + 78 + 21.\nAnswer: 3*z**2 - 5*z + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 561671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + i + 2*i)*(-8 - 1 + 1) - 639*i + 1305*i + 75*i.\nAnswer: 757*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 m when four letters picked without replacement from {m: 3, z: 6, t: 5, n: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 - (80 + -51 + -23).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 + 12*n**3 - 5*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323220 - 20103113?\nAnswer: -21032333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 54 = -3*l + 3*x, -44 = -2*l - 2*x. Let w(y) = 2*y - 1 - l*y + 10*y + 3*y. Let c(k) = 2*k. Give -11*c(v) - 4*w(v).\nAnswer: -2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92.3585 - 0.2.\nAnswer: -92.5585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5*-81.01\nAnswer: -405.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(3267))\/(sqrt(27)\/((sqrt(18)\/sqrt(6) - sqrt(3)) + sqrt(3))).\nAnswer: -44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10, e: 4, a: 5}. Give prob of picking 1 e and 1 d.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 82162 + 32982 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/20415 and -149\/79904310.\nAnswer: 79904310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 4)*(-38)\/(-4). Let m = f + -7. What is the greatest common factor of 96 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -1. Let s(o) = -o**3 - 12*o**2 - o - 8. Let n be s(q). Solve 0 = 4*a - 4*m - n, -3*a + m + 0*m = -3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (-31 - 3) - (-16 + -3 + 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 73 = 12. Is 0\/3 + s + 2 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119558907 and 15938?\nAnswer: 7969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - 29*b - 35. Let a be z(16). Find the second derivative of 0*s - a*s**4 + 6*s + 53*s**4 + 19*s wrt s.\nAnswer: 480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-44)*(4 + (-6)\/(-2) + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unnugnnguunn. What is prob of sequence ungu?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3435076 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((1253\/(-14))\/(-1))\/(1\/4). Suppose -4*h + 134 = -t. Calculate the remainder when h is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 279 = 3*f, -4*g + 131 = -2*f - 217. Suppose -3*q = -5*d - 0*q + 102, 4*d + 5*q - g = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 778 - 8579\/11. Let x = -211\/99 - o. Do x and -1\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 11. Let o(h) = -7*h + 15. Let j(l) = -3*l + 7. Let n(r) = 13*j(r) - 6*o(r). Let y(f) = -f. Give p*n(g) + 2*y(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*z + 157*z + 650 = 0. What is the least common multiple of 20 and z?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - a + 1 - 1 - 1 - 6. Is p(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 22*a**2 + 7*a - 127. What is the remainder when 159 is divided by z(22)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -24.738*-9456\nAnswer: 233922.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*z + 185*z + 202*z + 243*z.\nAnswer: 833*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g - 10. Let i(a) = -a - 2. Suppose s + 8 = 5*s. Let j(b) = s*c(b) - 11*i(b). Let y be j(0). Sort y, -5, 1.\nAnswer: -5, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3)\/(6\/(-9)). Let w(y) = -48*y**3 + y**2 + y. Let m be w(l). Calculate the common denominator of 24\/5 and (-394)\/m + (-6)\/(-18).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a**3 + 3*a**2 - 4*a + 2. Calculate the remainder when 13 is divided by i(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k + 5. Let j = 17 + -9. Let w(y) = -5*y + 8. Let g(r) = j*q(r) - 5*w(r). Let i = 802 - 797. Give g(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297 and 297891.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174 divided by 10.\nAnswer: 87\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/9*(-1)\/(4\/18). Solve -8*a + 20 = -g*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1668, 4130, 10806, 23802, 45224, 77178?\nAnswer: 121770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -434*s + 1 - s**2 + 219*s + 218*s. Let j(l) = -4*l**2 + 9*l + 3. Give -2*j(h) + 7*u(h).\nAnswer: h**2 + 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 241161 - 0?\nAnswer: 241161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x - 4*h + 48 = -12*x, 2*x - 24 = 4*h. Solve -7*o + x - 11 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -5. Suppose -t = -52*w + 50*w. Solve 2 - 5 = w*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6093303 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/25*1*10. Let m(a) = a**3 + 3*a**2 - 5*a - 1. What are the prime factors of m(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1099, 1093, 1073, 1033, 967, 869, 733, 553?\n\"Answer: -p**3 - p**2 + 4*p + 1097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m + 8. Determine o(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q**4 - 7*q**5 + 7*q**4)*(1 + 5 + 5) + 4*q**5 + 10*q**5 + 27*q**5.\nAnswer: -36*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1787000554?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432117 divided by -3.\nAnswer: 144039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/11224308 and -7\/48?\nAnswer: 44897232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -14 + 7 + 2\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3101 + 3*k + 7*k - 2152 + 4377.\nAnswer: 10*k + 5326","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-15) + (-56)\/10. Let n = l - -12. Solve 3*v = -2*x - 12, -n*v + 4*v - 5*x - 8 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + ((2*sqrt(243)*-1 - sqrt(243)) + 1 - (-1 + (sqrt(243) - (-1 + sqrt(243))) + sqrt(243) + sqrt(243) + 0 + 1*sqrt(243))))**2 + -2.\nAnswer: 216*sqrt(3) + 8755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.2 (b) -9\/5 (c) 1\/22 (d) 229\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -16*h**3\/3 - 1. Let v(o) be the second derivative of -o**3\/6 - o - 211. What is v(j(p))?\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 37*v - 259. Let g be f(7). Solve -2*c + 4*a - 6 = g, a = 4*a - 12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(242)*2*-3*-5)**2.\nAnswer: 435600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 810\/1512 + 0 + 1\/(-4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a2 - -1092a9?\nAnswer: 1097a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 143, 2 in ascending order.\nAnswer: 2, 21, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g**3 + g**2. Let i be m(1). Let k = 11 - i. Calculate the lowest common multiple of k and 58.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(110\/(-12)))\/((-36)\/(-12))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 11*i - 6*i. Let x = 13 - i. Let r = 12 + -6. Put x, 5, r in decreasing order.\nAnswer: r, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5467?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 12*t**2 + 8. What is the smallest common multiple of h(4) and 4?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*c - 49*c + 18 = 0. Solve -3*q - 11 = c*w - 2, -4*q - 3*w - 13 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3667303, 3667299, 3667299, 3667303?\nAnswer: 3667311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/3, -1\/4, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.3 + -13.3. Let j = 244 - 249.07. Let t = j + 0.07. What is the closest to o in t, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2. Let u(t) = -118*t - 114*t - 6 + 121*t. Calculate s(u(p)).\nAnswer: 12321*p**2 + 1332*p + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 8*i + 8. Let x be r(6). Let s = x - -7. Suppose -2*g - 3*j + 18 = -j, 35 = s*g - j. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -241*v**7\/210 + v**6\/60 + v**5\/30 + 82*v**4\/3 - 2585*v**2. What is the second derivative of n(t) wrt t?\nAnswer: -2892*t**2 + 12*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**3 + 3*q**2 + 4*q - 1. Let p be g(3). Let z = p - -106. What is the third derivative of 118*m**4 - z*m**4 - 57*m**4 - 12*m**2 wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 6*d**2. Let v be w(-6). Suppose -7*h + 11*h = v. Is 3 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*g = -85*g + 2*u, -4*g + 0*u = u - 3*u + 3*u - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohvov. Give prob of picking 1 h and 2 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-432)\/252)\/((-20)\/(-14)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 + 21 - -36) + (0 - (-1 + 2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3 - 5509540*k**2 + 2018273*k + 30.\nAnswer: -12*k - 11019080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = c. Is 16 a factor of 2 - c\/(2\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/70988 and 45\/8394331.\nAnswer: 33577324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*j - 152*j - 1 = -i, -3*i - 3*j = -3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -452 + 323. Let c = r - -162. Calculate the remainder when c is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 1 - 5. Let a(k) = k**2 + 4*k - i*k + 0*k. Let x(p) = -p**2. Let o(b) = 10*b**2. Let n(m) = -6*o(m) - 65*x(m). Give -6*a(s) + n(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpwyo. Give prob of picking 2 w and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -43, -0.4, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -220 - -223. Let v(m) = -3 + 3*m**2 + 2*m**2 + m**f + 0*m**2 + 4*m. Suppose k + 16 = -2*k + q, 0 = 4*k - 5*q + 36. Give v(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201202210 (base 3) to base 10.\nAnswer: 34095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w - 5. Let l be t(-6). Solve f + 4*f = -l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1670, 3342, 5014, 6686, 8358, 10030?\n\"Answer: 1672*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 139*i - 52. What is the hundreds digit of d(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3\/8 (b) -29\/6 (c) 0.26 (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*v - 5 = 0, -4*v = -5*v + 5. Suppose -2*w + l*u + 104 = 0, -u - 2*u = 12. Find the common denominator of w and (-82)\/(-44)*-2 - 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83100*q**2 - 78972*q**2 + 11538*q**2 + 12947*q**2.\nAnswer: -137587*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3 + 47*i**2 + 703*i + 3249 = 0.\nAnswer: -19, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46681145?\nAnswer: 5, 7, 23, 103, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 9}. What is prob of picking 1 x and 2 s?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (126\/24 - 5)\/(3\/36). Suppose -2*h + z*y - 1418011 = 860001, h = 4*y - 1139016. Round h to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -953*c + 30482. Calculate n(32).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 1785*g - 10677. Give t(-6).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 13*k + 3. Let z be t(7). Let v be 12\/(-14)*-2 + z\/35. Solve 2 = -3*f + v*o, 5*f - o = 2*f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -663\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4 (b) -0.3 (c) 0 (d) 4 (e) -31778\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -5 - (0 - -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.096 + -11.796. Which is the closest to i? (a) -16.4 (b) 1\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 1:52 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + 19 + 0 - (5 + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(1*sqrt(1200)).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2976.804 to the nearest integer.\nAnswer: 2977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + s + 1016 = 0. Suppose 2*p - 61 = 43. Suppose 4*c + 4*g = p + 196, 4*c = 2*g + s. Calculate the remainder when c is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1573404 and -53\/524468.\nAnswer: 1573404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-54)*(2 + 7). Is x >= 815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00170181107 to 7 decimal places.\nAnswer: 0.0017018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000482 rounded to six dps?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 208 and 3.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 16 = 2*w, 0 = -2*w + 82 - 92. Solve -10*j = t*j + 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*t - 5. Suppose t = p - 7*p. Let z be (-2)\/6*9\/6. Which is smaller: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/152 + 315\/(-480)*-76?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-2805))\/((-584)\/1241)?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 35*c**2 - 6*c - 5. Let v(y) = 35*y**2 - 8*y - 6. What is 6*m(f) - 5*v(f)?\nAnswer: 35*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 608*k - 2012*k - 972*k + 684*k to the form g*k + i and give g.\nAnswer: -1692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/495 - 1499\/3465. Let g = 0.1 + -0.1. Which is the second biggest value? (a) g (b) 2\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-260)\/84 - -3)\/((-7)\/(-21)). Let c = -0.05 - 1.95. What is the smallest value in c, i, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -793.01 and 0.5.\nAnswer: -396.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1492*g*i**2*v - 25*g*v - g - 156*i**2*v + 5240*v wrt i?\nAnswer: -2984*g*i*v - 312*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 253441 - 22?\nAnswer: 253417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*s**6*x + 13*s**6 - 39*s**2*x + s**2 + 4*x wrt s.\nAnswer: 2640*s**3*x + 1560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/22 - (-192)\/33. Suppose -76 = -n*j + 356. Suppose m - 3*m + 2*w + j = 0, 5*w - 126 = -4*m. Calculate the greatest common divisor of 17 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4)*(-1 + 1). Let q(j) = 3*j**2 + 3*j + 41. Let p(y) = y**2 + y + 1. Let i(w) = -4*p(w) + q(w). Is i(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -143. Let c = -25 - a. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-6 - (-3 + -6 + 12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d - 4 = 0, -o - 2*d + 24 = 0. What is the greatest common factor of o and 700?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-12)*-2*1. Which is smaller: 19\/8 or i?\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6636269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + g + 4*g = -21, -4*g - 20 = -2*k. Suppose 3*p - 6 = 42. What is the greatest common divisor of p and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -2. Let d(h) = 0*h + 2 + 3*h + 3*h. Let b(v) = -5*v - 19. Let w(s) = 7*s + 28. Let l(f) = 3*b(f) + 2*w(f). What is q*d(u) - 2*l(u)?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*g + 64*g + 53*g.\nAnswer: 203*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/10)\/((-311)\/(-3110))*-3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/33 + 4466\/94743 + 4\/54)*2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8334 < 6419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 113\/15 (b) -1\/6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**3 + 8*c. Let x(t) = -t**3 - 3*t. What is 3*d(z) + 8*x(z)?\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9867847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let p(y) = -y - 1. Let r be p(-6). Sort r, -5, d.\nAnswer: -5, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 0 - (4 - 6). Suppose 0*g = g - s. Solve g = -5*f - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 8:43 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 330\/66 + (-590)\/114. What is the fourth biggest value in 0.3, 2, s, 2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 429718 and 96385?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -990 + 0.193123076516\nAnswer: -989.806876923484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1301670*k**4 + 1301669*k**4 + 2*k - 4*k**3 + 0*k**3 + 2*k**3 - 105 - 2*k**2 - 228 as j*k**2 + w + x*k + q*k**3 + y*k**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(-z**4 + 1 - 1)*(-6*z - 38 + 38).\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, 1\/4, 2\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -431 + -307. Let g = 3769 - j. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1674*y + 840*y + 860*y)*(-4 + 4 - 2)*(-1 + 3 + 0) to the form u + c*y and give c.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 11*s + 8. What is the tens digit of w(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5 = 7. Suppose 0 = b - c*b + 42. Suppose -4*d = -3*y + 15, 5*y - b = y + 5*d. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*1\/(-18)*3. Let g = 1.2 - 1. What is the closest to -2 in -5\/2, j, g?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 446891.44\nAnswer: 17875.6576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 1*-42 - 2. Suppose -2*d = 5*w - w + 4, 5*d - 2*w = t. Suppose -s - 6 = -d*s - 2*g, 4*g = -s - 6. Calculate the remainder when s is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17183, 34617, 52173, 69851, 87651?\nAnswer: 105573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ompm when four letters picked without replacement from llomllpllmllommm.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**4\/8 - q**3\/6 + 14*q**2. Let i be n(4). Find the second derivative of 4*b**4 + i*b + b**4 + 6*b - 6*b**4 wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -844\/5*y - 224\/5*y**2 - 624\/5 - 4\/5*y**3 = 0.\nAnswer: -52, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0283 rounded to three decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m - 29 = -2*y, 0 = -2*y - 4*m + 26. Solve 2*w - 6 = -4*i, -5*w - i - y + 31 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgufrsffgfhfffffrg. What is prob of sequence rs?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7356897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 - -55. Let c(m) be the second derivative of 4*m + 0*m**3 + q + 0*m**4 + 0*m**5 - m**2 - 1\/15*m**6. What is the derivative of c(z) wrt z?\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 5*w + 5. Let d be 642\/(-126)*3\/(-21). Let v = d + -3\/49. Which is the closest to w? (a) -5\/2 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -1874404524031.\nAnswer: -1874404524030.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**2. Let s(a) = 17748*a + 1. Calculate d(s(k)).\nAnswer: -944974512*k**2 - 106488*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418 = 10*p - 5*p - 3*z, 216 = 3*p + 4*z. Calculate the remainder when p is divided by 63.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 11. Suppose 2*i - 28 = -75*r + 79*r, -3*i = -4*r - 38. Calculate the remainder when ((-39)\/(-6))\/((-1)\/x) is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13303\/7 - 1901. Which is the third biggest value? (a) 0.42 (b) w (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3891*u**2 + 76*u + 65. Let r be y(9). What is r rounded to the nearest one thousand?\nAnswer: 316000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -42*m + 2628. Determine w(73).\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 7. Let m(d) = -217*d - 1302. Let x(a) = -186*c(a) + m(a). Let y(o) be the second derivative of -o**4\/6 - o. What is y(x(g))?\nAnswer: -1922*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide (-16)\/(-152) - 7558\/(-38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 5 (c) 4 (d) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence as when two letters picked without replacement from {p: 6, s: 1, a: 1, h: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 - -246. Let y = r + -162. Calculate the least common multiple of 24 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001110011011110110 + -1000001?\nAnswer: 11001110011010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -170 - -176. Let k = -12 - -27. Suppose 4*q = s + k, y*q + 12 = 5*q - 5*s. Solve -u + q - 7 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(1875\/10)*(-136)\/(-680).\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 divided by -20663?\nAnswer: -220\/20663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/y**(-8))*y)\/(y**(-1\/4)\/y))\/((y*y\/(y\/((y*y**(-5))\/y))*y)\/(y*y\/y**(-1\/5)*y)))**(19\/5) assuming y is positive.\nAnswer: y**(171\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85 + 88. What is the closest to 1 in 2, u, -12\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 994 and 39547?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -34*p - 51. Give s(0).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52558, -52534, -52508, -52492, -52498, -52538?\nAnswer: -52624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 25. Let v be u(10). Let o = 847\/47350 + 2\/947. Which is the second smallest value? (a) v (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*k + 20*g**2*p + 3*g**2 + g*k*p - 1573633*k*p - 4*k + 4*p - 211867 with respect to k.\nAnswer: -g**2 + g*p - 1573633*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-14)*(-112)\/2. What is the greatest common divisor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-10)*2\/(-20)*((-871)\/65)\/(-67)?\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*t - 2*t = -69, -3*t - 29 = -2*l. Suppose -2*v = 4*y - 180, 2*y = 5*v + 62 + 28. Calculate the remainder when y is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 0 - 1)*(2*m - 3*m - 1 + 0).\nAnswer: -7*m - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*x + 7, 0 = 4*c - 2*x - x + 47. Let f be 26\/4*(-2)\/1. Let v = c - f. Solve -4*p + 4 + v = 5*z, p - 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 737883 divided by 3.\nAnswer: 245961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 90, 86, 62, 6, -94, -250, -474?\n\"Answer: -2*h**3 + 2*h**2 + 4*h + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-34) + ((-15)\/(-4) - 9219\/(-476)). Suppose 0 = -t + 24 - 1. What is the greatest common divisor of t and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 g when four letters picked without replacement from egtteeeteg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 319, 213, 37, -209?\n\"Answer: -35*f**2 - f + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 21*d**2 - 9*d - 5. Give w(-21).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*r**4 + 307*r**2 - 54651*r + 643969738 wrt r.\nAnswer: 36*r**3 + 614*r - 54651","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 59\/5 + -2 + 19\/95. Let r be (-1)\/(-1) + -1 + 0. Solve 0 = 3*w - r*w + 3*u, 3*w = 2*u - y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430284 - 197*q**3 + 430284.\nAnswer: -197*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1027714, -1027715, -1027716?\nAnswer: -1027717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = l + 2*x, 8*l + 19 = 3*l - 3*x. Let w be (-4)\/(-16)*-1*l. Which is the second smallest value? (a) w (b) -2\/5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 804 = -801 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 413576 a multiple of 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 15. Let i be j(-11). Let r = 39 + i. Let y(s) = -5*s + 4. Calculate y(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9\/2 (b) 0.05 (c) 16 (d) 3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**4\/4 + 1259*t**3\/4 + 1261*t**2\/2 = 0.\nAnswer: -2, 0, 1261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308143 is divided by 5523?\nAnswer: 4378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -5 (b) 1 (c) 1\/3 (d) 0.1 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*l = -g + 96, -5*g + 4*l = -222. Let t = 84 - g. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 17.96. Which is smaller: v or 2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 3:40 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3521372 divided by -1760686.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*(-84)\/168.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 26*i**2 - 786*i + 13. What is y(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 182990152 and 45747538?\nAnswer: 182990152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**3 - 3*p**2 - 18*p. Let h(o) = -o**2 - 2*o. Calculate 14*h(y) - 2*m(y).\nAnswer: 8*y**3 - 8*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 16380 = -2*a + 7*a. Does 60 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 636 and 24009?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 3. Let w be z(2). Let o = w + 1. Suppose o*x - 4*x = -16. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 3*v**2 + 4*v - 1. Let z be r(2). Let a(n) = 18*n**3 + n**2. What is the remainder when a(1) is divided by z - (-1)\/(-1)*(2 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 + 0*p**2 - 1 - p**2 + (-2*p - p + 0*p)*(-3*p + 5*p - 6*p).\nAnswer: 15*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14818814089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 990220 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/15 - (3 - 1216\/120)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1968 and 38704?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/435 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 11:46 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26085240 and 44820.\nAnswer: 26085240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 370 and 30.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*g - 0*g - 22, -3*l = -2*g - 9. Suppose -g*a - 7*b = -2*b + 11, 4*a + b = 8. Suppose -a*c - 556 = -7*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 - 6*d - 5. Give f(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3017645\/368 + 168002\/23. Let o = z - -1785\/2. Let r = -7076 + 84965\/12. What is the common denominator of r and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**3\/3 + 3*v**2\/2 - 427*v. Let q(l) = 2 - 4 - 2 + 2*l. Give -6*k(n) - 5*q(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b + 62. Let g(l) = l. Calculate g(n(t)).\nAnswer: -3*t + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-9 - -5) + 38)*14\/24 and -133\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 3703*d**5\/10 + d**3\/6 + 613*d**2\/2 - 374*d - 5. What is the second derivative of y(q) wrt q?\nAnswer: 44436*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5884, 2, -4 in ascending order.\nAnswer: -4, 2, 5884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -96*r. Let z be (-1 - 1)*3\/6. Let s be i(z). Suppose 3*y - s = -3*l, 2*y + y - 3*l - 114 = 0. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**3 + 7*n**2 + 6*n**3 - 7 + n + 2*n - 12*n. What is the units digit of t(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a centimeter in micrometers?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 4:40 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3513\/12*(17 + -13). Let l = 1991 - p. List the prime factors of l.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 t, and 1 p when four letters picked without replacement from {p: 1, t: 8, v: 2, l: 7}?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 8:31 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (8 + -20 - -19).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3313 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7036*l**2 + 19. Let i(z) = 4690*z**2 - 12. Calculate 8*i(w) + 5*k(w).\nAnswer: 2340*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/((1\/3)\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by (8\/(-3))\/(10\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -900*a - 552*a - 670 = -1738 - 1836. Let 94\/5*c - 1\/5*c**a - 2209\/5 = 0. What is c?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-one halves of a milligram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + sqrt(91)*2*-3 + sqrt(91))\/(sqrt(70)\/(2*sqrt(10) - sqrt(10))).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1551 - 15541\/10. Calculate the common denominator of (-3)\/(-3*7\/(-18)) and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -5, 1, -2065\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3647 times 54954?\nAnswer: 200417238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/39 in 1\/4, 2, 12, 3, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**3 + 27*u**3 + 8*u**3 + 0*u**3 - 31*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 779318 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111011 - 111?\nAnswer: 100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2494838 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 376136.6kg to tonnes.\nAnswer: 376.1366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**7\/231 + 23*o**6\/165 - 39*o**5\/110 - 21*o**4\/22 + o - 2620. Determine k so that v(k) = 0.\nAnswer: -1, 0, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - j = 12, -3*s + 4*j = -j - 32. Let f be s\/(-16) - (-11)\/(-4). What is the remainder when 29 is divided by f - (-20 - (1 + -2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, q: 4, p: 7, d: 3}. What is prob of picking 1 l and 3 d?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -682 (base 13) in base 12?\nAnswer: -794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60706, 60710, 60714?\nAnswer: 60718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2.3. Let k = -76.718 + 76.628. What is the closest to -2\/5 in 0.5, o, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 3*z + 13. Let y be g(9). Suppose -3*w + f = -3*f - 17, 0 = 2*f - 8. What is the greatest common divisor of w and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 241, -5741, -12, 0 in decreasing order.\nAnswer: 241, 0, -12, -5741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6a - -2a?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46956 + 6458 = 13*t - 8063. What is the remainder when t is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 465930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - ((3 - 6) + 9). Let m be (-242)\/990 + 2\/(-10) + 0. Let i = 0.1 + -0.1. What is the nearest to i in a, m, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.412 + -0.572. Let s(d) = 4*d**2 - 42*d - 22. Let k be s(11). What is the biggest value in t, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*t = n - 474, -231 = n - 5*t. Let c = n + 2649\/11. Let p = -73 + 437\/6. What is the second smallest value in -1, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2555632 times 0.4\nAnswer: 1022252.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 4*i = -17, -4*r - 31*i + 26 = -34*i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + 96 + (-35 - 170).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - -25. What is the remainder when l is divided by (-5)\/3*(-17 - (-15 + 4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2763*j - 9744 = -3099*j for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3))**(-2\/21)*(o**(-1))**(4\/33) assuming o is positive.\nAnswer: o**(-128\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k**(1\/5)\/k))\/k*k*k*k**(4\/11)*k*k)**(15\/2) assuming k is positive.\nAnswer: k**(1017\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 84437245707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 145 = 2*f + 2*i, i - 374 = -5*f. Let z(u) = -u**3 + 2*u**2 - 2*u - 1. Calculate the remainder when f is divided by z(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5322032 + 1125?\nAnswer: -5320503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92756*g**4 + 271*g**3 - 9178042*g.\nAnswer: -1113072*g**2 + 1626*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -94339.3.\nAnswer: -94341.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/(-27) - (-2)\/9. Find the first derivative of 1 + 105*n**t - 2 - 116*n**2 wrt n.\nAnswer: -22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -11. Let d(q) = -q**2 - 12*q + 2. Is d(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 559*i - 6390 = 133*i for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.054 + 0.054. What is the fourth smallest value in g, 8, 0.2, -5\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 228*z**2 + 1267*z.\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(76) + -6*sqrt(76))*2*4)\/(((sqrt(288)*-3)\/sqrt(8))\/sqrt(9)).\nAnswer: 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b**3\/4 - 1140*b**2 - 9819*b\/4 + 3078 = 0.\nAnswer: -3, 8\/9, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5.3 times -160552\nAnswer: 850925.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 17*d**2 - 13*d - 58. Let v be n(16). Let x be (-140)\/(-50)*v\/(-7). Solve 36 = -x*h + 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-280)\/(-16)*2 + 2. Differentiate -4328*n - w + 4344*n - 134 wrt n.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + m - 3, -2*m = 5*w - 3*m - 15. Let c(i) = -3*i + 2. Let p be c(w). What is the hundreds digit of (((-192)\/(-18))\/8)\/(p\/(-534))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 divided by 33.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 15. Suppose 0 = -c - b*s + 364, 5*s + 1740 + 180 = 5*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v**2 + 76*v + 6. Let s(w) = 2*w**2 + 38*w + 2. Determine -2*m(j) + 5*s(j).\nAnswer: -2*j**2 + 38*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from lnnlnllyyncgcnygnnny?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9212 = 358*t - 985 + 7 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132383889 to the nearest integer?\nAnswer: 11506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -572.4 - -572. Which is the nearest to 5? (a) -2\/13 (b) -2 (c) n (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.618 + 69.382. What is the second smallest value in 0, -0.05, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 41*a**2 + 78*a - 2. Let q be h(39). Let o be 15\/10 + 3\/q. Solve -13*w + 9*w - 16 = o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 227 + -142. Let l = b + -87. Sort 4, -5, 5, l in descending order.\nAnswer: 5, 4, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -62*k - 1. Let p be c(1). Let h = p + 99. Suppose 4*q - 104 = h. Calculate the greatest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**5\/7 + 3580*p**4\/7 + 53236*p**3 + 1127132*p**2 - 68164968*p\/7 - 164965824\/7 = 0. What is p?\nAnswer: -51, -2, 8, 991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -18*v + 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -149.4085 to zero decimal places.\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aabaddaapd. Give prob of sequence dp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.607097 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4692 = 9*c. Let z be 34\/c*(-1)\/(-1). Let k = 4.2 - 4. Which is greater: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**2 + 4*m. Let z be o(3). What is the units digit of (-2 - 0)\/((-4)\/z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7*z - 1. Let b(t) = 3*t**3 + 15*t**2 - 3*t - 8. Calculate the remainder when w(-4) is divided by b(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 9*r - 120. Suppose -26*n = -r*n - 298. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5 = -7. Is (20\/(-12))\/(g\/117) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*z - 3. Let g = z + 27. Solve 2*t = 7*t + c + g, -22 = 5*t - c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -830 (base 14) to base 11\nAnswer: -1234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*s**2 + 7*s**3 + 60*s**2 + 1 + 0*s + 2*s to the form i*s**2 + f*s + x + g*s**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*l = 3*l - 35, -2*l + 28 = -4*w. Which is bigger: -31\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 2, e: 3, x: 8, l: 5}. Give prob of picking 1 e and 1 l.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -32986 times 0.08\nAnswer: -2638.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 4.0049?\nAnswer: -4.5049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(420)\/(sqrt(224)\/sqrt(8)))\/(5*-2*sqrt(12) - ((sqrt(588) + -2*sqrt(588) + sqrt(588) - sqrt(588) - sqrt(588)) + sqrt(588) - sqrt(588))).\nAnswer: -5 + sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 = 2. Let l be -3*(2\/(-12))\/n. Let a = 0.38 + -1.18. Is l > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5921 is divided by 436.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**4\/24 + 96*k**2. Let b = 16 - 14. Let m(f) = 4*f**b - 3*f**2 + 23*f**2. Calculate m(a(s)).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 96191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 13*b + 10. What is p(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 4. Let f = 0.86 + -5.86. Which is the nearest to 1? (a) x (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -49*f**3 + 54*f**2 + 140*f + 74. Calculate k(-2).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/17 + 40*p**2\/17 + 72*p\/17.\nAnswer: 2*p*(p + 2)*(p + 18)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 82950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-38)\/3 + (-1)\/(-12)*8. Let q be ((-5)\/(-3))\/(2\/(-12)). Is x greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 + 3890192*j + 9458496123040.\nAnswer: 2*(j + 4862740)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4)*(-32)\/(-24) - 11. Let z be 202\/66 - (-2)\/6*f. Is 1 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -13*i + 2. Let w(o) = -781*o + 121. Suppose -77*x - 1452 = -65*x. Give x*t(k) + 2*w(k).\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**(-1)\/t*t)\/t)*t)**9\/(t**(-2\/15)*t*t*(((t\/(t**7\/t))\/t)\/t)\/t) assuming t is positive.\nAnswer: t**(632\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 0.4 (c) -0.3 (d) -7 (e) 1\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1765753669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -17325 divided by -3\nAnswer: 5775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 - 1. Let n(a) = -23*a**2 + 4. What is n(i) + 6*r(i)?\nAnswer: -11*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-2\/21)*o))**29*(o\/(((o*o**(-1)\/o*o)\/o)\/o))\/(o\/o**(-11)*o) assuming o is positive.\nAnswer: o**(-152\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12*30\/96)\/(4 + 4216\/(-1056)). Calculate the greatest common divisor of r and 765.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6510 and 5013258.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*j**5 - 5\/2*j**4 - 37\/2*j**2 - 6 + 39\/4*j**3 + 17*j.\nAnswer: (j - 3)*(j - 2)**3*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - 11 - 56)*(-1)\/2*-1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -700, -1514, -2444, -3508, -4724?\nAnswer: -6110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6) - (-25920006)\/(-18). Round l to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 7*f**2 - 3*f - 7. Let t = -16 + 22. What are the prime factors of m(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086722 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2886555911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6*m - 2 = 0. Let j be ((m*10)\/(-2))\/1. Suppose -4*d + d + 12 = 0. Solve -d*b - 1 = -4*z + 7, j*b + 24 = -2*z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3908*b**2*u**3 + 4*b**2*u**2 - b*u**3 - 13039*b*u - u**3 wrt b.\nAnswer: -7816*u**3 + 8*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1.33, 2, 4\/7 in decreasing order.\nAnswer: 2, 4\/7, -0.4, -1.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 957 and 9831.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26.1 + -25.6. Which is the fourth smallest value? (a) g (b) -0.2 (c) -2.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 28, 38, 52, 70, 92, 118?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -118*v**3\/3 - 19. Let s(p) = 5*p**2. Determine s(k(a)).\nAnswer: 69620*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43540379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 459 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*r + 12539 = 0, 2*r + 12541 = 3*a + 4*r. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 28 - 37. Let f = j + -9. Suppose 6*y - y + 370 = f. What is y rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -l - 63. Let u be (2\/77)\/(66\/462). Put 1\/2, u, l in ascending order.\nAnswer: l, u, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -22*l - 1. Let d(w) = w**2. Give d(z(p)).\nAnswer: 484*p**2 + 44*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n = 18*n - 3, g + 13 = 4*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.207 + -2.207. What is the second biggest value in 1\/10, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-20)*(-20)\/(-16)*(-32)\/6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -67\/3. Let b = 998.5 - 999. What is the second biggest value in -0.3, u, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*((-645)\/(-10) - -4).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460283 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 50 - (10 + -19).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 6 + 4 = 0. Let a be (20 - 20)\/(0 - -1). Suppose 5*q + a*t + t = 15, t = -2*q + 9. Put 4, k, 5, q in descending order.\nAnswer: 5, 4, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-14)*2\/6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i - 32. Let r be n(0). Let x = 3 - r. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/3))**39)**(4\/5)*(a*a\/(a*a*a**(-1\/2)*a*a))**47\/((a*a**(3\/10))\/a**(1\/6)) assuming a is positive.\nAnswer: a**(-2773\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -16*r + 11*r + 24, t + 4*r - 14 = 0. Let f = 0 + 2. Suppose -5*h + f*o - 3 = 0, 0 = 4*h + h + o + 6. Put t, h, 0 in increasing order.\nAnswer: t, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2826.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*w**4 - 31*w**4 + 3*w - w**2 - 2*w + 4 - 2*w**2 + 2*w**3 to j*w**2 + z*w**4 + t + i*w + v*w**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*b - 8. Suppose 7*k + 5 = 19. Let w be (k + (-6)\/3)*-1. Solve 3*a - 13 = b*n + 8*a, -5*a - 5 = w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/2, 11, -5, 138, -0.2, -0.1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 20 = 26*h. Is (-2370)\/(-4) + 2\/h + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150000253 (base 6) in base 5?\nAnswer: 1242020101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44.6 + -50. What is v rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/30 and -3\/250120?\nAnswer: 750360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*(12 - 7 + 9)*(-8 - 2 - 4)*(3*z**4 - 4*z**4 - 2*z**4).\nAnswer: -588*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*y = -70*y - 72. Does 22 divide 2\/y - 14535\/(-60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2701 + -2685. What is the remainder when 114 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -281 (b) 3.16 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = i + 342. Suppose 0 = 2*k + 40 - i. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93947, 93950, 93953, 93956, 93959?\nAnswer: 93962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Suppose -5*z + 22 = -3*m, -2 = 5*z + 3*m - o. Find the second derivative of -z*g**5 - g - 2*g**3 + 2*g**3 wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9 + -2. Let x = -40.5 + 40.5911. Let y = n + x. Round y to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3068472 and 49644?\nAnswer: 2364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (30\/25)\/(9\/30). Suppose -3*g + w = -t, -5*w = 3*g - 26 - 8. Suppose -g*m + 11 = 5. Solve -d + 3 + 4 = -3*r, 0 = -4*r + m*d - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 82511531.\nAnswer: -12\/82511531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2 + 22, 0 = 2*w + 5*y - 360. What is the greatest common factor of 15 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -159 + 816?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -360389 (base 12) to base 5\nAnswer: -210341244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 3*z - 2*z)*(-588*z**2 - 21826*z + 21826*z).\nAnswer: -588*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 16\/(-18) + 40885\/(-11322))*-2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + (sqrt(1900) - 2*sqrt(1900)*-1) + -4) + 2 + -5)**2.\nAnswer: 540*sqrt(19) + 153909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/4*48\/12. What are the prime factors of 590\/(8 - b) + 2 + -4?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w**2 - 42*w**2 + 19*w**2 + 3*w**2 + 15*w**2.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 - 6)*(h + 36 - 33 - 2*h**2 - 2*h**2)*(-3*h + h + h) as f*h + t*h**2 + p*h**3 + u and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = h + 1, 0*q - 2*q - 5*h + 21 = 0. Sort 4, -5, 3, q.\nAnswer: -5, q, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1786 + 1814. Solve 3 - u = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 11:46 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 5510968394.76.\nAnswer: 5510968394.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116 - -108. Let u be (-1)\/((-4 - c)\/(-8)). Solve 5*p + 8 + 7 = 2*r, 5 = u*r + 5*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 721317 is divided by 37937?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*(-21)\/63*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/2, 9465, 6?\nAnswer: 9465","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 1\/12 (c) 1\/4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11690*s + 5982*s + 4207*s + 25185*s as b*s + n and give b.\nAnswer: 23684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**7\/2520 - r**6\/240 + 7*r**5\/120 + r**4\/6 + 10*r. Let f(b) be the third derivative of m(b). Give f(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 8:29 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4709 and 4811.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**3 + 4*p - 1. Let g(f) = -8*f**2 + 3*f. Let c be g(1). Let m(w) = -6*w - 28. Let l be m(c). What is the remainder when 116 is divided by k(l)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11426 and 199520.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 114*x**2 - x + 2. Is g(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (405222\/(-40))\/(12\/8). Let o = t - -6745. Let g = 331\/1422 + 144\/79. What is the common denominator of o and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 61*l**2 + 15336*l - 492804.\nAnswer: -(l - 54)**2*(l + 169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21145, 21142, 21139?\nAnswer: 21136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.12087 + -194.96087. Let a = -0.16 + o. Let f = a + 194.999897. What is f rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 i when four letters picked without replacement from {i: 3, u: 1, j: 3, t: 3, k: 2, s: 7}?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 45\/585*0*(-1)\/20*-2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (525\/(-40))\/35*-4*(-28)\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -11*m - 36 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {x: 2, q: 1, d: 1, c: 3, v: 1, k: 8}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.4 + 5.5. Let b = -22.9 - m. Put 0.3, b, -1\/2 in decreasing order.\nAnswer: 0.3, -1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -38.\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*d + 3*o + 3, -5*d = 4*o + 4. Suppose d = -3*t + 2 + 4. Solve t*r - 2 = -0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -9*h + 4*h - 5*z, -5*h = z + 19. Suppose 4*y + 2 = 22. Put h, -2, y in increasing order.\nAnswer: h, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/187 - ((-53200)\/352)\/(-25).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 779252 by -3.\nAnswer: -779252\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -39, 2 in ascending order.\nAnswer: -39, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvv when three letters picked without replacement from deeevvdeed.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, -2, 5, -5, 54.\nAnswer: -5, -2, 5, 54, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 60\/(-50) + (-177)\/(-252) and 163\/336.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -165 + 1817\/11. Factor -p*g**5 - 2\/11*g + 0 + 0*g**2 + 4\/11*g**3 + 0*g**4.\nAnswer: -2*g*(g - 1)**2*(g + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**15\/y)\/y)**32*((y*y**(-1\/16)\/y*y)\/y)\/(y**6\/y) assuming y is positive.\nAnswer: y**(6575\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + 98\/((-9016)\/(-1380)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -206\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4253071 months in years?\nAnswer: 0.202108925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 127*g**3\/6 - 13*g**2\/2 + 77*g. Differentiate x(p) wrt p.\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 137375\/(-4650)*(-8)\/(-10934). Let j = c + 1\/2046. Is j less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 57274*y**2 + 57*y + 495. Let n be v(-33). What is n rounded to the nearest one million?\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9565 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 2*o - 5. Let k = 7 - 3. Let t be h(k). Suppose 2*u = -x + 2*x - 45, -4*x + 165 = -t*u. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3263, 6527, 9791, 13055?\nAnswer: 16319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 195, 193, 191, 189, 187, 185?\n\"Answer: -2*k + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4 = 3*a, -5*a - i + 18 - 9 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6179389751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 145674\/25 - 5826. Are n and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/4)\/16*(-72)\/585*-5.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 59*a**2. Let y(s) = -63*s**2 + 162*s - 18. Let j(b) = -18*b**2 + 45*b - 5. Let q(r) = -18*j(r) + 5*y(r). What is o(q(i))?\nAnswer: 4779*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 85*y - 25. Let j(b) = -7*b + 0 + 3 - 1. Determine 2*f(v) + 25*j(v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1199678\/1167 + -1028. Is 0 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 1:51 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4889 + -4886. Put 6, 5, j, 27 in ascending order.\nAnswer: j, 5, 6, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**6\/240 - n**5\/120 + n**4\/48 + n**3\/12 + n**2. Factor q(c).\nAnswer: -(c - 1)*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 1394 = -5*g - 1439, 4*g - 2*v + 12 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-12)*(-1329120)\/(-46860).\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55\/14 in 45\/7, 0.3, 0.1, -3?\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 (base 3) in base 10?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**8\/50400 + p**7\/12600 - p**5\/20 - p**2. Let n(a) be the third derivative of u(a). Solve n(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21276 is divided by 610.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -20. Which is the closest to 1? (a) 3 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjmmmmmmmdmddmmd. Give prob of picking 1 j, 2 m, and 1 d.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19334 - 19332. Let y(d) be the third derivative of -d**4\/8 + d**3\/3 - d**2. Give y(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x**2 + 2*x**2 + 3*x**2)*(-43 + 12*x**2 + 43) - 4*x**4 - 3*x**4 + 5*x**4 as y*x + p*x**3 + f + n*x**2 + t*x**4 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Suppose -5*z - 5*x + 1645 = 0, -2*x = 3*z + n*x - 987. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + n - 7. Let o(t) = 103*t**3 - 449*t**2 + 4*t - 28. Let i(s) = o(s) - 4*w(s). What is the third derivative of i(m) wrt m?\nAnswer: 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 2*s + 13, -2*y + 3074101 = 16*s + 3074231 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 7 = 3. Let q(h) = h**2 + 7*h + 10. Let a be q(-3). Sort a, 3, i.\nAnswer: a, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -228 (base 13) to base 8\nAnswer: -564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -12*s**2 + 35*s - 32. Let l(h) = 6*h**2 - 18*h + 16. Let f(k) = 2*d(k) + 5*l(k). Find v such that f(v) = 0.\nAnswer: 4\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (76\/16)\/((-78)\/8). Let x = 2\/13 + m. Suppose -3*c + v - 14 = 0, -c + 6 + 0 = -3*v. Which is greater: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (207060\/200)\/(-87) - (-1)\/(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 11) to base 10.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 y, 1 s, and 1 p when four letters picked without replacement from {y: 3, g: 4, k: 1, s: 4, e: 3, p: 2}?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqdq when four letters picked without replacement from {q: 4, d: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/5 + 318*a**2\/5 - 1571*a\/5 + 1878\/5.\nAnswer: -(a - 313)*(a - 3)*(a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 60 = q, -q + 0*q = 0. Let a = 7 - 13. What is the smallest common multiple of (10\/(-2) - -2)*a and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 5 (c) -103 (d) 0 (e) -2\/11 (f) 38 (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -12. Suppose -12 = -4*o + q*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-3))\/((-8)\/12). Suppose 4*l + 8 = m, x*l + m + 0 + 4 = 0. Let a be l\/(-10)*(1 - 2). Which is greater: 4 or a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 4:00 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-10))\/((-2)\/40). Let a = 39 + -39. Solve a = -3*m - m + j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14639 - 14637. What is the third biggest value in -4, 2\/3, -3\/20, c, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 0*v + 0 + 15\/2*v**3 + 39\/4*v**4 + 21\/8*v**5 - 3*v**2 = 0.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 11*q**2 - 476*q - 23. Determine j(17).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.0463 + 0.0463. Let d = 0 + 0. Which is the third biggest value? (a) 0.7 (b) r (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 1. Let b be z(-6). Let u(c) = -2*c - c + b*c - 3*c**3. Let i = -17 + 19. Let o(y) = -7*y**3 + 5*y. Give i*o(x) - 5*u(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 36. What is the third smallest value in -0.4, w, -2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4023.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/3 and 77\/9186?\nAnswer: 9186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7588195 meters in kilometers?\nAnswer: 0.0007588195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 78 = -5*y. Let i = y + 42. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1106560032 to the nearest integer?\nAnswer: 33265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -342577.4802 take away 3?\nAnswer: -342580.4802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + r**2 - 6*r - 10. Let c be y(-3). Let j be (c - -8)\/(-1 - 1). Sort j, -1, -3 in descending order.\nAnswer: j, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -588, 1, 0, -5, -1 in descending order.\nAnswer: 1, 0, -1, -5, -38, -588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*r**5 - 18*r**4 - 3*r**3 - 6198*r**2.\nAnswer: 4020*r**2 - 432*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 225.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvecl. What is prob of sequence vce?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**3 - l**3 + l**2 + 0*l**2 to the form i*l**2 + u + a*l**3 + r*l and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10100012122 + 2?\nAnswer: 10100012201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 6. Let k be c(6). Suppose -4*x - 2*q + 48 = 0, q = -2*q - k. Solve 6 = -4*p - x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 212864*t**2 - 3*t**4 - 212861*t**2 + 1 + 19*t**3 + 5*t - 6*t to y*t + h*t**3 + l + g*t**2 + j*t**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(153) + 3*sqrt(153)*-5 + sqrt(85)\/sqrt(5)*-1*-4)**2.\nAnswer: 76*sqrt(17) + 24549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**4\/8 + 5*x**3\/4 - 111*x. Let a(p) = 0. Calculate p.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00184435659 to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**4 - 1326*q**3 + 289800*q**2 = 0.\nAnswer: 0, 276, 1050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3800 times -669\nAnswer: -2542200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqldqqddqp. What is prob of picking 1 d and 3 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30217 + 73790 = 37*v. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 1. Let t be j(0). Let q be t + 2\/(-2)*-2. Let k(x) = x + 1. Let g be k(1). Is q equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54455 at most as big as -43834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 4*n**2. Let u be g(3). Let o(j) = -j**3 - 10*j**2 - 9*j + 2. Let v be o(u). Solve 0 = -2*r + w, -v*r = -0*r - 3*w + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4134233, 4134229, 4134225, 4134221, 4134217, 4134213?\nAnswer: 4134209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 3*v - 11. Let z be n(-5). Let g be (139\/z)\/(4\/140). Let c = -2916 - g. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = v - 7, q + 5*v - 21 = -q. Sort -6, 0.1, q in descending order.\nAnswer: 0.1, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4821631739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9440938?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 1, -0.08, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -2)\/(66\/462).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (5 - (6 - 2)) - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4306649, -4306648, -4306647, -4306646, -4306645, -4306644?\n\"Answer: d - 4306650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -11*g**2. Let l(u) = -556*u**2 - 21*u - 3. Let d(f) = -274*f**2 - 9*f - 1. Let w(k) = 7*d(k) - 3*l(k). What is o(w(h))?\nAnswer: -687500*h**4 + 11000*h**2 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 531 (base 6) in base 15?\nAnswer: d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/5 - 97*k**3 - 506*k**2\/5 + 1944*k = 0 for k.\nAnswer: -5, 0, 4, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2 = 26. Let u(o) be the first derivative of 0*o**3 + 1\/6*o**g + 0*o**5 + 0*o + 2*o**2 + 3 + 0*o**4. What is the second derivative of u(a) wrt a?\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 180\/315*(-14)\/4. What is the nearest to 0 in 0, x, -5, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 4:29 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -329, -1224, -2707, -4772, -7413?\n\"Answer: i**3 - 300*i**2 - 2*i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.571 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 + 22\/5. Suppose g*n + 8 = 32. Let y = -9237 - -9249. Calculate the greatest common divisor of n and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 545 - -1414.578\nAnswer: 1959.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 1:40 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*o - 28*o**3 + 126*o.\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5400769 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, c: 6, g: 9, y: 1}. What is prob of picking 1 y and 1 g?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(104)*1*4)\/((sqrt(24) - (sqrt(48)\/sqrt(2) - sqrt(24)))\/sqrt(3)).\nAnswer: 2 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(0 + 1) + -1. Let u(f) be the second derivative of 163*f**3\/3 + f**2 + 5*f. Let a be u(r). What is a rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54222945 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -162.85 + 0.85. Let v = a - -161.95. Sort -2\/7, -2\/15, v in increasing order.\nAnswer: -2\/7, -2\/15, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 e when four letters picked without replacement from cerercreeeecrrc.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12050 + -8550. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 10, 6\/11, 31, -12?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.40335986 - -0.5182197. Let v = x - 7.91485004. Let i = v - -8.8. What is i rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -770*z + 162*z = -46*z - 21918 for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 108*d + 2813. Let q be t(-44). Suppose 0 = -5*l + 3*l. Put l, -1, q, 15 in descending order.\nAnswer: 15, l, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from {s: 2, m: 1, i: 1, c: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/284 and 71\/62914.\nAnswer: 8933788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 270967 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 163 and 0.8?\nAnswer: 130.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.27 - -0.433.\nAnswer: 0.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 828479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1015*u**2 - 176*u + 2365*u - 549*u + 2 wrt u?\nAnswer: -2030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5985 + 8760. Does 53 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.2 + -1.9. Which is the third smallest value? (a) -2\/9 (b) h (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 20 + 14, -149589 = -2*j + 5*n. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 58*q - 124. Let o(y) = -36*y**2 + 253*y - 9. Let r be o(7). Calculate d(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2859 + 2864 - ((-1 - -2) + 0) - 104?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, -1\/6, 2, 2\/15?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 5:42 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - x**2 - 22. Let q be (-1 + 1)\/(-2 + 0 + 1). Give n(q).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -78671169?\nAnswer: 78671171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13970863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 + 0.1. Let r = 3 + -4. Let p = -14 - -10. What is the nearest to m in p, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37528 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 364 - 357. Calculate the remainder when 159 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32279393, -32279387, -32279381, -32279375, -32279369, -32279363?\n\"Answer: 6*o - 32279399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -15. Let w = d - 9. Which is the nearest to -0.3? (a) -0.5 (b) w (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-2106)*27*13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -441.58 and -1.564150376.\nAnswer: -443.144150376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -463, -899, -1337, -1777?\n\"Answer: -p**2 - 433*p - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-630)\/(-50) - 9\/15. Suppose -s*u - 45 = -17*u. What is the least common multiple of u and 40 + 0\/(-2) + -1?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 greater than 6049511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -70290 divided by -4?\nAnswer: 35145\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-3)\/9)\/((-9)\/(-189)*35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 2 + -1)*(-60)\/(-36). What is the highest common factor of 845 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/137420 and 59\/6609902.\nAnswer: 66099020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 6*j = -84, -2*m + 82 = -3*j + 15 + 24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwg when three letters picked without replacement from gxpxxxxxxxwqxxxxxxq.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 952 and (4\/(-6))\/((-3531)\/504 - (-21)\/3).\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28826, 57570, 86314, 115058, 143802, 172546?\n\"Answer: 28744*y + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 101010100111000011011011 (base 2) to base 14\nAnswer: 16aa9bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1336 - -1347.26. Let s = -5.8 + a. What is s rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -s - 40 + 37, 0 = 3*b + 2*s + 3. Let a(z) = z + 5 - 2*z + 1 - 7. Let c(y) = -1. Determine b*a(h) - c(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456608\/9012*7\/(266\/24).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 8:08 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -17288113.\nAnswer: -3457622.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.29+7.414\nAnswer: 7.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*a + 6. Let u = -4 + a. Suppose -o - c + 2 + 9 = 0, -u*o + 4*c + 4 = 0. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n**4 - n**4 + 0*n**4)*(-5 + 0 + 3)*(-76 - 71 + 10) as b*n**3 + c*n**2 + a + i*n + k*n**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 15*m - 4*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6902.\nAnswer: 2, 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -25.1, -524, 2\/5 in descending order.\nAnswer: 2\/5, -1\/5, -25.1, -524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4\/7, -0.04, 1, 2, 603, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(32))**2 + (4*sqrt(200))**2 - sqrt(56)\/(sqrt(567)*-5).\nAnswer: 362*sqrt(2)\/45 + 3233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 223\/270 - 9\/10. Let l = 16\/27 - g. Factor 2\/3*u - 2\/9 + l*u**4 - 4\/9*u**3 - 4\/9*u**2 - 2\/9*u**5.\nAnswer: -2*(u - 1)**4*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6394 and 65\/22.\nAnswer: 70334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d - 3692 = -5*k, 3687 = 5*k - 3*d. Suppose -5*g - 2*h + 1216 = 0, -2*h + 5*h = 3*g - k. Does 49 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 13*i - 21. Let f(t) = 9*t - 15. Let n(u) = -7*f(u) + 5*w(u). Let s(j) = -205*j. Calculate n(s(g)).\nAnswer: -410*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5542800 by -775.\nAnswer: -7152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280557 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.93 + 3. Let s = r - 0.08. Round s to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (27\/(-6))\/(-6*(-3)\/(-6)). Let l(b) be the first derivative of 6*b**2 - 12*b + 5 + 3*b**3 - f*b**4 - 3\/5*b**5. Factor l(x).\nAnswer: -3*(x - 1)**2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - j + 1. Let k(z) = 6*z**3 - 11*z**2 + 21*z - 17. Let l(x) = k(x) - 2*y(x). Is l(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 4*c + 4. Let m = -1 - -4. Let p be -2 - (c + -8) - m. Solve y = -p*n - 14, -22 = 5*n - y - 0*y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 11*i**2 + 10*i - 2. Let d be (-16)\/(-6)*(-15)\/4. Let h be u(d). What is the units digit of 1\/(((-2)\/h)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*b**2*i**2*m - 3*b**2*i + b**2*m + 46*b*i**2*m - 2*b*i*m + 11*i*m - 7*m wrt i.\nAnswer: -26*b**2*m + 92*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*j - 2. Let s = j - 7. Let i(z) = 8*z. Let m(l) = -7*l. Give s*i(p) - 6*m(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-334 + 334 + 4*i)*(2*i**3 + 10*i**3 + 6*i**3) - i**4 - i**4 + 0*i**4 as b*i + o*i**4 + z*i**2 + a + j*i**3 and give o.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -43048813.2 rounded to the nearest one thousand?\nAnswer: -43049000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1216075 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1021 * 63385.\nAnswer: -6471.6085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 8*h - 6. Let y be (14 - h*-1)\/(10\/15). Calculate the highest common divisor of y and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + -38. Solve -3*w + 9 = a, j + 6 = 4*w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -5, 2\/11, -1\/6 in increasing order.\nAnswer: -5, -2\/11, -1\/6, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 22*d**2 - 54*d + 19. Is q(26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 251577 - 1429712095\/5683. Let g = p - 846503\/375078. Calculate the common denominator of g and 83\/15.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 544 and 408.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 2*a = -g - 44, 0 = 4*a - 8. Let p be (3 - g - 1)\/2. Let f(l) = -2*l**3 - 4*l**2 - 3*l + 2. What is the units digit of f(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-22) + 5\/(-10). Which is the third smallest value? (a) 1\/4 (b) -241 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 6:37 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -48605, -48603, -48601, -48599, -48597?\n\"Answer: 2*u - 48607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*f - 11*f + 75*f - 278*f.\nAnswer: -155*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**0\/m))**(-1\/27)\/(m**(-1\/2)\/(m*m**(2\/3))))**(1\/3))**(2\/13) assuming m is positive.\nAnswer: m**(115\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 251562 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*t + 8. Let r(d) = -27*d - 31. Is r(t) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**3\/7 - 879*y**2\/7 + 2590122*y\/7 - 5176704\/7 = 0.\nAnswer: -1088, 2, 793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express c - c + c**2 + (3*c - c + 0*c)*(-1 + 1 - 2*c) - 2*c**2 + 18*c**2 + 12*c**2 + 2*c**2 + 0 + 2 - 1 - 2*c as h*c + w + k*c**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27186219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 6578*c**2\/5 - 26314*c\/5 + 8\/5 = 0?\nAnswer: 1\/3289, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 554, -5, -25, 3\/5, 2\/23, 2\/7?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 7 + 3)*(3*o**2 - 4*o**2 + 2*o**2) + (0 + 0 - 2*o)*(2*o - 4*o + 3*o) as g*o**2 + d + t*o and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -7*b**6\/720 + 2*b**4\/3 - 4*b. Let a(i) be the third derivative of m(i). Let g(x) = x. What is g(a(l))?\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 3869c8?\nAnswer: 3869cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02455 - -30.12745. Let a = -805 + 775. Let o = a + s. What is o rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 672 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.41, 3, 0.09 in ascending order.\nAnswer: 0.09, 1.41, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -0.5, -0.3, -248?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/499 - -15954\/3493. Which is the third biggest value? (a) 0.4 (b) m (c) 0.5 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 13, 47, 97, 169, 269, 403?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**5\/80 + 3*w**4\/32 - w**3\/4 - 6*w**2 + 6. Factor c(a).\nAnswer: -3*(a - 2)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 - 4*p**2 + 16*p**2 - 6*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 142 + -79. Let x = s - 42. Let u = 22 - 0. Is x > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 675876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, 522, -3 in increasing order.\nAnswer: -11, -3, 5, 522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110000011 - 1?\nAnswer: -1110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7988 - -15542. Suppose -3*k - k + j = 2*t, -3*t = -2*k - 11371. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide ((-191)\/(-2))\/(24\/48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -379, -566, -719, -826, -875?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -904 + 8138\/9. Put -2\/3, d, -0.4 in ascending order.\nAnswer: -2\/3, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354776259?\nAnswer: 3, 118258753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000001011 (base 2) in base 7?\nAnswer: -13324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((3*sqrt(315))\/sqrt(7)*3)\/(sqrt(27)\/(-4*-1*sqrt(3))) + 3.\nAnswer: 3 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 364979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 11*m**3 + 7*m**2 - 6*m - 27. Let g(l) = 4*l**3 + 2*l**2 - 2*l - 9. Let t(r) = -3*d(r) + 8*g(r). What is the remainder when t(-6) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(5) + 2*sqrt(500)).\nAnswer: sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8*g**3 - 18*g - 19. What is the units digit of t(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5 - 2\/5*m**2 - 4\/5*m.\nAnswer: -2*(m - 1)*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 1, i: 2, y: 1, m: 2}. What is prob of picking 1 m and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 19 = 2*j, 4*k + 16 = -0*j - 2*j. Is 0 + 1 + (1 - j) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h + 4195 + 2115 - 200 = -53*h for h.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((0 - 0 - -7) + -3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 12:45 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -3195326.\nAnswer: -255626.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3808*n**2 - 3592*n**2 + 5.\nAnswer: 216*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*u + 3*t + 22 = 50*u, 0 = -3*u - 4*t + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, i: 1, e: 2, u: 1}. Give prob of sequence ipu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 v when four letters picked without replacement from vvvavvvvvvvv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 41.6 times 0.4\nAnswer: 16.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**2*k**2 + 79*h**2*k - 10059*h*k**5 + 2*h*k - 7 wrt k?\nAnswer: -4*h**2 - 201180*h*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3 (b) -92 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 + -410?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7542898*z + 4*y = 7542898*z - 20, -23*z - 118 = -4*y for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-10) - 22594\/2145?\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = 84*c - 63*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/7))\/d*d)**(-1\/46)\/(d\/((d**(-1\/2)*d*d)\/d))**(-4\/5)*(d**(-2\/3)*d\/(((d\/(d\/(d**(-1\/5)*d))*d*d*d)\/d)\/d))**(-39\/7) assuming d is positive.\nAnswer: d**(393\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 10*i - 18 = r, 142 = -5*r + 3*i. Let m be r\/(5*(44\/10 - 4)). Which is the closest to m? (a) -3 (b) -2\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -315 divided by 1347.\nAnswer: -105\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3 - 25*t + 0 + 6*t**2 + 2 + 31*t + t**3 = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s**3 - s**2 - 46*s + 65. Is d(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738069 at most as big as 738069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5722613 is divided by 37898.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*0\/(-167).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -11 - (-1 + 9 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-2)*(-76)\/20 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 3, 5.\nAnswer: -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, m: 4}. Give prob of sequence qmmm.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert ce (base 16) to base 6.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/8 of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*y + 489*y - 257*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 8. What is the closest to 2 in 0.2, 0, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2079 = t + h, -78*t + h + 4167 = -76*t. List the prime factors of t.\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 26\/3243, 499.1?\nAnswer: 26\/3243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3336 is divided by 416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1414 + 1625 + 3999)*(2*i**2 + 4*i**2 - 3*i**2) in the form x + t*i + a*i**2 and give a.\nAnswer: 12630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 34 - 31 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 3\/2*(-1 + -3). Suppose 0 = 4*o + 20, -a = 3*k + 5*o - 0. Let j be (1\/1)\/(3\/6). Solve j = y + 3*u, 0*y = -y + 2*u + k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-6))\/((-4)\/(-6)). Factor w**2 + w**3 + w**i - 3*w**3.\nAnswer: -2*w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -56001b + -b?\nAnswer: -560028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**3 + 24*c**2 + 4*c - 2. Let r be w(4). Solve 22 + r = -12*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 8 + 12 + 7*q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.52963 to 1 dp.\nAnswer: -14.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*c**3*y*z**3 + 5*c**3*y*z - 6*c**2*s*y*z**3 - 3*c**2*y*z**2 + 2*c*s*y*z**2 + 2*s*z**2 - y wrt z.\nAnswer: -144*c**3*y - 36*c**2*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 19*h**2 + 18*h + 22. Let j(s) = 2*s**3 + 36*s**2 + 34*s + 42. Let x(p) = 3*j(p) - 5*w(p). What is x(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 3. Let i = -243 - -248.11. Let u = i + -0.11. Put u, p, 0.3 in descending order.\nAnswer: u, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*a - 22986925 + 3126925. What is a rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 1004.124042565.\nAnswer: 1008.124042565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(5)*2 - sqrt(5))**2 - sqrt(55)\/sqrt(44))*-1.\nAnswer: -10 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23387726 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41 - -745396?\nAnswer: 745437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqgqggqgqgqg. Give prob of picking 3 g and 1 q.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 66 + -18 + 50?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2448 and (198\/(-8))\/(1197\/(-27132)).\nAnswer: 26928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530821 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37694*p**2*w**3 - 3*p - w**3 + 106*w**2 - 51*w wrt p?\nAnswer: 75388*p*w**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 0*j + 0*j + j**2 - 3. Let x be r(3). Suppose -2*u = 4*o, 4*o - x*u = -u. Which is the smallest value? (a) -2 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -15 (b) 3 (c) 6\/43 (d) -3\/4 (e) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2072029ug in grams?\nAnswer: 0.0000002072029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415 a factor of 172357430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + a + 3 - 2*a + a + 2*a + 0*a + 3*a - 2*a + (-a + 2*a + 0*a)*(-4 + 2 + 3) - a + a + a + (1 + 2 - 1)*(2*a + 0*a - 3*a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004814 to seven dps.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 68168 = -c, -22940 + 68392 = 2*g - 2*c. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*sqrt(32) + 1 + sqrt(50))**2 + -1*(sqrt(150)\/sqrt(3) - (sqrt(32) - sqrt(128)\/sqrt(4))**2).\nAnswer: -71*sqrt(2) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120296123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*o + 1254 + 1514, 0 = 4*r - 4*o - 2772. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -726 divided by -3\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -85*q + 18. Give p(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -50 + 3*v + 51 - 4*v**4 + v**4 + 31*v - 3*v**3 in the form b*v**2 + g*v**4 + u + m*v**3 + h*v and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1839861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -4*k**3\/3 + 17*k + 27. Let j(r) = 39*r + 4. Give j(m(v)).\nAnswer: -312*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n**2 + n**2 + 546*n - 560*n wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5*v - 3 - 6*v)*(-361*v - 16*v - 571*v) to the form p*v + d*v**2 + j and give d.\nAnswer: 948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.1, -2.9, -710984?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -5*p - 2*w, 0 = -4*p + 2*w - 2. Solve p*j - 5*j - 4*m = -1, j = -5*m + 17 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 - (23 - (15 + (-15 - -16)))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1265243 divided by -180749?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*z**3 + 10*z - 70 wrt z.\nAnswer: -9*z**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -798 and -406.\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**4\/12 + 4*y**3\/3 - y**2 - 10*y. Calculate u(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 186 = -3*b + 194, -b - 39 = 10*t - 18*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/4149 and 62\/5949.\nAnswer: 2742489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4682467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n + 7. Let x be c(4). Let s(w) = -w + 9. Let l(g) = 1. Let y(q) = x*s(q) - 6*l(q). Let z be y(16). Solve -r = -5 + z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -134922*k**3 + 282010*k**2.\nAnswer: -809532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5543\/288 + 1\/288. Let p(q) = -2*q**3 - 11*q**2 - 4*q - 20. Let r be p(-6). Calculate the common denominator of (8\/r)\/(4\/(-30)) and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178899171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43282 - 22336 - 20946 - 5*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (13 + -4 + (-7 - -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4909 to two dps.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*n + 333*n + 39 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*y - 9*y + 3*y)*(-17*y - 7*y + 11*y) - 7*y**2 - 173 + 173 as h*y**2 + r*y + f and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 take away -84869215?\nAnswer: 84869191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.3 (c) -25 (d) -395 (e) 0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(-2\/75)*(r*r**(1\/6)*r)**(2\/83) assuming r is positive.\nAnswer: r**(491\/6225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*q + 3161*q = -28601 - 2499 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**3 - 6*v**2 - 11. Suppose 4*z + 15 = -1. Let p(n) be the third derivative of -n**6\/120 + n**5\/30 + 2*n**3\/3 - 3*n**2. Give z*h(m) - 11*p(m).\nAnswer: -m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-3570822)\/456)\/197*(-2)\/(1\/((-2)\/12))\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7440027773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 + -7.4. Let t = s - -13. Let y = 4.2 + -3.8. Sort t, 4, y in ascending order.\nAnswer: y, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2452618?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*j + 105*j - 10 = 0. Solve -j*p - 8 = -0*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 355, -6, -5, 4, -4 in decreasing order.\nAnswer: 355, 4, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 155, 174, 215, 284, 387, 530?\n\"Answer: t**3 + 5*t**2 - 3*t + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**4\/4 + 3213*a**3\/2 - 271699*a**2\/4 - 69531*a = 0.\nAnswer: -6468, -1, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008)*-1 + -5 - sqrt(1008).\nAnswer: -24*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5851 + 5888. Let q = 47 - -42. What is the remainder when q is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1444466 and 12382?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -441 + 505. Let p(k) = -k**3 + 10*k**2 - 4*k - 10. Let z be p(10). Let r = z + x. Solve -2*b + 4*y = b + r, -17 = 4*b - 5*y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g - 13. Suppose 0*y = 2*z - 2*y + 14, 19 = -z - 2*y. Let j be n(z). What is the units digit of ((-42)\/(-10))\/(j\/100)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -9*v + 35. Calculate the greatest common factor of v and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(((-4)\/2)\/6)\/((-383)\/3447).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b45 (base 13) to base 7.\nAnswer: 110554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -53 (b) 5 (c) -190\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - k**2 + 2*k + 1. Let d(m) = 19 - 32 + 12. Give -d(i) - z(i).\nAnswer: -2*i**3 + i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + d**2 + 0*d**2)*(5*d + 0*d - 3*d) + d**3 - 5*d**3 + 2*d**3 + (-2 + 2 + 3*d)*(d**2 - d**2 + d**2).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 12 + 3*u - 27*u to the form o + i*u and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 305477?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2694 + 2250 = 16*o. What are the prime factors of o?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10508714 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25342889 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4128286709?\nAnswer: 31, 131, 1016569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-150)\/(-9700))\/(((-4)\/(-6))\/((2760\/(-270))\/23))?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.292 - 1.32. Let d = f + 0.0318. Round d to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*s + 907 + 322 + 2693 = 0 for s.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -5*a + 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3802 and -153?\nAnswer: -211.1706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = c, 0 = -n - 4*c + 1 + 5. What is the units digit of (3\/n)\/((-3)\/138)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 11 + 1. Suppose 3*w = r + 8. Let h = 3 + w. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79 * 9\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/45 (b) -3 (c) -5\/84 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 5, s: 4, m: 8, b: 1}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11599539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -29, -1, 3706, -0.3, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 - -86. Suppose -5*r - 3*l + 230 = 0, -2*r + 5*l + 230 = i*r. Suppose 49*b = r*b. Solve b = -5*y - 4*o - 16 + 5, 5*y - 21 = 4*o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -0.3, 30.07, -0.1?\nAnswer: 30.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -607 - -44?\nAnswer: -563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 31. Suppose -k*z + 74 = -168. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2205 - -3288. What are the prime factors of z?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-336))\/(28\/32)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1108\/3 + 6629\/18. Calculate the common denominator of -14\/3 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*sqrt(2736)*-2 - -6*(sqrt(2736) + -1)))**2 + 0.\nAnswer: -480*sqrt(19) + 273604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21964.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 273*t - 13. Let b(h) = 68*h - 3. Let f = -11061 - -11048. Calculate f*b(d) + 3*w(d).\nAnswer: -65*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86177 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 11) to base 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -88091142.\nAnswer: -5\/88091142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**4\/4 - 2*t**3 + 8*t + 14. Give y(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 95, 112, 149, 212, 307, 440?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -44*c**2 - 5*c - 5. Let m(w) = 1715*w**2 + 196*w + 196. Calculate -5*m(l) - 196*x(l).\nAnswer: 49*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21956 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 808112*4.\nAnswer: 3232448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*z)*(69 + 263 + 56).\nAnswer: 776*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -16*x**2 - 79*x + 13. What is u(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38 or 5603\/148?\nAnswer: 5603\/148","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 8*i + 8. Suppose 1227*v = 1178*v - 294. Determine u(v).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-5) - 26\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 3, 191, 5 in ascending order.\nAnswer: 0.02, 3, 5, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -546 * -24.\nAnswer: 13104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -172 + 258. Let o = -89 + a. Let y(d) = d**3 + 6*d**2 + 6*d + 3. Let w be y(-5). Is w at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*q - 18*q - 13*q - 21*q - 14*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22780*k*z - 649*k - 9868548*z with respect to k.\nAnswer: 22780*z - 649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260986808.\nAnswer: 2, 3853, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**4\/24 + 2*x**3\/3 - x**2 + 12. Let z(b) = 1 + 2 - 20 - 3*b. Let j be 30\/(-165) + (-1)\/(-22)*202. Give j*w(n) + 2*z(n).\nAnswer: 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2024 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1939*j + 10993. List the prime factors of c(-22).\nAnswer: 13, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24, -47, -76, -111, -152, -199?\n\"Answer: -3*y**2 - 14*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 3*b + 2. Let a(x) = x**2 - 2*x + 1. Let m(y) = -4*a(y) + 3*i(y). Let u be m(-5). What is the units digit of u\/4*(-8)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, -11, -30, -53, -80?\n\"Answer: -2*r**2 - 9*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/9 + 986\/18. Let k be 100\/x - (-2)\/11. Solve k*l - 8 - 2 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/13 in -0.4, 13.3764, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 15*z**3 + 2*z**2 + 2*z - 3. Suppose 24 = 3*m + 2*w - 9, -5*w = -5*m + 30. What is the remainder when x(1) is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8185921.\nAnswer: 8185921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60915, -121828, -182741, -243654, -304567?\nAnswer: -365480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3603.3 + -3603. Sort k, 4, 41.\nAnswer: k, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-64)\/(-24)*-2*6\/(-8). Let l(i) = 1. Let m(g) = g - 4. Let o(w) = 3*l(w) + m(w). Calculate o(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 139586396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 39 - (-92)\/16?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**3 - 58*s**2 + 3899*s - 104. Calculate p(-47).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2204 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3 - 3 - 333*q**2 + 10*q + 1 + 332*q**2. Calculate x(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94\/188)\/((-170)\/(-2108)).\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1816178.1 hours to days.\nAnswer: 75674.0875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + -2 + ((sqrt(68) - (sqrt(68) - (-3*sqrt(68) - sqrt(68))))\/sqrt(4) - sqrt(17))**2 + (sqrt(17) + -3)*-2 + -1.\nAnswer: -2*sqrt(17) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 724470, 724471, 724472, 724473?\n\"Answer: x + 724469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 - -108. Calculate the greatest common factor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241d8 (base 15) to base 12.\nAnswer: -567a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t. Let x(k) = 14*k. Let q(l) = 12*a(l) + x(l). Suppose 3*g - 7 = -3*y + 11, 2*y + 12 = 4*g. Let r(d) = -d**y - d**2 + d**2. Calculate q(r(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 - 101.392. Let i = l - 0.63. Is 0 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13994188 is divided by 4664724?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 130 = -2*b, -o + b - 104 = -5*o. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120 divided by -70?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*q - 1 = 0, 3*h - 5*q = 18 + 13. Solve -3*c - 26 = -h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**3\/6 - 3*y**2\/2 + 3*y. Suppose 6 = -16*w - 90. Calculate k(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-243)*3)\/(42\/135)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6 = y. Suppose -y*t - 4 - 2 = 0. Let x(o) = o**3 - 6*o**2 + 10*o - 29. Let f be x(5). Is t greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*p**3*z**2 + 2639479*p**3*z - 125695*p**2*z**2 - 3*z wrt p.\nAnswer: 84*z**2 + 15836874*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3)*o**(1\/2)*(o\/(o*o*(o**0*o*o*o*o)\/o*o))\/(((o\/(o\/(o\/o**(1\/6)*o)*o*o)*o)\/o)\/o))**(28\/5) assuming o is positive.\nAnswer: o**(-224\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 5:45 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171941 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**3 - 6*p**2 - 4*p - 7. Let r(m) = m**3 + 1. Calculate d(w) + 6*r(w).\nAnswer: w**3 - 6*w**2 - 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32.0000046 + 32. What is v rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 595 = -3*w. Suppose 4*h + w = 5*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (-8492)\/14) + (-328)\/574. Let o = 114 + k. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42944.7567 to the nearest 100.\nAnswer: -42900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 24 = -4*p, 6*w = 5*w - 4. Let h be 40\/35 - ((-4)\/p - 6). Which is smaller: 6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**2 + 118*n + 54. Let p be v(-29). What is the closest to -65\/3 in p, 2\/13, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l**2 - 5*l + 5. Let t(z) = -15*z**2 + 12*z - 12. Let i(a) = 5*t(a) + 12*u(a). Let c(j) = -5*j. Determine c(i(x)).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2. Let g(x) = 931014999*x. Calculate g(c(l)).\nAnswer: -1862029998*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**4\/9 + 2420*t**3\/9 - 41570*t**2\/9 + 181420*t\/9 - 71984\/3 = 0.\nAnswer: -1227, 2, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -51.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 3. Let i(z) be the first derivative of z**2\/2 + z - 1934. Let x(u) = -3*u - 3. What is n*x(s) - 4*i(s)?\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*n + 6*f + 64, 2*f - 92 = -3*n. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9090)\/54)\/(20\/(-1212)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**2\/2 + 8*h - 426. Determine i(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, w: 1, y: 1, m: 1, q: 1}. Give prob of sequence yyqy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 + 26 + 9 + 24 - 59 - 13*z**3.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfdodorodoyjfyo. Give prob of sequence ffrd.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.1 - -17.17. Does x = 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1491 * 0.2.\nAnswer: -298.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -93, -189, -277, -351, -405?\n\"Answer: x**3 - 2*x**2 - 97*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1 - 4 + 5 + 0 + (-2 - 5 + 1)*(-3 + 0 + 1) + (-1 + 1 - 2)*(-1 + 0 + 2))*(2*j**4 + j**4 + 0*j**4).\nAnswer: 30*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**4 + 38184*h**3 - 535120*h**2 + 2294112*h - 2753280 = 0. Calculate h.\nAnswer: -9560, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 - 80. Find the third derivative of 11*d**2 + 35*d**4 - 11*d**3 + t*d**3 - 32*d**4 wrt d.\nAnswer: 72*d + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (484 + 69*f - 484)*(4*f - 1 - 1 + 0) as w*f**2 + r + x*f and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5, -v - 3*v + 325 = -x. Let f = 82 - v. Let i = 136\/7 + -19. Which is the closest to f? (a) -0.3 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**4\/4 - 186*a**3 + 20613*a**2\/4 + 493077*a\/2 = 0?\nAnswer: -269, -26, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021278739 to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 5, -0.2, 2\/9, -1.\nAnswer: -1, -1\/4, -0.2, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8584?\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1417720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 4. Let p be x(-2). Let h(s) = -s**3 - 2*s**2 + 2*s - 4. Let b(n) = 6*n**3 + 11*n**2 - 11*n + 21. Give p*b(l) + 11*h(l).\nAnswer: l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**6\/720 - n**5\/24 - n**4\/3 + 8*n. Let o(y) be the third derivative of r(y). Give o(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - 2*h**2 - 2. Let z be b(2). Let w(u) = -u**2 + 8*u. Let x(i) = 2*i**2 - 16*i - 1. Let r(f) = 7*w(f) + 3*x(f). Give r(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*g**3 - 33*g + 4*g**2 - 2*g + 5*g + 38*g.\nAnswer: 64*g**3 + 4*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 12*a + 18. Is 38 a factor of k(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 8736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2591 in -8, -0.5, 7, 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*z - 90. What is the units digit of 4*(z\/(-6))\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47554514*z**4 - 3*z**2 - 60935*z + 104 wrt z?\nAnswer: 1141308336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12451, 12446, 12431, 12400, 12347, 12266, 12151, 11996?\nAnswer: 11795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6058*i. Let v(n) = 267*n. Determine v(j(l)).\nAnswer: -1617486*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-4)*x*x**2*x)\/(x**(-2\/7)*x*x\/(x\/x**(3\/5))) assuming x is positive.\nAnswer: x**(-11\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/5)*c)\/c)**19*(c*c*c**2*c)\/c*c*c\/c**(4\/9) assuming c is positive.\nAnswer: c**(592\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3328.9867 - 3329. Round i to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**8*s*s**0 assuming s is positive.\nAnswer: s**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46\/3271, -35, 15 in ascending order.\nAnswer: -35, 46\/3271, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esh when three letters picked without replacement from ehsseee?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 10:14 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2 - ((-2 - 0) + -2)) + (66 - 143 - -119)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5*j*j\/(j\/(j\/j**(-1\/5))*j))**(-29\/5)*j**(-2\/15)*j**(-6)*j*(j*j*j**(-6))\/j**(3\/8) assuming j is positive.\nAnswer: j**(-27281\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m + 13079 - 25470 + 12391.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4435858*h = -4436007*h + 298 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 25.3*-298.5\nAnswer: -7552.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05713005 rounded to 5 dps?\nAnswer: 0.05713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 0.045.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101100010100000 + -1000011?\nAnswer: -1010101100011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + 3*r**3 - 2*r**3 + (186*r + 160*r - 200*r)*(0 + 0*r**2 + 2 + 3*r**2).\nAnswer: 440*r**3 + 292*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -788*r + 18248. Give l(23).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 950.2 + -878. Let h = -67 + x. What is h rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -116247 + 4?\nAnswer: -116243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -190.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d - 0*d + 105. Solve -5*x = 10 - d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 10*q**3 + 2*q**2 - 6*q - 3. Let n be x(3). Suppose u - 5*u = -3*f + 174, -u + n = 5*f. What is the highest common divisor of 27 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**4\/12 + 23*x**3\/6 - 3*x**2 - 134*x + 1. Calculate the lowest common multiple of 24 and s(22).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 - 57. Solve l*w + 5 = -3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*(sqrt(448) + 0) - (1 + (sqrt(448) - (2 + sqrt(448))))))**2 + 2.\nAnswer: 192*sqrt(7) + 16134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -69. Let a = z + -23. Let s = 32 - a. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163644 plus 0.06709306?\nAnswer: 163644.06709306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(((-880)\/5)\/4 - 3). Let a = m + -59. List the prime factors of a.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1706 (base 8) to base 14\nAnswer: 4d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + 9 - -15 - 23) + 3 - 20?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0449 + 0.38\nAnswer: 0.4249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1143743027 to the nearest integer?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3739, -3669, -3479, -3109, -2499?\nAnswer: -1589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5233956, 5233960, 5233964, 5233968, 5233972, 5233976?\n\"Answer: 4*w + 5233952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 17. What is the units digit of (h - 1)\/(34\/85)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-21) - (-1 + 0). Let x = 3.507 - 3.007. Which is the fourth biggest value? (a) h (b) 0 (c) x (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = t + 12865, -1566 = 2*o - 2*t - 6720. List the prime factors of o.\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -281 - -338. Let k = -61.5 + i. Sort 5, k, 0.2 in decreasing order.\nAnswer: 5, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from {m: 4, e: 4, x: 2, b: 1, l: 6}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 10, 9, 0, -17?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 100006*y - 12. Let l be a(2). Round l to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 63\/13, -79, -3\/7, 5\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 9.08. Let n = 74369.7 - 74370. What is the biggest value in a, n, -0.1, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 - 48. What is the remainder when 5 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 598708757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 11. Let b(o) = o + 12. Let p(w) = -5*b(w) - 6*t(w). Calculate the least common multiple of p(-2) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -15*s**5 - 3741*s**4 + 243936*s**3 + 98172*s**2 = 0.\nAnswer: -303, -2\/5, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 52\/5 of a milligram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 6*u + 7. Give s(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(20)\/sqrt(4)))\/(-5*sqrt(36)).\nAnswer: -sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 49*g**2 - 6*g + 6. Let b(h) = 344*h**2 - 43*h + 43. Determine 6*b(r) - 43*t(r).\nAnswer: -43*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 251473560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*c + 1 = 0, 5*c = -o + 6 - 0. What is the common denominator of 2\/(-6)*214*25\/((-6000)\/(-36)) and ((-102)\/(-180))\/(o\/9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3893, -3825, -3697, -3497, -3213?\nAnswer: -2833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.752286 litres?\nAnswer: 8752.286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**4 + 0*g**4 + 35*g**4)*(2 - 2 + 2).\nAnswer: 78*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) 31810 (c) 1 (d) 28 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 141, -2, -0.1, -3, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**5*v)\/v**8)**46\/(v*(v**(-5)*v)\/v*v**(-3\/4))**(2\/11) assuming v is positive.\nAnswer: v**(-993\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11517128 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 5*d**2 + 4*d - 7. Let f be a(-6). Let y be -3 + 10\/2 - 4. Let r = f - y. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5136 >= -99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2546, -4879, -7212?\n\"Answer: -2333*q - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*n + 32 + 0*n**2 - 11*n**2 - 19 - 12 to the form d*n**2 + x*n + f and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15872)\/56 + 2 + (-55)\/35. Which is smaller: h or -284?\nAnswer: -284","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 23*m + 180 = 0. Calculate the lowest common multiple of 3 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -781.4 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.2, -14, 0.5, 698?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.2 + 9.8. Let u = 59 - 58.73. What is the third biggest value in u, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.4 (b) -2 (c) -1493 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**7\/30 - b**3\/3 - 2*b**2. Differentiate s(x) with respect to x.\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 5*a**2 + 2*a + 26. Let d be f(6). Suppose -5*x = -4*h + 487, -6*h - 124 = -7*h + d*x. Calculate the least common multiple of h and 10.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 - -47. Let p = 4.065 - 0.065. What is the fourth biggest value in -2\/13, 1\/7, p, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 215*c + 1404 + 178*c**2 + 446*c**2 - 213*c wrt c?\nAnswer: 1248*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/2)\/(3\/4). Suppose 0 = 5*k + 2*y - 180, 5*k - 180 = -0*y + s*y. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u + 27. Let j be g(6). Let t be ((-1)\/(-3))\/((-28)\/j). Which is the closest to 0? (a) -2\/7 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 835020 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5 = 0, 5*v + u - 155 = -u. Let f = -25 + v. Solve -3*y + f = 5*q, -2*q = 2 - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195985 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooooo. Give prob of sequence oo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/24)\/((98\/14)\/(-14)*(-1)\/(-6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.3464mm in kilometers?\nAnswer: 0.0000293464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 8, -s = 5*l + 4*s - 55. Factor 3*j**2 + 20*j**4 + 2*j**3 - 20*j**3 + l*j**4 - 12*j**5.\nAnswer: -3*j**2*(j - 1)**2*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 65 = 3*s. Suppose -4*d = -5*d + 41. Suppose 4*r + 5 + 17 = c, -3*r = 5*c - d. What is the remainder when s is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3200*s**4\/13 - 1472857440*s**3\/13 + 73642878*s**2\/13 - 920536*s\/13 = 0.\nAnswer: -460268, 0, 1\/40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1100) - (sqrt(1100) + -1)) + 0)*-4*6 + -2*(-2 + -3*(sqrt(1100) + -1))**2)*-2.\nAnswer: -240*sqrt(11) + 39652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4681086 is divided by 297?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/168 and 115\/1713972.\nAnswer: 23995608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 132033149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 230 and 535.\nAnswer: 24610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.65 + 0.35. Let m = 2582\/17 + -152. What is the closest to 0.2 in -1\/7, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5070 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 are the prime factors of 9527?\nAnswer: 7, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*b - 6, 5*b + 0*r = 3*r - 2. What is the smallest common multiple of 9 and (30\/(-20))\/((-1)\/b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 29885*u - 657498. Determine p(22).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*m - 24 = 5*m, 3*m = -j + 23. Let w(n) = -n**3 + 6*n - 11*n**2 - 5*n - n**3 - 8 + 3*n**3. Let r be w(j). Sort -3, r, 1 in descending order.\nAnswer: r, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -1, -73, -2\/7, 0.4, 4\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/7 + 20688898*s**3\/7 - 107007604424701*s**2\/7 - 214015270916100*s\/7 - 107007645802500\/7 = 0.\nAnswer: -1, 10344450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.28 - 0.28. Let w be (-2)\/3*1\/4. Which is the second smallest value? (a) -3 (b) -4 (c) w (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c - 770. Suppose 5*b - 2*p = -6*p + 285, p + c = 3*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 + 15*q - 4. Let n be x(-6). Solve -n = -7*s + 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3*u - 11, -4*q - 3 - 5 = 4*u. Let t = -822 + 820. Let i be ((-676)\/104)\/(t\/4). What is the greatest common factor of i and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.54456 millilitres in litres?\nAnswer: 0.04054456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2476563 and 3306?\nAnswer: 2729172426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 3*m - 7. Let r be o(-5). Suppose r*u = -14 + 5. Let x = -4.03 - -0.03. Which is the biggest value? (a) u (b) x (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 265 - 262. Let m be 2 - (0 + (-2 - -1)). Let c = 6 + -4. Solve m = c*y - d*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 330 - 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*j = -3*y + 261*j - 16, 0 = 5*y + 2*j - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 = 0, -4*w + g = 5*g - 104. Suppose 9*p = 4*p - 25. Let r = p + w. What is the highest common factor of r and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4\/5 + 105342*a**3\/5 - 42138*a**2 + 105346*a\/5 = 0. What is a?\nAnswer: -52673, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/5*32\/((-256)\/(-40))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by (-1 - 6)*(-12 - -9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -14*s + 8. Let c be r(-4). Suppose v - 3*v + c = -4*g, g = -2*v + 84. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -133?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2379306248 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 0)*(1 + g - 1) + 4*g + 4 - 4)*(-20 - g + 20).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, z: 1, w: 3}. What is prob of sequence wtw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2 - 5 - (-345 + 342)) + 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1094*u + 261*u + 2 + 351*u + 275*u + 253*u.\nAnswer: 46*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((6 + -7 + (-90)\/(-130))*91\/(-42))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -155*b**4 + 350*b**3 + 200*b**2 - 440*b. Let j(q) = 7*q**4 - 16*q**3 - 9*q**2 + 20*q. Let w(y) = -2*g(y) - 45*j(y). Suppose w(c) = 0. What is c?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:00 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 + 2?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26624966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from effttfeftfsft.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 5 + 2*t - 3)*(0*t - 3*t - t).\nAnswer: 8*t**2 - 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w - 123. Calculate p(-31).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -7*s - 32. Let q(g) = -g**3 + 7*g**2 + 7*g + 3. What is q(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31983.\nAnswer: 3, 7, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740334.\nAnswer: 2, 3, 7, 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(2*l**2 + 4 - 4)*(0 + 3 - 2)*(6*l + 5*l - 6*l) + 0*l**3 + 0*l**3 - l**3 + (-2*l**2 - l**2 + l**2)*(3 + 2*l - 3).\nAnswer: -45*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 = -171*i + 139*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 91?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*u**2 - 160*u**2 - 143*u**2.\nAnswer: -498*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(13\/3 - 1). Let x(z) = -z**3 - 11*z**2 - 10*z + 5. Let l be x(q). Let w(a) = a + 4. What are the prime factors of w(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 + 129*z**2 + 59*z + 359. Calculate m(65).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckk when three letters picked without replacement from {c: 8, k: 5}.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 4*i = -r + 443, -1747 = -4*r + 5*i. Let m = 476 - r. Calculate the remainder when 189 is divided by m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106146, 106148, 106150?\nAnswer: 106152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.5 in -4, 1\/7, 18\/1015?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2220, 2270, 2320, 2370?\n\"Answer: 50*v + 2170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -1\/4 (c) 55 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1156 (base 10) to base 15\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5485, 5511, 5537?\nAnswer: 5563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z. Suppose s - 3*x + 20 = z, 2*s = -s + 3*x - 60. Let c be (-69)\/(-12) - 5\/s. Solve q - 3 = 2*a, -3*a = -c*a - 2*q - 22 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 29. Suppose -z + 61 = 2*k. Let b = 12 + k. Does 23 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1966770 is divided by 192.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from {y: 2, h: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49512136 is divided by 17759?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4*c + 2*l + 2, 2*c + 3*l - 17 = 0. Suppose 0 = 3*q + c*r - 5095, 0*q - 3*q = 2*r - 5087. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 305 + -243. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 124 = 51. Suppose 0 = -34*g + r*g - 9. Calculate the highest common divisor of 81 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a = -h + 11, -a + 4*h = -7. Differentiate 2*c**3 + 0 - 2 - 6*c**a with respect to c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 8777*l + 308416. Determine w(35).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*23\/(-138)*-12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -9. Suppose 135 = w*t - t. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 828 + ((-99)\/81)\/11*-9.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - 0) - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**4\/6 + 49*z**3\/6 - 190*z**2\/3 + 400*z\/3 = 0.\nAnswer: 0, 4, 5, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9811, 10168, 10527, 10888?\nAnswer: 11251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3690966 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 195735 and 11.\nAnswer: 2153085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3196688 or 3196645?\nAnswer: 3196645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 54 = 3*o + 3*y, 4*y = 2*o - 46. Suppose 967 = -32*s - 1337. Let j = o - s. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 9*h**5\/10 + 3*h**4 - 88*h**3\/5 - 217*h**2\/5 + 343*h\/10 - 6 = 0.\nAnswer: -5, -3, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -215246, 4, 1, 0 in ascending order.\nAnswer: -215246, 0, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 95, 92, 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**2*p**3 - 1532*j**2*p**2 - 234*j**2 + 5*j*p + p**3 wrt p?\nAnswer: -6*j**2*p - 3064*j**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -759.717 rounded to the nearest integer?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 118\/14 + (-9)\/21. Suppose o - 3*a - 96 = 0, v*o - 4*o + 3*a = 384. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135 by 45.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10398 a multiple of 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*h + 149, -h = -j - j + 81. List the prime factors of j.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5\/4 - 1041*u**4\/4 - 5237*u**3\/2 - 9445*u**2 - 14706*u - 8408 = 0. What is u?\nAnswer: -4, -2, 1051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 183301.7272 rounded to the nearest ten?\nAnswer: 183300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4729311?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, q: 15}. Give prob of picking 2 q and 1 g.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14465 and 40502?\nAnswer: 202510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 0*a + 6*a + (2*a + a - 4*a)*(-1 + 3 - 3).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -87005, -4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*p + 17766 = 3*l + 114*p, -4*l + 4*p = -23656. List the prime factors of l.\nAnswer: 2, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + z**3 + 2)*((5 - 2 - 4)*(94 + 4*z**2 - 94) + (z + 4*z - 4*z)*(0*z + 4*z - 2*z) + 0 + 0 + z**2) - 54*z - z**5 + 54*z + 18*z**3.\nAnswer: -2*z**5 + 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.55 - 0.477. Let l = 0.073 - x. Which is bigger: l or -1\/36?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 1. Let d(g) = 4*g + 11. Calculate -d(c) - 6*u(c).\nAnswer: 2*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**4 + 3*i**3 - i**2 + 5*i + 4. Let c(v) = 3*v**4 - 2*v**3 - 4*v - 3. Let l(m) = 4*c(m) + 3*n(m). Suppose l(x) = 0. What is x?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249 - 2*c - 913 + 247 + 282.\nAnswer: -2*c - 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f + 7*f + (2*f + 1 - 1)*(2 + 2 - 5))*(0*f - 5*f + 3*f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.18236 - 0.19. What is g rounded to four decimal places?\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.8 - 10.1. Let a = b - -13. Sort a, 0, -1\/3 in decreasing order.\nAnswer: a, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -6, -10.1, 773, 2 in increasing order.\nAnswer: -10.1, -6, -1, 0, 2, 773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*m - 1 + m + 21*m to u + l*m and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106225735.\nAnswer: 5, 7, 11, 275911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11.7, 79, -0.3, -2\/11?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22142, -88458, -198950, -353618?\nAnswer: -552462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1459\/6 + -243. Put i, -3.6, 4 in ascending order.\nAnswer: -3.6, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100016 divided by 5\nAnswer: -1100016\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + -3*(sqrt(539) + 5*(sqrt(539) + 2 + sqrt(539) - sqrt(539)) + sqrt(539) + 3*(sqrt(539)*2 - sqrt(539))))**2.\nAnswer: 80640*sqrt(11) + 2916744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-one halves of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -41. Let d be g\/(-10)*(2 - 0 - -8). Suppose 7 = v + 3*q - d, 0 = 2*v - 3*q + 6. Solve -r + 3*r + 2*o = 6, -6 = -v*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 - 54) + 240 + -163?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -29*a + 5*y - 32, -2*y - 1520 + 1488 = 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25616 divided by -12808?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 5. Let k(i) = -i**3 - 9*i**2 + 10*i. Let a be k(-10). Let f be w(a). Solve 2*h**5 + 12*h**3 + 2*h**2 - h**f - 2*h**4 - h - 12*h**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 411 - 53?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*m - 1306*m - 11582 = 1322*m + 45969 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -37380 times 1\nAnswer: -37380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 911, -4\/513 in descending order.\nAnswer: 911, 2\/3, -4\/513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1044133*b**5 - 5*b + 136718 wrt b.\nAnswer: 20882660*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9 - 5 + 5 + 4*l**2 - 9*l. List the prime factors of x(-5).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/294336 and -5\/112?\nAnswer: 294336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 + -0.1. Let v = 528 + -527.98. Let p = 4 + -7. Which is the nearest to j? (a) p (b) v (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a**2 + 20*a**2 + 29*a**2)*(-a + 3*a - 5*a)*(3*a**2 + 4*a - 4*a).\nAnswer: -369*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 512, -939, -4350, -9721?\n\"Answer: -980*o**2 + 1489*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + -4 + (5*sqrt(143)*-2)\/((sqrt(231)\/sqrt(7))\/sqrt(3))).\nAnswer: 40 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.6 + -69796.\nAnswer: -69817.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 * -557.\nAnswer: 21166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*j**3 + 1146*j**3 - j**2 + 495*j**3 + 439*j**3 + 38.\nAnswer: 1742*j**3 - j**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-310)\/28)\/(276 - 271) - -2*1.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w - 3*w + 9 - 13*w + 60*w - 8*w - 22*w.\nAnswer: 31*w + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 5*v**2 + 9*v - 11. Give s(10).\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*r**4 + 79 - 76 - 2*r - 2*r**2 + r wrt r.\nAnswer: 456*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40042944?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*u = 2*z + 2, 0 = -z - 5*u + 7. Solve 5*c + 23 = -z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 1 + 11 - 18 = 13, -27*z = -24*z - g - 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3*84\/(-112))\/(4\/(-64))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w - 4. Let n(f) = -14*f + 7. Let o(q) = 5*k(q) + 3*n(q). What is the lowest common multiple of o(-1) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -137*t - 5218. Determine c(-33).\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415489803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k - 2*s + 6, 3*s = -9. Suppose -5*g - k*m = 2*m - 50, -2*g - 5*m + 26 = 0. Suppose 3*a - 28 = g. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4459022187?\nAnswer: 3, 1486340729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2288297922?\nAnswer: 2, 3, 23, 31, 157, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 81 + -4 + 2 + 1. Suppose 4*b - 5*b = -m. Is 1 - (b\/1)\/(-4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 1246?\nAnswer: 3738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t + 22. Let r be u(-14). Let v be r\/(-9)*4*(-12)\/(-16). Let g(o) = 4*o - 2. Give g(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 28535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9296 and 153776.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 30. Let g be v(19). Let a(t) = -t - 8. Let r be a(g). Solve -n = -r*n + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -51*u**3 - 7*u**2 - 8. Let q(a) = -101*a**3 - 14*a**2 - 18. Determine -9*i(v) + 4*q(v).\nAnswer: 55*v**3 + 7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 992 = 4*o, -17 = -o - 13. Calculate the remainder when h is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 2*n + 540 = -20*z, 0 = -4*z + 4*n - 74 - 34 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101546, 101813, 102080, 102347, 102614?\nAnswer: 102881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*i - 61558 + 4907, 4*i - 5*x - 75509 = 0. Is i a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(352\/(-72)) - (-12)\/16. Solve c + 2*c = 2*g - b, g = c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 3. Let x(l) = 2153*l + 94. Let v(j) = -4*f(j) - x(j). Is v(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6670600?\nAnswer: 2, 5, 33353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000100100 + -101101?\nAnswer: -110001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-2)\/((-3)\/(-3)*11\/(-77))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/3)\/((-214)\/321).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 4\/23?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 135*z - 73*z - 83 - 66*z. Let s be h(0). Let u = s + 118. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-20)*(-15)\/2*8. Let l be ((-6)\/(-424))\/(u\/(-72)). Is l greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (20 - 10 - 22)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/18*21\/(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {t: 2, z: 4, v: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*o**3*z + f*o**3 + 79*f*z + 1694*o**3*z - 24*o**3 + 26997*o**2*z + 1 wrt o.\nAnswer: 12*f*z + 6*f + 10164*z - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -276, -616, -1090, -1698, -2440, -3316?\nAnswer: -4326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.9 + 18.9. Let z = 0.1 - 2.1. Suppose 0 = m + 3*m. Which is the second smallest value? (a) j (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7a05a9 + -3?\nAnswer: 7a05a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 1 = -d + 5, 2 = 2*d + 4*w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + 20*h**2 + 69*h + 113. What is b(13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -70*x**2 + 682*x + 28. Determine o(11).\nAnswer: -940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.073 and -909331335.\nAnswer: -909331339.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*m**2\/7 - 56004*m\/7 + 3946038\/7.\nAnswer: 6*(m - 9263)*(m - 71)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/31, 0, 1.2, 2345 in decreasing order.\nAnswer: 2345, 1.2, 0, -6\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, q: 1, r: 1, l: 7}. What is prob of picking 4 p?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 0 + (2 - 8) + 4\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -90\/13 or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33392, -67120, -100848, -134576, -168304?\n\"Answer: -33728*q + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -12. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13726 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17099 + -17096. Suppose -7 - 25 = -4*z. Let j be (-3 - 1)*(-4)\/z. Solve q*t - 10 = -j*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -197 + 3*x**3 + 199 + 0*x + 0*x - 32*x**2 to u*x**2 + f + p*x**3 + v*x and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215601686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**3\/f)\/f)**(2\/29)\/(f**(2\/11)\/(f*f**(-4\/7)*f)) assuming f is positive.\nAnswer: f**(3092\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)\/y)**(26\/5)\/(((y\/(y**(-3\/4)*y))\/y)\/y*y*y**(2\/7)*y*y) assuming y is positive.\nAnswer: y**(-1741\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 2628018.515 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5681 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -474 divided by 2.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lluuuullul.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/185 = -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 9:21 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -6. Let x be 2 + u*1\/2. Let w(f) = 5*f**3 - 2*f + 2. Let o be w(1). Put 2, o, x in ascending order.\nAnswer: x, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119 + 35. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*w - 21*w + w)*(-w**2 - w**2 + w**2 + (w**2 + 0*w**2 + w**2)*(-15 + 6 - 14)) to r + m*w + u*w**3 + h*w**2 and give u.\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4736 is divided by 1842?\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.10889945 and -43545155?\nAnswer: 43545154.89110055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.215 (b) -3.9 (c) 4\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14633869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-204)\/(-864) + 3\/(-24))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2 - 3*r + 3. Let w be f(2). Let a = 62 - w. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2501 is divided by 218?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 153227 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + f - 32 = 0, 0 = -5*b + 1685*f + 1681*f - 3369*f + 100 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.265926+-11\nAnswer: -10.734074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 27 = -4*u + 10, -2*b - 3*u - 19 = 0. Let t(n) = n**2 + 11*n + 8. Is t(b) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -2\/15, 1\/2, -265 in decreasing order.\nAnswer: 1\/2, -2\/15, -1, -4, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8*g + 12. Let y be s(10). Suppose 0 = 4*i - z - y, 4*z + 1 = 4*i - 91. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 35.4. Let n = s + -0.6. Let g = -29 + 25. Which is the closest to n? (a) g (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3550520*z**2 + 1591624*z?\nAnswer: -7101040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 118*w**2 - 83*w**2 + 201*w**2.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34357?\nAnswer: 17, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 5 - -9) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/5)*z\/(z\/(z*z\/(z**(-2\/3)\/z*z)))*z*z*(z*z\/(z*z**(-1\/3)\/z*z))**43)\/(z**(1\/5)*z**0*(z**(-3)*z)\/((z**7\/z)\/z)) assuming z is positive.\nAnswer: z**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14497*o - 7286*o + 2*o**3 - 7211*o - 53*o**2.\nAnswer: 2*o**3 - 53*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + m + 5. Let d be j(0). What is the nearest to d in 0.4, 0.1, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i - i + 2 - 2*i)*(-186 + 108 - 451) to c*i + h and give c.\nAnswer: -1058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 109443*o**2\/2 + 344946*o + 543606 = 0.\nAnswer: -602\/191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 341 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/105 and 89\/24.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -134*t + 112 - 112 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**2 - a - 40152*a**3 + 2*a + 40137*a**3 as x*a**2 + z*a + p*a**3 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2 = 86. Let g be ((-2)\/(-14))\/(-6*3\/i). Suppose 2*m + 4 + 0 = -n, 5*m - 2*n - 8 = 0. Is m less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1041976 - 1041970.00001. Let o = 6 - z. Round o to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/27, 5, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*p + 5*p + 28841*p**2 + 5727*p**3 - 28748*p**2 - 15*p wrt p?\nAnswer: 34362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-30)\/15))\/((-1)\/(-7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 5*s - 4*g + 3*g, 0 = 4*g - 4. Let h = 25 - 43. Let i = h + 24. What is the remainder when s is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 2 + 3 - 2*(sqrt(3) - -1*sqrt(3)).\nAnswer: -3*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 0.4 (c) -0.09 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -683802*b**3 + 127130*b**2 wrt b?\nAnswer: -4102812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*x - 9 = 3*u, 0 = -x + 5*u - 5. Suppose 2*h = 57 + x. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2777?\nAnswer: 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**3\/6 + 9*s**2\/2 - 165*s - 8. Let m = 11 + -15. Let k be b(m). Solve 0 = -k*u - 2*i + 13, -4*i + 19 = 4*u - u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5009358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (95 - 45) + (13 - -1).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*(1 + sqrt(1008)))**2 + ((sqrt(700)*1 + sqrt(700) + 4)*-2)**2.\nAnswer: 1024*sqrt(7) + 27408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + u = -6*g + 111, -3*g + 96 = 5*u. Let z = 8 + g. Let t = 4 + z. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/5756 and 95\/4990452.\nAnswer: 4990452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 899 in 1\/4, -2\/13, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2184 + 7ab7?\nAnswer: 5933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 4*u + 1. Let t be k(-3). Let g be 209\/(-798) - t\/12. Which is the nearest to -16? (a) g (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 11:52 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3250, 3252, 3254, 3256, 3258?\n\"Answer: 2*h + 3248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -40. Does 6 divide (-12)\/(-2) - (3 + r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59228 - -8291981\/140. Calculate the common denominator of -1\/7 and y.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9 from 71.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 303\/761 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 5. Let b = d - -6. Calculate the remainder when (-135)\/(-21) + (30\/35)\/(-2) is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s - 55*s + 5*s)*(3 - 2 + 1)*(-1 + 4 - 4) + s + 2*s - 4*s + (1 + 19*s - 1)*(-3 + 0 + 4)*(-1 + 2 - 2).\nAnswer: 64*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8)*84\/(-189)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 3, -1\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54500 (base 7) to base 16.\nAnswer: -3536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -73, 0, -6, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 14*x + 2*t = -26, 4*t = -4*x - 36 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3728 + 3733. What is the nearest to -0.062 in 3\/2, -0.1, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxuixixi. Give prob of sequence xuii.\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140.9 - -5.8. Let q = m - -232.2. Round q to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 5*k**2 + 15*k - 42. Let s be u(4). Find the second derivative of 31*q + 16*q + q**2 + 18*q + s*q**2 wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 32 = 2*g. Suppose 0*o = -5*y + 4*o - 50, -4*o + 30 = -3*y. Let k be (-115)\/(-25) + (-4)\/y. Solve -g = -k*r + r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4050988?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -842*a**3\/3 + 16*a**2 + 2*a + 1315. Find the second derivative of c(f) wrt f.\nAnswer: -1684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, w: 1, z: 1, o: 1, p: 1, f: 2}. Give prob of picking 1 p, 1 f, 1 e, and 1 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 22 = 3*c, 3*t - 1 = 2. Let u(b) = b**2 - 7*b - 7. Calculate u(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.18, 2, 2\/9, -0.4 in decreasing order.\nAnswer: 2, 2\/9, -0.18, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1115306 * 27.4\nAnswer: -30559384.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -835270, -835192, -835108, -835018, -834922, -834820?\nAnswer: -834712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 187432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-14)\/2 + 5)*-281550. Round k to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(8\/5)*i*i))\/(i**(1\/4)*i)*(i**1\/i)**(-2\/5))**(5\/7) assuming i is positive.\nAnswer: i**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 + 0)*(-2 + 0 + 4) + 4 + 0 - 6 - 1 + 2 - 2)*(0*d - 2*d - d) + (2 - 3 - 1)*(-632 + 12*d + 632).\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 23 + 129 = 0. Calculate the least common multiple of 6 and j.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9953 + -b5?\nAnswer: -9a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5668887215.\nAnswer: 5, 19, 59672497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -8*b**3 + b**2 + 3*b + 2. Let q be j(3). Does 8 divide 12\/(-18) - q\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4104439946?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6*3\/48*(-10)\/15\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1249 + 3*c**2 + 3*c - 3*c + 1249.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g**5 + 4*g**4 + 14*g**2 - 20*g + 662 wrt g.\nAnswer: 120*g**3 + 48*g**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 5988 - 5985 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t + 3. Let n be m(3). Let a(r) = -5*r - 4. Calculate the remainder when a(n) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 5*w**2 + 3*w - 8. Let s be m(2). Solve -s = 20*z - 18*z - 4*k, -z = -5*k + 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 15. Which is the closest to 0? (a) -1\/5 (b) -0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 6, 1\/7, 12, -36\/11, 210.\nAnswer: -36\/11, -0.1, 1\/7, 6, 12, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 2*g - 9)*(-50*g**2 + 23*g**2 + 12 + 30*g**2) as z + a*g**2 + r*g + p*g**3 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z - 217 + 3*z**2 + 217.\nAnswer: 3*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377543, 377514, 377465, 377396, 377307, 377198, 377069?\nAnswer: 376920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-40))\/((-9)\/(-48))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 1 + 0\/4. Find the second derivative of -3*p - 2*p**4 + 3*p**4 - g + 3 wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f + 13 = -5*k + 20*f, -8*k - 10 = 5*f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -22858*t + 1. Let i(o) = 11*o**2 + o. Determine r(i(p)).\nAnswer: -251438*p**2 - 22858*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 9:50 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z + 5*z**2 - 5*z)*(-3 + 3 + 1)*(-45 + 15 - 62).\nAnswer: -460*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 + 10 + 4 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3543698 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 540989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.27 (b) 122 (c) -2 (d) -0.3 (e) 3 (f) 2 (g) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 12*m + 4 = -8*m, 3*m - 9 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - a = 4*n - 5*a, -n = -3*a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -2\/69, -11\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -56 + 0*p + 1\/2*p**2. Let d(y) = 94*y. Give d(v(i)).\nAnswer: 94*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (3 - (-8 + -13 + 12)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1377) - (2*sqrt(1377) + sqrt(1377)))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54468961 rounded to 4 decimal places?\nAnswer: 0.5447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225920.1l to millilitres.\nAnswer: 225920100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 500554.1 to the nearest 1000.\nAnswer: 501000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2803 = 5*s, -3*s - 2*w + 1675 = -w. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (1 + -463)\/6. Calculate the greatest common divisor of 316 and f.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 12:12 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 12)*1\/(-2). Let c be (3*(-2)\/p)\/1. Let u = c + 11. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*a + 8, 5*t - 230*a - 7 = -229*a. Let k(r) be the second derivative of 0 - 35\/2*r**t + 9\/2*r**3 - 34*r. What is the derivative of k(o) wrt o?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1883*c*w**5 - 68*c*w - 2*c - 2*w + 12 wrt w?\nAnswer: -37660*c*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -641080 - 591?\nAnswer: -641671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 9:01 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a*i**2*s*y**3 - 10*a*i**2*y**3 - 2*a*i*s*y**2 + 3*a*i*s*y - 2*a*s*y + i*y**3 + y**3 wrt i?\nAnswer: 6*a*s*y**3 - 20*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 - 17*l**2 + 12*l + 30. Determine q(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 10*n - 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -312, -2, 3 in increasing order.\nAnswer: -312, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crx when three letters picked without replacement from xjjjjjcxjrccjjjc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/6)\/(2752\/80496).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r + 12. Let m(b) = 3*b - 6. Suppose 1085 = 31*o - 3193. Let u = o - 129. Give u*m(i) + 4*w(i).\nAnswer: -i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 8*j + 2. Let d be p(-8). Suppose 2*y + a = 237, 6*y - d*a = 2*y + 494. Calculate the highest common factor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 0*u - 1 - 21\/5*u**5 + 0*u**4 - 13\/3*u**3 + 0*u**2. What is the third derivative of b(x) wrt x?\nAnswer: -504*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**4\/24 + 6*l**2 + l. Let k(b) be the first derivative of p(b). Let h(c) = -2 + 2 - 3*c. Determine k(h(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 269*d + 103. List the prime factors of z(2).\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 3. Let m = 0 + 4. Let u = d + m. Put 1, -3, u in ascending order.\nAnswer: -3, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1904361 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*c**2 - 40*c**2 + 404*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2302.9861 rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r. Let d(g) = -49*g**2 + 7*g - 7*g - 18*g**2. Determine z(d(q)).\nAnswer: 67*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105*7.\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 1. Let s(g) = 103*g**2 + 1856*g - 3. Calculate s(o(v)).\nAnswer: 103*v**2 - 1650*v - 1756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50192*y**3 - 19*y**2 - 3*y - 10050218?\nAnswer: 150576*y**2 - 38*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 328375 * 1\nAnswer: 328375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 313. Let y(r) = -2*r - 283. Calculate -3*o(z) + 4*y(z).\nAnswer: -5*z - 193","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*i - 41 = 0, 4*q + 0*q + 164 = i. Let z = -31 - q. Suppose 0*c - c + z = 0. Which is bigger: c or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23751254, 47502511, 71253768, 95005025, 118756282, 142507539?\nAnswer: 166258796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(98)*1 + (-5 + sqrt(98)*4 + sqrt(98))**2 - (-2 + (sqrt(98) - (3 + sqrt(98)*1) - (2 + sqrt(98))*2)).\nAnswer: -329*sqrt(2) + 2486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6097423 - 1501*i + 1041*i + 3*i**2 - 2184931 - 2440*i - 3952*i.\nAnswer: 3*(i - 1142)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*x + 2. Let k = -2.92 + -372.08. Let w = -370 - k. What is the second smallest value in x, -2\/3, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 23.426646 months?\nAnswer: 0.019522205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 r when four letters picked without replacement from rrrrorrororrrrorrrro.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 12658 + 31117 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1271 and -373262617.\nAnswer: -373263888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 452*k - 55*k - 624 - 170. Suppose 41\/4*v**k - 3\/4*v + 5\/4*v**4 - 5\/2 - 33\/4*v**3 = 0. Calculate v.\nAnswer: -2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(75) - (sqrt(75) + 1))*4)**2 - -6*(0 + sqrt(3))**2*-1*2.\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3))**25*o**0\/(o\/(o\/o**(1\/3))) assuming o is positive.\nAnswer: o**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*p + 261*p + 46444 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35307 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -176420 (b) -0.06 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 453 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 13303*c - 640845. Calculate o(48).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49945, -48693, -47451, -46219, -44997, -43785, -42583?\n\"Answer: -5*h**2 + 1267*h - 51207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 4:28 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*1*sqrt(78))\/sqrt(6).\nAnswer: 4 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 = 7. Factor -t**n - 7*t + 7*t**2 - t**3 - 6 + 9*t - t**2.\nAnswer: -2*(t - 3)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 5. Let l be c(0). Suppose -x - 2*p + 18 = 3*p, -p + 12 = 3*x. Suppose -3*m = -x*d + 10 - 1, 0 = -d + l*m - 5. Solve -d*h - 5 = 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 4*x**2 - 2*x - 1. Let b = 40 + -58. Let w be (-12)\/b - (-32)\/6. What is the units digit of q(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 54 = 4*y - 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -364*a**3 - 366*a**3 + 95*a**2 + 734*a**3 wrt a?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 18 + 2*p**2 - 3*p**2 + 3*p**2 + 39.\nAnswer: 2*p**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34\/(2\/((-16)\/(-4)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 349597 and 730?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 1. Give y(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Let z(s) = -s**3 - 2*s**2 + 4*s - 24. Let d be z(0). Let f be 3\/2 - -2 - d\/(-8). Which is the nearest to f? (a) i (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*f + f + 379*f**4 - 61*f**4 - 2 - 208*f**4 wrt f?\nAnswer: 1320*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 36.6. Let u(w) = -7*w**2 + w - 1. Let n be u(1). What is the second biggest value in n, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12.4, 3, -18, -587 in ascending order.\nAnswer: -587, -18, -12.4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101111010001110011 - -100?\nAnswer: 101101111010001110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 271696 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612049294.\nAnswer: 2, 101, 3029947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1158 + 307. Let x = m - -851.00000276. Round x to 7 decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20193\/44, 0, -2\/13, 0.1.\nAnswer: -2\/13, 0, 0.1, 20193\/44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2)*g)**16\/(g**(-2)*g**(-3))*(((g\/g**(-1))\/g)**16)**39 assuming g is positive.\nAnswer: g**693","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14060, 14094, 14128, 14162, 14196, 14230?\nAnswer: 14264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/17)\/(u**(-1\/6)*u))\/((u*u*u**(-15\/7)*u)\/(u\/(u*u**(-28)))))**20 assuming u is positive.\nAnswer: u**(189110\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/33945085 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 19 = 3*v, -22 = -5*c - v + 5*v. Let s(g) = -7*g + 5*g**3 - 4*g**3 + 5 - 3*g**2 - 6*g**2 + 3*g**c. Calculate s(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 5:57 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9448975ml in litres?\nAnswer: 0.0009448975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 398 divided by 743.\nAnswer: 398\/743","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + (24\/(-18) - 0).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 17, 145, -5, -6 in decreasing order.\nAnswer: 145, 17, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 165553464*h + 496660356.\nAnswer: 4*(h - 41388363)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9151076 (base 10) to base 6.\nAnswer: 524050032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 591, 1184, 1777, 2370, 2963, 3556?\n\"Answer: 593*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 12 + 15 + 6 + 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 212 + -128. Let f be (m\/(-35) - 6)\/((-1)\/10). Let t be 0 + (-38)\/f + 10\/35. Is -1 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w**3 - w**2 + 4*w + 3. Give x(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 13*k**6\/24 - 32*k**3\/3 + 33*k**2 - k + 2. Let j(n) be the first derivative of y(n). Differentiate j(g) with respect to g.\nAnswer: 195*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-280)\/14*2\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 201257548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*-2*2\/6 - (7 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 1 = s + 5*a, 2*a + 4 = 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22990 and 56760.\nAnswer: 11862840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47405746 is divided by 1374?\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 174449767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2503 - -2506. Let m(p) be the second derivative of 0*p**2 + 0 + 1\/3*p**v - 6*p + 1\/6*p**4. Suppose m(d) = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1858 divide 4353934458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/44903000 and 91\/4.\nAnswer: 44903000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14356.\nAnswer: 2, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/92)\/((-18)\/128356). Let z be 10*(9 - -22)*3\/4. Let s = b - z. Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4 + 422*j**3 - 5926*j**2 + 8938*j + 15288 = 0. What is j?\nAnswer: -1, 3, 13, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 377630094 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 a when four letters picked without replacement from agaga.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -19. Suppose 9 + 1 = h*a. Solve 16*f + 8 - f + 6*f**a - 2*f**2 - 3*f = 0 for f.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 - 16 = -5*h, 0 = -3*l - 4*h + 30. Solve l*d = 8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.2 * -0.061\nAnswer: 1.2322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*f = -52. Suppose f = 2*p + 1. Suppose -4*o + p = -18. Calculate the greatest common factor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10180 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 15*p + 7*p)*(-p - 3 + 2 + 2*p).\nAnswer: -10*p**2 + 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**5 - 895*a**4 + 4605*a**3 + 835*a**2 - 15700*a - 11040 = 0?\nAnswer: -184, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 68*k**2 - 1147*k - 191. Give a(36).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -188 + 559\/3. Let r = g + 4\/3. Let o = 36 - 39. Which is the nearest to r? (a) 2 (b) -4\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 888654258 to the power of 1\/3, to the nearest integer?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (0 - 13) - 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 34 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -17. Suppose 7*z = 8 + v. Find a, given that -49*a**3 + 48*a**3 - a + z*a = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**3 - 67*z**2 - 1318*z?\nAnswer: 12*z - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 0) + -3 + -4 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*p)*(2*p + 0 + 0) - 3108 + 3108 - 909*p**2 to a*p + h*p**2 + r and give h.\nAnswer: -913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -65727 - -58?\nAnswer: -65669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 49*n + 1 + 15*n - 3*n to t*n + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/511 and -6\/77?\nAnswer: 5621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54571 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 f(z) be the second derivative of 5\/48*z**4 - 5\/4*z**3 + 15 + 5*z**2 - 2*z. Factor f(m).\nAnswer: 5*(m - 4)*(m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84010.83 + -83425. Round a to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {p: 2, j: 18}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from {i: 2, y: 1, v: 3, u: 4, p: 2, k: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 4861\nAnswer: -5\/4861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 3471?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -21501, -4, -14 in descending order.\nAnswer: -4, -14, -21501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, i: 2, u: 3, p: 4, d: 4, j: 1}. What is prob of sequence pfp?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**5\/30 + f**4\/24 + 68*f**3\/3 - 16*f**2. Let v be a(0). Let k = v - 95. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*h - h. Let o = 55 - h. What is the tens digit of (o\/(-8))\/((-3)\/64)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 4:17 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3523 - -7501. Is b a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 5:05 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 - 2*j - 4. Let t(d) = d**3 - 4*d**2 - 5*d + 7. Let i be t(5). Let x be o(i). Suppose -4*f + 369 = x. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594 is divided by 94?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 323 - 393 + 0*l - l + 3*l. What is v(30)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**2 + 8*d**2 - 16*d**2.\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64\/753 + -71873\/128010. What is the common denominator of -53\/272 and c?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 0.04630396.\nAnswer: 0.0037043168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 22350*p - 5185180. Determine t(232).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13.28 and 19103904.\nAnswer: 19103917.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013848 to 5 dps.\nAnswer: -0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 999, 1134, 1253, 1350, 1419, 1454, 1449, 1398?\n\"Answer: -s**3 - 2*s**2 + 148*s + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c - 3. Suppose 2*b + 20 = c*b. Let t be b\/(1 - -1)*10. Calculate the highest common divisor of 50 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g + 13*g + 35 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u + 8. Let a(m) = -3*m**2 + 34*m + 17. Let h be a(12). Give l(h).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 299, 152, -101, -466, -949, -1556, -2293, -3166?\n\"Answer: -o**3 - 47*o**2 + o + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5789330 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(2\/75))*r**(-6\/13))\/(r**(-12))**0 assuming r is positive.\nAnswer: r**(-476\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34965882*l**3 - 239705*l**2 - 5*l wrt l?\nAnswer: -209795292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10668 and 126.\nAnswer: 32004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37556783819 plus -0.01?\nAnswer: 37556783818.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 47*v**2 - 116*v + 47. Let w be g(-18). Calculate the greatest common factor of w and 179.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -19780 and -19780 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w - 1. Let d(l) = -20*l - 3. Let g(y) = -4*y - 2. Let c be g(-1). Suppose c*m + 5 = -7. What is m*d(i) + 17*u(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 - 1448699?\nAnswer: -1448722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*h**3 + 601*h**3 + 703*h**3.\nAnswer: 1135*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21079*q = 21092*q + 78 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s**2 - 213*s + 213*s)*(s**2 - s**2 + 3*s**3) + s - s + 17*s**5 + 0*s**5.\nAnswer: -13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71 or 11?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21499967387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 244*w**3 - 78960*w**2 - 190192*w - 62592 = 0.\nAnswer: -2, -24\/61, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.3? (a) 5 (b) 1625 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-7) + (-6 - (-200)\/35).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (27\/6 + -6)*-2. Suppose h*g - 40 = z, 6*g = 2*g - 3*z + 75. Solve -2*y - 2*m - 6 = m, 5*y + 3*m = -g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 b, and 1 e when four letters picked without replacement from edbbbeeb?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4046 divided by -3?\nAnswer: 4046\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -210100010 (base 3) to base 9\nAnswer: -23303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/28257623 and -13\/1097.\nAnswer: 28257623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1336 + -1335.8702. What is a rounded to three decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62.6 - 57.6. Suppose 4*k = 2*s + 36, 3*k = -5*s - 13 - 38. Let q be s\/4 - 0\/2. Which is the closest to 0? (a) 0 (b) m (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 16*l**2. Let s be z(-3). Calculate the greatest common factor of 112 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -k + 83, -4*g + k - 55 - 11 = 0. Let c = g + 35. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 764*q - 10500.\nAnswer: -(q - 750)*(q - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 7. Let s = -54 + 60. Let a(x) = x - 1. Let t(v) = -6*v + 23. Let j(k) = -3*a(k) - t(k). What is s*j(d) + 17*z(d)?\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5, 19, 31, 41, 49, 55?\n\"Answer: -k**2 + 17*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 + 5. Let o be t(0). Suppose 2*u = -0*m + 3*m + 18109, -2*m + o*u = 12080. Let f = 14035 + m. What is f rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6624566 rounded to 2 dps?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 88069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 12*x + 24. Let w be -4*2 + 8\/(-16)*1*-26. Determine b(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + 2*c)*(1206 + 5962 - 255).\nAnswer: 13826*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 + 3. Suppose -954 + 602 = 88*y. Let k(a) = -5*a**3 - 5. Determine y*k(w) - 9*d(w).\nAnswer: 2*w**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12404 + 6750 - 13420)*(-h + 4 - 4) in the form m*h + f and give m.\nAnswer: 19074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 441395139 to the power of 1\/3, to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 518246 at most as big as 518246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k + 4*a - 74 = -21*k, 3*k - 2*a + 124 = k for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23787?\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/12*(41160\/(-54) + (-4)\/(-18)) is divided by 78.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -627147\/35 - -17924. Let w = 24\/5 - r. Which is the second smallest value? (a) w (b) 3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-15) + ((-583)\/(-33) - 18)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -138*x + 161. Let s(v) = 5*v - 138 + 278 - 146. Let h(y) = -161*s(y) - 6*z(y). Let o(w) = -6*w**2. Determine h(o(k)).\nAnswer: -138*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -4906.1.\nAnswer: 19624.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*b - v, -3*b - 8 = -3*v - 2*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d + 7. Let s(y) = -7*y + 13. Let h(f) = -5*r(f) + 3*s(f). Let n be h(4). Solve n*w = p + 2*w - 4, 6 = -5*p + 3*w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 10*g - 2. Let v(n) = 4*n**2 + 19*n - 5. What is 5*h(b) - 2*v(b)?\nAnswer: 2*b**2 + 12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4590)\/81)\/(-34))\/((-910)\/2808).\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 - 28*r**3 - 60*r**2 - 36*r.\nAnswer: -4*r*(r + 1)*(r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/65547 and 113\/43698?\nAnswer: 131094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -53. Solve 5*f - 4*t = -u - 19, 0 = 5*f - t + 13 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 219.834*-0.0226\nAnswer: -4.9682484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2350501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51185 is divided by 787.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**4 + 2*h**3 + 5*h**4 - 2*h**4 + (1 - 1 + 2*h)*(2*h**3 + h**3 - h**3) + 52*h**3 - 52*h**3 + 14*h**4.\nAnswer: 17*h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396 = -18*k - 26*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.201258 centuries to millennia.\nAnswer: 0.8201258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 6088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1996424?\nAnswer: -1\/1996424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/77 - 26\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10988982 and 1971.\nAnswer: 32966946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 152*n + 217 - 56 + 182 - 4*n**2 + 152*n.\nAnswer: -4*n**2 + 392","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + -2*(-1 + sqrt(75) + -5 + -1 + sqrt(75)*1))**2.\nAnswer: -600*sqrt(3) + 1425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292741.\nAnswer: 83, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**2 - 22 + 7*h - 4*h + 3*h**2)*(-h - 2*h + 2*h) in the form m*h**2 + s*h**3 + i + t*h and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3157*a + 2199 + 664*a - 929*a - 2199.\nAnswer: -3422*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2 - 25*i + i**2 + 21*i + 0*i**2. Let b(s) = -s**2 + 5*s - 3. Give -4*b(n) - 5*y(n).\nAnswer: -n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/15 (b) 0.1 (c) 1.83 (d) 3 (e) -1868\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4171250 is divided by 18215?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 86653621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3902, -7833, -11782, -15755, -19758, -23797?\nAnswer: -27878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/5, -9, -1 in increasing order.\nAnswer: -9, -1, -0.4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 + -0.05. Let a = -0.46 - j. Let i = 4.5 + -4. What is the nearest to 0.1 in i, -2\/13, a?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.77 + 0.13. Let p = i + -1.96. What is the nearest to p in 0.4, -4, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1 + z**3 + 0*z**3 + 5 + 3*z**2 - z + z**2. Let o be s(-4). Let w = o + -5. Is 3 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-164)\/328)\/((4\/2)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 73557\/(-4458)*2\/(-1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-19)\/(b\/(b\/(b\/b**0)*b*b*b)) assuming b is positive.\nAnswer: b**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 = -4*t + 3*f - 130, 0 = 5*t + 3*f + 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -4 (c) 0.2 (d) -35 (e) 0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + p + 6343, 5*p + 16326 = 3*t - 2693. What are the prime factors of t?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 16716 = -2*r + 6*r, 0 = -r + 4*h + 4199. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 85*a**2. What is the units digit of l(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-5337)\/(-63)*(0 - -329)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121.61 - 122. Let a = 0.39185 + v. What is a rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 274*p**2 - 2*p. Let t(j) = 2*j. Determine l(t(a)).\nAnswer: 1096*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 1 (c) -0.5 (d) 18 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + 3 + 2 + -16. Let i be 3\/(-5)*9\/(9 - v). What is the closest to i in -4, 12\/11, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/5 + -7 - -360. Let y = -355 + h. Solve 0 = y*g + 3*g - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c. Let v = 6 - 1. Suppose 5*l = -4*i + 75, -3*l - 2*l = -5*i + 105. What is the least common multiple of i and q(v)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23282 is divided by 2105?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 4) to base 3\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210002 (base 7) to base 13.\nAnswer: 13517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, c: 2, k: 5, n: 5, v: 2, z: 1}. Give prob of sequence vlcz.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -8) + (-76 - -25)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 22 = 38. Calculate the smallest common multiple of 12 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (46\/(-11) - -2). Let g = 8830.9 - 8831. What is the closest to g in j, -1\/6, -1\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2067\/(-260) - (-9)\/(-180).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5669 - 346. List the prime factors of o.\nAnswer: 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 206.7584 kilometers?\nAnswer: 206758400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -1703, 3, 5.\nAnswer: -1703, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1084614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 16 - (-7 + 74 + -86).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {d: 1, k: 3, e: 1, n: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**1)**(-20)\/(((x*x\/(x\/((x**(-1)*x)\/x)))\/x)\/x**(-5)) assuming x is positive.\nAnswer: x**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = o - 47, 3*l = -0*o + 2*o + 280 - 348 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*g**3 + 46*g**3 - g - 95*g**3 - 11)*(g**2 + 3*g**2 - 6*g**2).\nAnswer: 12*g**5 + 2*g**3 + 22*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4342429001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -10. What is the nearest to 1 in 0, d, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-6)*b*b))**(21\/2)*(b*b\/b**(-3))\/(b*b**(3\/7)) assuming b is positive.\nAnswer: b**(319\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*o - 114, 0 = -2*z - 2*z - 3*o + 141. Let x(u) = 4*u - 3. What is the remainder when z is divided by x(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 27600.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g - 1. Let o(x) = x + 1. Let n(t) = 3*t + 3. Let h(u) = -n(u) + 4*o(u). Let y be (3\/2)\/((-2)\/16). Let s = y + 13. Calculate s*a(c) - h(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 122, 0.002371, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36506778?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(396))**2*5 + 6*(sqrt(396) + 2))*1.\nAnswer: 156*sqrt(11) + 2012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 10 = -3*g + g, -2*g + 6 = -2*x. Which is the smallest value? (a) 2 (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/10))**(2\/27)\/((d\/(d\/d**36))\/(d**31*d)) assuming d is positive.\nAnswer: d**(-539\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 10:12 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -396, -702, -990, -1254, -1488, -1686, -1842?\n\"Answer: z**3 + 3*z**2 - 322*z - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 982 - 61?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*m = -m. Suppose 4 = -2*u - 4, -5*k - 3*u - 52 = m. Let i = 29 - 38. Is k at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/7, 1\/5, 1\/16, -204, 2 in decreasing order.\nAnswer: 2, 1\/5, 1\/16, -2\/7, -3, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*a - 227 = -1721, -3*a = 4*b - 1992. Let f = -487 + b. What is the remainder when 593 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, g: 4}. What is prob of picking 4 g?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 13678?\nAnswer: 369306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 + 1509e?\nAnswer: 150c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3152051 - 7.8.\nAnswer: -7.4847949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11232*n**2 - 11242*n**2 + 45827*n**2 - 11232*n**2 - 12115*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 3*z + 0*z**2 + 4 - 1\/2*z**3. Let y(r) = -86*r**2. Calculate s(y(f)).\nAnswer: 258*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92872 is divided by 1306?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2528593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105518 is divided by 208?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -119491200 to the nearest 1000000.\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + sqrt(75)))**2.\nAnswer: 320*sqrt(3) + 1264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1242, -9759, -32880, -77907, -152142, -262887, -417444, -623115?\n\"Answer: -1217*q**3 + 2*q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a*i**2*q - 4*a*i**2*t - a + 2*i**2*q + 3*i**2*t + 3*i*q*t wrt q?\nAnswer: -a*i**2 + 2*i**2 + 3*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 1209.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.44*4.619.\nAnswer: -2.03236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) -164\/9 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -7, -46, -113, -214?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -9 + 2 - ((-74 - -12) + 5 + 2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 330 + 36 + 75 + 71 + 69 + 79.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43913350*t + 3*t**2 - 43913350*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 - 5*m**3 - 4*m + 3*m in the form t + y*m**2 + w*m**3 + d*m and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3705 and 58019.\nAnswer: 16535415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 6850*z + 853875.\nAnswer: -5*(z - 115)*(z + 1485)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 12:50 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 508\/589 + -30\/31. Suppose 0 = 56308*k - 56254*k - 270. Which is the closest to -1\/4? (a) y (b) k (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {x: 11, l: 9}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 38.902 and -921881.\nAnswer: -921842.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (-9 + (9 - -5))) + 47 + -6\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51612433391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-1)\/(-4)*-1)\/(122\/(-427))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/1076 and 23\/119436?\nAnswer: 119436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3863 - -42491\/11. Let z = 0.25 - 1.3. Let m = -0.05 - z. What is the closest to -1 in -1, m, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 13*t**4\/24 - 3*t**3\/2 - 33*t**2. Let x be c(14). Let j = x + -102. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7852 and 57896722?\nAnswer: 3926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8266 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 4 = -5*t. Suppose -4*u + t*x - 2*x = 17, x - 7 = -u. Suppose 4 = n + u. Solve -v - 6 = -n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/1*(-69)\/92.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.326, 2\/5, 2\/19, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*s**4 + 10*s**4 - 19*s**2 + 21*s**2 + (4*s**4 + 2*s**4 - 5*s**4)*(-3 - 1 + 2) + 2*s**4 - s**4 + 8*s**4.\nAnswer: 27*s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27647, 27648, 27649, 27650, 27651?\n\"Answer: d + 27646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2422 (base 5) in base 12?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*f - 1358299 - 380954 = 0. What is f rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 9*p**2 - p + 17. Let z be (11\/(-22))\/((-2)\/36). List the prime factors of j(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 6 + (2 + 1 - 13) + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 10:52 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 60*l + 35*l)*(-9*l**2 - 3*l**2 - 12*l**2) to b*l**3 + c*l**2 + r + f*l and give b.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-2)\/(-20) - 1958\/(-8690). Let k = 180\/869 - m. Which is smaller: -26 or k?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 1. Let y be z(-1). Suppose 4*q + 2*l + 5 = -5, 2*q - 10 = 4*l. Let g be 1\/q + 108\/6. Solve -y*s - 5*v - g = 0, -5*s = -5*v - 14 + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, q: 2, p: 1, e: 3, u: 1}. What is prob of sequence uei?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 254936?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 36157 divided by -12\nAnswer: -36157\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.2. Let r = -3 + 0. What is the closest to g in 4, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-54)*30)\/(3\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**5\/6 - 9*h**2. Let d(g) = 41*g**2 - 18*g**2 - 18*g**2. Give n(d(z)).\nAnswer: -250*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {n: 2, i: 6, v: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 + -87. Suppose 17 = -5*l - 4*q, 5*l + 3*q - 7*q - 7 = n. Let d(p) = 8*p - 1. Determine d(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 17, 2 in ascending order.\nAnswer: -5, -2, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -32356000 to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 32*j = -31*j, -4*j + 12 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3)*(3 - 5 + 4)*(-2*n**2 + 2*n**2 - 5*n**2).\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -513 - -572.9. Let o = p + -60.143. What is o rounded to 2 dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2)\/f*f*(f\/(f**5*f))\/f*f*f\/(f**(2\/3)\/f)*f*f**(-3\/4) assuming f is positive.\nAnswer: f**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 4*t + 4*x = 1512, t - 366 = 2*x. Let w be (1 - 9) + 3036\/t. Find v, given that -2\/17*v**4 + 2\/17*v**2 + 2\/17*v - w*v**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irip when four letters picked without replacement from rrpppripppr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4818653nm to millimeters.\nAnswer: 0.0000004818653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/8)*t\/(t*t**10))**19*t*t**(-8)*t*(t\/t**(-5))\/t*(t\/t**1*t)**(-3\/2) assuming t is positive.\nAnswer: t**(-1407\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.54 and 3.\nAnswer: 3.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 486*a - 615*a - 380 - 1989 - 1267*a wrt a?\nAnswer: -1396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5121?\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = 2*x - 2*f, 0 = -x - f + 3. Suppose r + 4 = -2*s + 4*r, -4*r = 3*s - 28. Solve 2 = z + s*g, z + 3*g = -3 + x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1649.45 and -406109.\nAnswer: -407758.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 113460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 158.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = -3*h. What is the remainder when 21 is divided by (7\/2 + (1 - h))*22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8736868l?\nAnswer: 873.6868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*t + 9026, 3*t + 2*c = -c + 5421. Let m = 28979\/16 - t. Find the common denominator of m and -15\/26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -26*a**2 + a - 24. Let n(u) = u. Give f(n(v)).\nAnswer: -26*v**2 + v - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i*y**4 - 59*i*y**3 - 152*i*y - i - 2*y**4 + 14*y**3 - 2*y**2 + y - 19 wrt y.\nAnswer: 72*i*y - 354*i - 48*y + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 16*o**2 + 274*o - 3544. Determine r(14).\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3031, 3030, 3029, 3028, 3027, 3026?\n\"Answer: -p + 3032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d3 (base 16) to base 11.\nAnswer: -395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-20) + 2\/(16\/(-52)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19642849.\nAnswer: 19642849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64230.00124 + -64241. Let y = -0.9 + -10.1. Let f = t - y. Round f to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-6)\/(-6)*(-6)\/20\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 73\/8 + 6\/(-48). What is the greatest common factor of 72 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2107*z + 3*o = -2110*z + 45, -2*z + o = -30 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 17485*d - 83. Is k(24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29323184.3 to the nearest 10000.\nAnswer: 29320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -914830 divided by 13069\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9\/14 + -1\/7. Let c = -712.83 + 712.93. Sort -2, 6, q, c in increasing order.\nAnswer: -2, c, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21044*-298\nAnswer: -6271112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2238254192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**2 - 55*m - 94. Let j be k(22). Let d = 1643 - j. Is d a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((1 - 24\/(-6)) + -3). Let f(t) = 10*t**2 - 2*t + 2. Determine f(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 5*o - 9, 142*t = 139*t + 4*o + 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bap when three letters picked without replacement from bpaaappbpppab.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3958789 - -3958763.00537. Let a = m + -35.00478. Let o = a - -61. What is o rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17, 37, -15, -193, -551, -1143, -2023, -3245?\n\"Answer: -9*v**3 + 18*v**2 + 29*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -1\/12*y**4 - 4*y + 0*y**3 + 0*y**2 + 6. Let t(u) = -49*u**2. What is q(t(k))?\nAnswer: -2401*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-14))\/(1740\/(-812))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*x = -131*x + 162. Let s = x - 50. Let b(j) = -s*j + 20*j + 13*j. Let o(a) = -8*a. Calculate o(b(k)).\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-25 + 8 + 7)*-71. Let c = x + -703. Solve -14 = c*h + 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -18*t. Let h(q) = 2*q. Calculate h(f(w)).\nAnswer: -36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 789 = -285. What is the common denominator of 4\/14 - ((-915)\/w - -7) and -58\/27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3. Let i be -7 + -10 + (-585)\/(-30). Let b(a) be the first derivative of -10 + 2*a + 0*a**3 - i*a**4 - a**2. Determine -b(d) + 12*v(d).\nAnswer: -2*d**3 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/10 - 3*z**2\/5 + 3*z\/10 + 1.\nAnswer: (z - 5)*(z - 2)*(z + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*(-286)\/1716?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -669*d**2 - 685*d**2 - 812*d + 1349*d**2 - 12*d**4 wrt d?\nAnswer: -144*d**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 147?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1577510 and 5555.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -320*r + 6126*r + 8257*r in the form s*r + c and give s.\nAnswer: 14063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -11*j**2. Let a(k) = 2*k**2 - k + 6. Let t(w) = -585*w**2 + 13*w - 78. Let x(s) = -13*a(s) - t(s). What is g(x(v))?\nAnswer: -3437291*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 142 = -2*u + 222, u = -a + 167. Suppose u = 2*c - 4*r, 3*r = -2*c + 210 - 45. What is the highest common divisor of 28 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96\/23 + -311\/69. Which is the nearest to -0.1? (a) 1\/2 (b) s (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65010203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -5*a**7\/42 + a**6\/6 + 147*a**5\/4 + 2695*a**4\/12 - 1715*a**3\/3 - 3*a - 332. Determine s, given that c(s) = 0.\nAnswer: -7, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7149210*k**3 - 939799*k - 3.\nAnswer: 42895260*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 345 - 488. Let v = -142.62 - q. What is the nearest to 0 in v, 1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/321 and 1\/5.\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 98204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/6)\/(2\/6). Let r be (m + -4)\/(-5)*-1. What is the second smallest value in -1\/10, r, 3\/2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 4. Let h = -2 + 1.7. Let y = 1 - 0. What is the nearest to o in -5, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**2 + 6743*w - 1755474. Give u(1364).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -413841, -413842, -413843, -413844, -413845, -413846?\nAnswer: -413847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2941 and 0.5?\nAnswer: 1470.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 f, and 1 y when three letters picked without replacement from sfqqdssdlyyqqqy?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3078 by -342.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k + 4. Let t be l(-3). Suppose 15 = 8*a - 3*a. Suppose -a*o = -6*o + 2*m + 88, -2*o + m = -60. What is the greatest common divisor of t and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -139.56 - -134. Let b = c - -0.06. What is b rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 8*h - 16. Suppose 0 = -5*j + 4*k + 27, -k = -1 - 1. Let q = j - 0. Calculate the remainder when s(q) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6848.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-71)\/1917).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2703 smaller than -2018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 plus -0.6132605?\nAnswer: -59.6132605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6533\/2453 + -6\/223. What is the common denominator of j and -81\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1717598 rounded to the nearest 10000?\nAnswer: 1720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*j - 357*j = -123*j + 270*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35)\/(1 + -6) - -148. Is 155 not equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.7 + 4. Let x = y - -0.1. Let l be 0 - (7\/2 - 2). What is the closest to 1 in -0.1, x, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -49*z**7\/10 - 49*z**6\/50 + 63*z**5\/10 - 19*z**4\/5 + 4*z**3\/5 + 11*z. Find r, given that i(r) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, 47, 6\/5, -425.\nAnswer: -425, -0.2, 6\/5, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -103\/3. Let d = -0.04 + 0. Sort d, 0, c.\nAnswer: d, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1608 and 5016.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -148 - 1036. Let u = 518 - h. Does 37 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 - 40769?\nAnswer: -40919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*w**3 - 17292*w**2 + 43188*w - 17272.\nAnswer: 4*(w - 2159)*(w - 2)*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/11 - 2\/11*b + 2\/11*b**2 = 0. Calculate b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251 minus -430912157563?\nAnswer: 430912158814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 634 - -1490. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*o - 403 + 1165, -3*t - 5*o + 586 = 0. Is 32 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -1708, 4, 0, -4 in decreasing order.\nAnswer: 4, 3, 0, -4, -5, -1708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 835, 1057, 1279, 1501, 1723, 1945?\nAnswer: 2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 10*r = -8. Suppose -3*z - 20 = -4*z + 4*u, r*z = u + 75. List the prime factors of ((-2)\/2)\/((-4)\/z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -880993291, -880993292, -880993293?\n\"Answer: -u - 880993290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2. Let x(t) = -3*t**2 - 5*t**2 + 0*t**2. What is x(j(m))?\nAnswer: -32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 6300\/113 and 55 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1017 - 1013. Which is the second biggest value? (a) 0 (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 4*l**2 - 3*l + 2. Let i(c) = -c**3 - 1. Give -2*i(w) - o(w).\nAnswer: 3*w**3 - 4*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 196 - 192. Let g = -4.8 + 2.75. Let n = 2 + g. Put -0.2, o, n in decreasing order.\nAnswer: o, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w + 64. Let p = w - -5. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*k - 10, 2*m - 10 = -0*m. Let r(d) = -d**3 + 4*d**2 + 7*d - 7. Let f be r(k). Let l = f - 1. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 58, 159, 338, 601, 954, 1403, 1954?\n\"Answer: d**3 + 33*d**2 - 5*d + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1. Let b(g) = g**2 - 136*g - 1459. Let m be b(-10). Let w(n) = -24*n + 48. What is m*w(z) - 48*i(z)?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4002983413 + -57.63?\nAnswer: -57.2297016587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/4, 1\/75, 2\/5, 1?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: aa1b (base 15) to base 8\nAnswer: 106272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2 + -1.21. Sort -0.1, -2\/7, 1\/25, c in ascending order.\nAnswer: -2\/7, -0.1, c, 1\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5201216 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(5\/2)*(c*(c\/(c\/(c*c*c\/(c**(-20\/3)*c))))\/c)\/c*c*c*c*c*c\/(c\/c**(9\/11))*((c\/c**(-12\/13))\/c*c)\/c assuming c is positive.\nAnswer: c**(13649\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 834 = 5*l - 14*n, -2*n = 6. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**4 + 2*a**4 - 5*a**4)*(-2*a + 3*a + 0*a) + 0*a**5 + a**5 - 2*a**5 - 2*a**5 - 9*a**5 + 3*a**5.\nAnswer: -12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 6:40 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 27. Suppose t*y - 28 = -3*o + 5*o, -4*y + o = -26. Solve 3*k + 0*k = -y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, k: 2, x: 7, b: 1, o: 1, r: 3}. Give prob of picking 2 k and 1 r.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-1))\/(0 + -2). Let v be 1 + -1 - 4 - -18. Let p be (v\/12 + -1)\/(10\/20). What is the closest to p in t, -5, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 772?\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4 + 0 + 125*v**3 + 5 - 126*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33772795?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -q + 2211, -r = -2*q + 3*r + 4462. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427540 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*n - 2*n. Suppose n*r + 4*d + 13478 = 3*d, -4*r = d + 17970. Let y = r - -44959\/10. Find the common denominator of y and 111\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 521 + -499. Suppose q = 43 - 6. What is the remainder when q is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15330 and -15360 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -76*k - 131*k + 9*k + 265. Let w(y) = y + 2. Let l(o) = -p(o) + 6*w(o). What is the first derivative of l(v) wrt v?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -14*u - 432. Let q(a) = a**2 - 7*a + 8. What is the remainder when q(6) is divided by x(-31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -5, 23, 51, 73, 83, 75, 43?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-102)\/4)\/(6\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*m*y**2 - 5*m*y - 149159429*m - 1511*y**2 + 12*y wrt y?\nAnswer: -24*m*y - 5*m - 3022*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5))**(1\/2)*(o*(o\/((o**0\/o)\/o)*o)\/o)\/(o*o**(-5)) assuming o is positive.\nAnswer: o**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -0*w - w. Is 16 a factor of (-3 - w\/(-5))*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578097 is divided by 43.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myjjjmjr. Give prob of sequence ymj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-3 - 2825\/5). Let t = -224 + x. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - 2180*u**2 + 2*u + 2180*u**2 - 2*u**4 + 19 in the form n*u**4 + x*u + k*u**2 + r + o*u**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10002201201122 (base 3) to base 15.\nAnswer: -2284b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21191645 to the power of 1\/3, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/7)\/(-205*39\/(-22386))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/1 - 2 - -7. Suppose k*q - 6*q = -8. Which is smaller: 5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 8 = 4*w. Let j be (-1)\/(1\/w*-1). Suppose j*a - 9*a + 4 = 0. Solve -6 = -a*r + 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 16*i + 124. What is the smallest common multiple of 264 and q(8)?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -219\/11 + 449\/22. Is 42 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7)**(2\/9)\/(y\/y**(-12\/5))**(-2\/33) assuming y is positive.\nAnswer: y**(872\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.9 in -0.1, 0.2, 1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 197 - 194. Calculate the greatest common divisor of b and 66.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552616 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**4 - 5426*x**3 + 84074*x**2 wrt x?\nAnswer: 24*x - 32556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 less than -94439750671?\nAnswer: -94439751031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express b + b**2 - b + (-2 + b + 2)*(9*b - 3*b - 2*b) + 2*b**2 - 3*b**2 + 3*b**2 + (0 + 2*b + 0)*(-2 + b + 2) in the form h*b + r*b**2 + f and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 21850.\nAnswer: 174800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*y = 3*j - 3, -5*y = 2*j - 2. Is j at least as big as -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000459504 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*l + 5. Let c(m) = m**2 + 7*m - 90. Suppose 27 = -3*x - 15. What is the lowest common multiple of c(x) and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -41, -2 in increasing order.\nAnswer: -41, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkkokkkgkkdkgqkqgkgg. Give prob of sequence oq.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -157 + 162. What is the common denominator of 117\/10 and 354\/(-54) + g - 4?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -18*q + 109. Let a = 238 + -232. Let o be l(a). What is the second smallest value in o, -5, -67?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -418980*v**2*y**2 - 1893561*v**2 - v*y + 4*v - 73*y**3 - 5 wrt y.\nAnswer: -837960*v**2*y - v - 219*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**4 - 1560*r**3 + 41409*r**2 - 39852*r = 0.\nAnswer: 0, 1, 27, 492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 55.3?\nAnswer: 55.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1 - (-26 - -22).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 3*f + 17 + 2*f + f - f + (1 - 2 + 2)*(f + 3 - 3) - f - 5*f - 5*f to the form w*f + c and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78532973 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3 - 1)*(-2 + 1 + 0) + 2 + 3 - 3 - 1 - 2 + 11)*(0 + 2*y + 0).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 59402237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 4*j**2 + 4*j - 3. Let s be 5 + 8\/(-88)*0. Give l(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7160 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67364 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o - 3*o + 5*o - 8 + 1. Let p(l) = l + 4. Give -5*p(a) - 3*x(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 0*h**2 + 11 - 15*h - 2\/3*h**3 - 1\/3*h**4. Let t(g) be the first derivative of y(g). Determine d, given that t(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1908 is divided by 534?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-6) + (-1)\/(-2). Let c = -1 - -1. Is c less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/((-700)\/32) - 12220\/1950?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 + 73. Suppose 3*z - 1 = -m, -m - 5*z - 1 = -0. Suppose -m*f + u = -7. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4797 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -9) + -1 + (-3 - -6) + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10358049 divided by 663\nAnswer: 15623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8571.755ug in grams?\nAnswer: 0.008571755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 17909336 to the nearest 10000.\nAnswer: 17910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 79*f**8\/336 + 5*f**4\/3 - 15*f**2 - 2*f. Find the second derivative of c(i) wrt i.\nAnswer: 1580*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-22) + 3126\/(-2084)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*g - 129*g + 20 = 5*p, g + 2 = 3*p. Let j be (-68)\/18 + (-14)\/63. Put j, p, 4, -7 in increasing order.\nAnswer: -7, j, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -9*u**2 + 16*u - 56. What is c(4)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -181001 - -437338. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3660 - 3636. Solve 6*y + 0 = n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 7:33 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -117*z + 704. Let u be y(6). Let p(w) = -w**3 + 2*w**2 + 2*w - 2. Let i be p(2). Suppose 0*s + 10 = -i*s. Sort 3, u, s in increasing order.\nAnswer: s, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + 44. Suppose 0*n + 196 = 5*n + o, o = -2*n + k. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 90, 83, 62, 21, -46, -145, -282?\n\"Answer: -t**3 - t**2 + 3*t + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*j + 6*j. Solve j*q - 15 = -3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -1, 0, 197, -28 in descending order.\nAnswer: 197, 0, -1, -2, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*t = -2202 - 1980 + 82 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmggmgggvglg. What is prob of sequence vmmv?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -1\/840*h**7 - 1\/96*h**4 + 0 - 3*h**2 + 0*h + 0*h**3 + 1\/480*h**6 + 1\/240*h**5. Factor j(r).\nAnswer: -r*(r - 1)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5717 - -3177?\nAnswer: -2530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012563 rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 - 3*v - 61. Let t be a(-17). Let y = t - -588. Solve y = -5*f - 2 - 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1141 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 527424.837 rounded to the nearest one hundred?\nAnswer: 527400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(147) - (2 + sqrt(147))*-3) + (-5 + sqrt(147) + 2 - sqrt(147)).\nAnswer: -1 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -3*w - 16. What is the second derivative of 33*j - 8*j**2 + 18*j**2 + 4 - w wrt j?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + 3 + (-12 - 2 - -19)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44.5 - -17.98.\nAnswer: 62.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Let y = 283938 - 283934. What is the smallest value in y, t, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(-4*sqrt(6)*2).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*j - j - 7*j - 6 - j as n + h*j and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 700214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 86*w**2 + 3*w + 15. What is the units digit of a(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/1228 - 32563\/8596. Calculate the common denominator of (3\/70)\/((-132)\/(-12430)) and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2882 (base 12) to base 16\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.7, 2.5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 897.5291kg?\nAnswer: 897529100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -8. Let u(o) = -o - 10. Determine 3*u(g) - 4*v(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 20. Suppose 14 = f - 2. Let u be g(f). What is the nearest to -4 in u, 0, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1560 and 12600.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 3*z - 984*z**2 + 2*z.\nAnswer: -984*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.3, -1\/5, 2\/7, 11591?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 + 102. Let c = h + -37. Factor 16 - c*n + 11*n + 10*n + n + 4*n**2.\nAnswer: 4*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50.1582 - -50.2. Let u = d - 0.041801272. What is u rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -t - 4*t + 27, 2*c - 3 = -3*t. Suppose -12*b + 13 = -131. Suppose -t*j = -j + k - 20, j + k = b. Calculate the remainder when j is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 35*x**2. Let y(t) = 9*t**2 - 17*t. What is y(q(s))?\nAnswer: 11025*s**4 - 595*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2542 - -2658. Calculate the highest common factor of 406 and v.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202 + -3?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k*o**4 + 22*k*o*p - 7*k + 805*o**2*p wrt o.\nAnswer: 12*k*o**2 + 1610*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2475, 5141, 7985, 10995, 14159?\nAnswer: 17465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*x + 18, 2*v - 5*x = -0*v - 9. Let p(a) = -3*a**3 - a**2 - a - 1. Let j be p(-1). Which is bigger: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 3)*(3 + -2). Let m(j) be the second derivative of 17*j + 5*j**p - 5\/4*j**4 + 0 + 5\/2*j**3 - 1\/2*j**5. Determine y, given that m(y) = 0.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73314634*a + 46*a**2 - 12 - 73314634*a + 12 + 29*a**2.\nAnswer: 75*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123614, 120937, 118260, 115583, 112906?\nAnswer: 110229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 10 = 0, 3*h + 266*d - 14 = 270*d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 505*h**2 + 7*h*u + 2*u - 1608 wrt h.\nAnswer: 1010*h + 7*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 217893 and 19630.\nAnswer: 2178930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*k - 20 = 0, 0 = -4*y - k - k + 4. Put -3, y, -5 in descending order.\nAnswer: y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1212101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056275342 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 5:40 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*m - 243*m = 3*q - 16, 2*m = -4*q + 8. What is the remainder when 107 is divided by 49 + q\/((-8)\/18)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11975, -23928, -35865, -47780, -59667?\n\"Answer: r**3 + 2*r**2 - 11966*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 615 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -343076.6 - 6.\nAnswer: -343082.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 893398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 + 2*d**4 + 3*d**4 + (4 - 2*d - 4)*(-4*d**3 + 4*d**3 - 2*d**3) - 2*d**2 + 2*d**2 - 11*d**4.\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 + 158. Suppose -z - 3*g - u = -2*z, -5*g + 230 = 5*z. Suppose 4*x - 17 = 51. What is the remainder when z is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13154\/7 + -1885. Find the common denominator of x and -83\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083 + 6916?\nAnswer: 7999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -699951424, -699951423, -699951422, -699951421, -699951420, -699951419?\n\"Answer: l - 699951425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6223.166 micrograms in milligrams?\nAnswer: 6.223166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29142476717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = k - 4*g, 7*k + 1760*g - 1765*g = -37 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + (-8)\/(-240) - 2*-2. Let n(s) be the third derivative of -j*s**5 + 0*s**3 - 1\/12*s**4 - 4*s**2 + 0*s + 0. Factor n(z).\nAnswer: -2*z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmll when four letters picked without replacement from {l: 5, m: 9}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*v + 31*v + 39*v**3 - 2 + 0.\nAnswer: 39*v**3 + v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 504868920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-13)*o*o\/o**(-1\/3)*o)**24)**44)**2 assuming o is positive.\nAnswer: o**(-20416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116032 and 3922?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*z**4 - 633*z**3 - 220051*z**2?\nAnswer: -408*z - 3798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-3))\/((-6)\/3))\/(1\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 241100 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (6 - 4 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**7\/21 - k**5\/5 + 479*k**4\/12 - k**2 + 123*k. What is the third derivative of a(h) wrt h?\nAnswer: -120*h**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 - -92. Calculate the remainder when n is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x + 167. Give j(37).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2275*z**2 + 532*z**2 - 2 - 1439*z**2 + 1 to the form g + r*z**2 + a*z and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 172*o = -86*o + 49744607. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z + 8 - 8)*(0*z - 2*z + z + (0*z + 2*z + 0*z)*(-3 + 0 + 4) + 3*z - 6*z + 4*z + 2*z + 0 + 0 + 9*z + 4*z - z + 0*z - 5*z + 3*z)*(-6*z + 3*z + z).\nAnswer: -168*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 1:56 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 3*s - 5 = -3, -2*s = -v - 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(7\/4))**(3\/14)*(s**(-1\/3))**(1\/28) assuming s is positive.\nAnswer: s**(61\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s - 680 = -624 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17803.962 months in millennia?\nAnswer: 1.4836635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -6 - -5) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 9:51 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c + 6, -4*n + 10256 = -2*c. Suppose -n = -6*a + 441. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y - y**2)*((0 + y**2 + 0)*(2 + 0 - 1) + y**2 - 3*y**2 + 3*y**2 + 17*y**2 + 9*y**2 + 12*y**2).\nAnswer: -40*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -2\/15*g**5 + 3*g**2 - 1\/120*g**6 + 0*g + 0 + 7\/24*g**4 - g**3. Is 9 a factor of x(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 4:19 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -38. Let j be 0*(x\/(-2) + -4). Suppose -c + 4*c - 354 = j. Does 23 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/900*10)\/(66\/4532)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 98. Suppose 3*k = -4*s + 28, -28 = -5*k + s + z. What is the remainder when -2 + 1*96\/3 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = 4, -3*o = -3*d - 276. What is the remainder when o is divided by 5\/(100\/316) + (-176)\/(-80)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.1966 - 7732.1034. Round o to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7555 + -7322. What is the remainder when 251 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 7:46 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*i = 121*i - 24, 5*s = -2*i + 138347. Is 73 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 + 48. Suppose f*v + 192 + 3*v**2 - 15*v + 6*v - 39*v = 0. What is v?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67389598.\nAnswer: 2, 17, 31, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-3 + (0 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) 0.15 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 364128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4524 and 494943.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 7*z**2 + 1838. Let k(t) = -2*t + t - t. Give m(k(a)).\nAnswer: -28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203672623, -203672621, -203672619, -203672617, -203672615, -203672613?\nAnswer: -203672611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/360*16*3*2\/(-356).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 7) in base 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(18\/28)\/3*2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 960*y + 10562. Let t be m(-11). Solve 5*b - 7*b = -2*w - 18, -t*w = 3*b - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -40*x**3 - 2 - 3*x + 77*x**3 - 40*x**3 + 4*x**2 - 4*x**2. Let t(o) = -13*o**3 - 13*o - 8. Determine 9*h(f) - 2*t(f).\nAnswer: -f**3 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 36\/60 + (24\/10)\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 173*u + 560*u - u**2 + 144*u**3 + 1131 - 1133 wrt u.\nAnswer: 864*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37455 divided by 3.\nAnswer: 12485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 938\/9585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*n = 3*y - 36*n - 253, -4*n + 364 = 4*y. What is the highest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266 + 230 = -6*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18*((-10)\/(-6))\/5 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 26 - 16 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 9. Let g be w(9). Let f = 14 + g. Suppose -4*q + f + 7 = 0. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 662\/3 (b) 1\/5 (c) 3.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(((g*g**(6\/5))\/g)\/g)*g*g**(-4\/5) assuming g is positive.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 3)*(-1 + 1 - 1)*(-78*g - 93*g + 57*g) - 2*g - 28*g - 28*g + 2 in the form v*g + p and give v.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -448 and -2\/23 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = -7*j + 5*r, j + 0*r - 67 = -4*r - 63 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/12*(543\/181)\/((-3)\/62)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-957)\/116)*186\/(-8).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + d**2 - d + 2. Let t = -1 - -5. Let y be 2\/(-4) - t\/(-8). What is the units digit of m(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/3)*c\/c**(5\/2)*(c**4)**(5\/4))**(-2\/83) assuming c is positive.\nAnswer: c**(-29\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28905336 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 850*x + 124004 = 2455*x + 5005*x - 61076 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 13*i**2 - 9*i + 60. Calculate o(13).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 273\/5 + -54. Let f = 0.04 - -0.02. Let s = f - -3.94. What is the second biggest value in g, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30.62 + -29.6. Let r = -2.02 + f. Which is the closest to r? (a) -2\/5 (b) -2\/9 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0507 - 0.0307. Let f = 0.5 + 0. Which is the nearest to s? (a) -2 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -687771500 and -382.58.\nAnswer: -687771882.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 43541, 174159, 391855, 696629, 1088481, 1567411, 2133419?\n\"Answer: 43539*a**2 + a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 5 - 5 - (-5 + (6 - 21))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4037 - -4097. Let t = -5 + 13. What is the greatest common divisor of s and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10948681 is divided by 437947?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-402)\/(-6) - 36\/9. What is the first derivative of -19*p**2 + d - p**4 - 3*p**2 + 8*p**2 wrt p?\nAnswer: -4*p**3 - 28*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/21)*t)**12\/((t*t*t*t**(-17)\/t)\/t**17) assuming t is positive.\nAnswer: t**(316\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03 (b) -0.5 (c) 4\/3 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - c = -0*t + 575, -c - 345 = -3*t. Suppose i = -4*i + t. List the prime factors of i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5*r + 3*r - 2128, -16*v + 8512 = -3*r. Calculate the highest common factor of v and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65653364?\nAnswer: 2, 7, 367, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c**2 + 1. Let g(d) = -5*d**2 - 1. Let o(y) = y**3 + 7*y**2 + 7*y + 11. Let t be o(-5). Let h be t\/78*(-17 - 1). Calculate h*r(i) - 7*g(i).\nAnswer: -i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809969087?\nAnswer: 809969087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 2 + 8\/(-4). What are the prime factors of (14\/3)\/1*k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -30. Let n(x) = d*x - 8 - x - 33*x**2 + 32*x**2 - 9*x. List the prime factors of n(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 1\/4, -17, 2\/25, -1?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38118.46 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*x - 2. Let i = -0.143 - -0.643. Which is the third biggest value? (a) -2 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 - 2.03. Let u = -2.26 - p. What is u rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110445 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 - 2*d**5 + 4*d**5 + (-21*d**4 + 39 - 39)*(-3*d + 4 - 4).\nAnswer: 66*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -4. Let h(i) = -y*i + 4 - 1 + 4*i - 2*i. Calculate h(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 106497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2. Let j(z) be the first derivative of -35*z**2\/2 + 218. Give j(s(u)).\nAnswer: 70*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p - 5*p - 1 - 3*p. Let m be -2 + ((-34)\/2 - 2). Let z be (-4)\/14 + (-27)\/m. What is t(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -103 + 1573073?\nAnswer: 1572770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.1, -89, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1337825809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, -16, -4 in decreasing order.\nAnswer: 6, 2, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25985 is divided by 7154?\nAnswer: 4523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/3))\/o*o*o)\/(o*o**(-2\/11))*((o*o**(6\/7)\/o)\/o)\/(o\/(o**(-1\/28)\/o)) assuming o is positive.\nAnswer: o**(-305\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-1438)\/18 - 1. Let f = m - 79. Which is the closest to -1\/4? (a) -0.3 (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*m + 2*v, -4*m + 0 = 4*v + 16. Let k be -2 - 1\/((-3)\/m). Let n be k\/6 - (-3)\/(-6). Which is smaller: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3)\/y)\/(((y\/(y*y*y*y\/y**(8\/11)*y*y))\/y)\/y))\/(y**20\/y*y\/y**10) assuming y is positive.\nAnswer: y**(-134\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -9\/22 (b) -1 (c) 4 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(8)\/sqrt(4)) + sqrt(18))\/sqrt(6).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549828 is divided by 2291?\nAnswer: 2279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -52785 + 680?\nAnswer: -52105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2 and 45\/148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/6 and (1 - (-111)\/(-45)) + -4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 3*t - 2. What is u(-7)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 1)*(-21*i**4 + 33*i - 33*i) as w + d*i + j*i**2 + y*i**4 + f*i**3 and give y.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - a - 1. Let g(z) = 1 + 3*z**2 - 2*z**3 + 0*z**2 + 4*z + z**2. Let r(y) = g(y) + 4*p(y). Differentiate r(f) wrt f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (3 - (-11 - (-3 - 9))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3924*m**2 + 411 - 7876*m**2 + 3929*m**2 + 1469 - m**3 wrt m?\nAnswer: -3*m**2 - 46*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -17, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 678*i**4 - 680*i**4 - 9*i + 2*i - 5 + i**3 to m*i + v*i**2 + w*i**4 + j*i**3 + p and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -9.0562\nAnswer: -18.1124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + (-8 - 58) - (-2 + (25 - (3 + 1)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 - (-4 - (0 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.889 - 0.789. What is the closest to -2\/7 in -1\/2, 1\/4, -2, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -637, -1\/7, -0.4, -356?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 706042, 1412087, 2118118, 2824129, 3530114, 4236067, 4941982?\nAnswer: 5647853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -339, -1\/9, 24 in descending order.\nAnswer: 24, -1\/9, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*t**(12\/5)))\/t)\/t)\/t*t*t**1*t)**(-4\/5) assuming t is positive.\nAnswer: t**(48\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*m + 52*m - 4384 = -162*m for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7765, 15530, 23295?\n\"Answer: 7765*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, r: 1, z: 8, f: 1, m: 8}. Give prob of sequence fzmm.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffy when three letters picked without replacement from yyffyyofof?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**5\/10 - 8*f**4\/3 + f**3\/3 + 14*f**2 - 50*f. Let q be l(-16). Let k(o) = 3*o. Let p(m) = 7*m. Give q*p(w) + 7*k(w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -141340534 (base 6) to base 15\nAnswer: -3bbb8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19881 (base 10) to base 14\nAnswer: -7361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -490729097 smaller than -490729100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*x - 31. Suppose 0 = 2*w + x*h - 208 - 254, -4*w + 3*h = -924. Calculate the greatest common divisor of 33 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 395000 divided by -395.\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-49))\/(86\/602)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102802356 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 10:25 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -144454 (base 10) in base 3?\nAnswer: -21100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(2 - 1 + 1)*(3 + 2 + 15*h + 0).\nAnswer: -60*h - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25.95 and 0.509?\nAnswer: 26.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 281, 619, 1091?\nAnswer: 1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2360.61 + -2350. Let c = k - 0.01. Round c to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 4*w - 3. Suppose 3*d = 2*h - 8, -5*d - 3 = -h + 8. Let r be (-1)\/((6\/(-15))\/d). Let j be u(r). Solve 0 = -j*f - 3 + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -3)\/((-1)\/4). Let y(f) = 3*f**3 - 3*f**2 - f + 5. Is y(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 187, 213, 237, 259, 279, 297?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2495 - -17481\/7. Determine a, given that -64\/7 - 1\/7*a**2 - k*a = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - i**2 + i**2 + 0*i**2 - i**2 + 2*i**2 + 2 + 2*i**2 - 2 + (4*i - i - i)*(2*i + 0*i - i) + 4*i**2 + i**2 - 3*i**2)*(2*i**3 - i**3 + i**3).\nAnswer: 10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29790 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 0.05, 5, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 969.3689 weeks to seconds.\nAnswer: 586274310.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*t**5\/7 + 4416*t**4\/7 + 89736*t**3\/7 - 24588*t**2\/7 - 89790*t\/7 + 20172\/7 = 0. Calculate t.\nAnswer: -41, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 20*a**3 - a + 5. Suppose -13 = -d - 4*s, 2*d + 3*s - 86 = -70. Let b(g) = g**3 - 1. Give d*b(y) + h(y).\nAnswer: 25*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5298 + -1491. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 3 - 3)*(37 - 1 + 57 + (-6 + 2 + 2)*(-5 + 2 + 1) + (2 - 1 - 2)*(-2 + 10 + 0)).\nAnswer: -178*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/5 and 337\/(-132) - (-7)\/(42\/4).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 137031, 137043, 137069, 137115, 137187, 137291?\n\"Answer: f**3 + f**2 + 2*f + 137027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*-0.784.\nAnswer: -27.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 + 20*d**2 + 15*d + 40. Determine x(9).\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by (-258)\/(-4)*((-1)\/3 + 1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 6*k**2 + 3*k**5 - 3*k**3 - 3\/2 - 9\/2*k**4 + 0*k = 0?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**4\/26 - 170*z**3\/39 + z**2\/13 + 170*z\/13 + 375. Factor j(x).\nAnswer: -2*(x - 1)*(x + 1)*(x + 85)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - q - 20 = -2, -10 = -2*s - q. Factor -3*z**5 + 57*z**2 + 10*z**s - 14*z**3 + 4*z**5 - 51*z**2 - 3*z**5.\nAnswer: -2*z**2*(z - 3)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*d*w**2 - 37*b**3*d*w + 12634*b**3 + b**2*d*w**2 + 10*b**2*w**2 + b**2 + 1329*d*w**2 + d*w + 16*d wrt b?\nAnswer: 12*d*w**2 - 222*d*w + 75804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255268.\nAnswer: 2, 13, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 30 = z + 2*h, -3*z - 5*h = -16. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237 divided by 1?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 8*p**2 + 7*p - 7. Let x be z(7). Let a = x - -16. Let d = -3111 - -3121. Which is smaller: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22998 is divided by 184.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5191\/116 + 0 + -50?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 4*v**2 - 3*v + 1. Let o = -13 + 16. Let y be c(o). Let x be (7\/14)\/(y\/(-2)). Is -2\/29 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 10 = 5*p, -p - 10 = -3*p + 4*v. Suppose -p*k + 6 = -2*k. Solve 0 = -3*f - k - 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/599 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(11)) - (1 + sqrt(1584)))**2.\nAnswer: -136*sqrt(11) + 3195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.575348 and 1.\nAnswer: 0.424652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*n + 5*j - 42, -2*j - 15 = -5*n. Solve -4*s - 7 = 3*p - 2*p, n*s = -2*p - 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 245970 and 491940.\nAnswer: 491940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71\/21 - -73\/21. Let h(c) be the second derivative of 13*c + 1\/42*c**4 - m*c**3 + 0 + 0*c**2. Factor h(a).\nAnswer: 2*a*(a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/4 + (-3)\/12. Let t(i) = -98*i + 4. Let c be t(g). Let r be c*(-1 - 1\/(-2)). What is r rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 120751986*b**3*u - 2*b**3 - 51*u - 727375 wrt b?\nAnswer: 362255958*b**2*u - 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c = -39*c + 3. Sort c, -5, -6 in descending order.\nAnswer: c, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3942 (b) 0.1 (c) -0.4 (d) -5 (e) -4 (f) 62 (g) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.08821 nanograms in grams?\nAnswer: 0.00000004108821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(-1))**(-2\/17)*(s**(-5)\/s*s*s**(-6))\/(s\/s**0)**(5\/4) assuming s is positive.\nAnswer: s**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 6988102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 23*k**2 - 3*k - 5. Suppose -y = 3*y. Suppose y*m - 2*m - 4 = 0. Does 28 divide t(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.4 - 0.6. Let g = d + 5. Sort g, 1\/4, 0.4 in ascending order.\nAnswer: 1\/4, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 941524?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0044944 rounded to 5 decimal places?\nAnswer: 0.00449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 1 + 4 = 0. What is the lowest common multiple of g and (42\/18 - -1)*3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 59 + 0 + 3 + (-4 - -4). Suppose -z - n + 0*n + 22 = 0, 3*z - r = -n. Solve 2*h + a - 2*a + 8 = 0, 5*h - 2*a + z = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (sqrt(98) - (sqrt(98) - (sqrt(98) + -1))**2))*1 - (-2 + sqrt(98) + (1*sqrt(98))**2) - (5*(sqrt(98) + 0) + -5)**2.\nAnswer: -2570 + 343*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1053*b**2 - 3218*b**2 + 1065*b**2 + 1073*b**2.\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -24940.\nAnswer: -24940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1203100 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeff when four letters picked without replacement from ffesfsffefffsfeesff?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h - 5. Let i be 0*(3 + -1)\/4. Suppose -5*n + 10 = 5*q, i = -4*q - 2*n + n + 23. Let b(z) = -3*z + 5*z + 2*z - 7. What is q*r(w) - 5*b(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(3\/4))\/((f\/f**1)\/f))\/(f**(-7)*f\/f**(-2\/5)) assuming f is positive.\nAnswer: f**(137\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2407587 times -0.5\nAnswer: 1203793.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2366 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 111?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = -4*m + 4*m - 7644. Which is smaller: 7 or m?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 142, 10 in ascending order.\nAnswer: 10, 36, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/31 (b) -4 (c) 22\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -7*z + 4*z. Let d be (-4)\/z - (-2 - 32\/(-18)). Solve -2*m = -d*m - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33.5 - -28.5. Sort 5, m, -1, -13.\nAnswer: -13, m, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v = -2*g + 18, g + 4*v = 24. Let p = 766 - 278. Suppose -g*m = -4*m - p. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 w when three letters picked without replacement from qwwmcwwwwmmqqqcqwmw?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.11 + -4.89. Let i be 0 - -1 - 393\/(-3). Let j be (i\/27)\/(-4) - -1. Which is the closest to -0.1? (a) j (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4999 - 4997. Let v(b) = -b**3 - b. Let m(g) = -17*g**3. Determine r*m(z) + 2*v(z).\nAnswer: -36*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -822.\nAnswer: 821.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from ejjhqejjljej.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.608 to 1 dp.\nAnswer: -22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0728 + 0.0528. Let h = -16 - -4. Let q = h + 8. What is the third smallest value in 1, q, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 13*c**2 - c + 19. Determine v(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1009, 1027, 1061, 1111, 1177, 1259, 1357?\n\"Answer: 8*m**2 - 6*m + 1007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 682196 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*j**3 + 14*j + 9*j**3 + 3*j**3 to the form c*j + y*j**3 + i*j**2 + x and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o*o**(-5))\/(o*((o*(o**(-2)*o)\/o)\/o)\/o))**10*(o**(-1))**16*(o**(-2\/3))**(-12) assuming o is positive.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 2. Let l be i(5). Suppose -l*f = -5*f + 4. Let c(t) = 5*t - t**2 - 3 + t - 2*t. Determine c(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**3\/6 - u**2 - u. Let q be f(-3). Let i = q + 48. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 360?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.917 + 0.083. Let s = -7 - -5. Which is the closest to 0? (a) -0.4 (b) s (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -465*u - 127. Is p(-2) 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 5707722?\nAnswer: 2, 3, 29, 32803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-50)*-5*25. Let l be 5\/(215\/(-60) + 4). Sort l, z, -4 in increasing order.\nAnswer: -4, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, -400, -0.1272?\nAnswer: -400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3970039*i**3 + 31*i**2 - 1112*i + 8 wrt i.\nAnswer: 23820234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -2865981.31 and 331.8.\nAnswer: -2865649.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 65 and -14.91549?\nAnswer: 79.91549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g + 5002 = 5040. Let y(f) = 2*f**3 - 4*f**2 + 4*f + 3. Let o(t) = t**2 - t. Determine g*o(b) + y(b).\nAnswer: 2*b**3 - 2*b**2 + 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20108 - -20111. Solve -37*s + 33*s + 2*g + 6 = 0, 2*s + k*g - 7 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 24.5. Put q, 6, -2 in decreasing order.\nAnswer: 6, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 11. Let f(b) = -5*b - 2. What are the prime factors of f(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49057734 divided by 638.\nAnswer: -76893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-125)\/20 - -6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ktuugkgkkrg.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52896 is divided by 1504.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 7:09 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m + 35*m**2 - 2*m + 4*m + 0*m to t*m**2 + d*m + w and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y - 7. Let o(n) = 7*n - 16. Let a(m) = -2*o(m) + 5*s(m). Calculate a(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/344 and -69\/22.\nAnswer: 3784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -69626.663922361.\nAnswer: -69622.663922361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1425.068678 to two decimal places.\nAnswer: -1425.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122163*x**5 + 3*x - 43521 wrt x.\nAnswer: -2443260*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 16*g - 1. Suppose 0*d + o + 33 = -3*d, 0 = -4*d + 4*o - 60. Let a be i(d). Let l = -3 + a. Does 22 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 21 + (590 - 630)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*z - 29*z**5 + 13*z**5 + 0*z**2 + 2*z**2 - 28*z**5 wrt z.\nAnswer: -2640*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7888)\/(-816) - (-5)\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 55252 divided by -54\nAnswer: -27626\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28961 is divided by 323.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**4 + 0*l**4 + l**4)*(-5*l - l + 4*l) + 55*l**5 + 99*l**5 - 52*l**5.\nAnswer: 108*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.46887 + -2.47. What is f rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/4530932 and 127\/102?\nAnswer: 231077532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400*i + 254 = -398*i. What is the third derivative of 55*q**2 - 56*q**2 - 42*q**6 - 42*q**6 + i*q**2 wrt q?\nAnswer: -10080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**3 + 9*i**2 + 9*i - 9. Let l(s) = s**2 - 17*s + 34. Let p be l(15). Let r(m) = -3*m**3 + 4*m**2 + 4*m - 4. Calculate p*z(h) - 9*r(h).\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**4\/8 + 1013*u**2. Let y(m) = 331*m**2. Determine l(y(b)).\nAnswer: -993*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1421299.\nAnswer: 11, 129209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -70*(15\/(-50))\/((-444)\/2072)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 7*a**2 + a**2. Let f(b) be the second derivative of b**4\/12 + b**2\/2 - 2*b. Let w(g) be the first derivative of f(g). Give w(t(h)).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -10, 82, 244?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/9))**50)**32*(g**(1\/3))**(-8)*g*g\/(g**(3\/5)*g*g)*g**(-5) assuming g is positive.\nAnswer: g**(55628\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 0*j + 0*j - 10*j**2 + 2*j**2 - 2*j**2 + 2*j**2 + (0 + 0 - 2*j**2)*(-2 + 6 - 5).\nAnswer: -6*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/234 - 7888\/442.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/sqrt(4)*1)\/(-2*sqrt(8)*-3))**2 + -4 + 5 + ((sqrt(3)*3*-5)**2 - (sqrt(33)\/(sqrt(11)*-3) + sqrt(3))).\nAnswer: -2*sqrt(3)\/3 + 8113\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 0*n - 6 + 5 + n. Let x be h(5). Suppose -z = -x*t + 2*t + 15, 0 = t - 4*z - 11. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*3\/((-15)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 13986?\nAnswer: 5\/2331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 15*x - 21. Find the common denominator of -97\/162 and (x\/40)\/(5\/(13360\/(-108))).\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10520 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6803999?\nAnswer: 389, 17491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 7*y - 4. Let o be p(-6). Let c be ((-3)\/o)\/((-27)\/(-72)). Do c and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23025286 is divided by 94754.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 12*v - 100 = 0. Let h = 9 + v. Round h to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 58 + 17 + 21 + 14215*v.\nAnswer: 14215*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(425) + 3 + sqrt(425))**2 + ((0 + sqrt(612))**2 - (sqrt(17)*-1 + 5)).\nAnswer: -29*sqrt(17) + 1038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmnmnmnmmmmm. What is prob of sequence nnmn?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 0 (c) -4 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 17*u + 483 = 0 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 5*i**2. Let r be g(5). Differentiate -1 + 2*y + r + 3 - 4*y wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10624\/51349 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*o**3 + 2*o**2 - 7*o - 2.\nAnswer: (o - 1)*(o + 1)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1044, 2\/5, -2, 5\/3 in descending order.\nAnswer: 5\/3, 2\/5, -2, -4, -1044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in 1, 2430, -1\/5, 5\/16, -5\/4?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (1 + 10 + -3 - -27)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = 29 - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**8\/2240 - b**7\/840 - b**4\/3 + 4*b. Let r(t) be the third derivative of i(t). What is the third derivative of r(a) wrt a?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 5*g**2 - 3*g + 3. Let m be l(3). Suppose 5*v + m = 8*v. Suppose 3 = -f - 3*o, -4*f + 0*o = -5*o - v. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 28168.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**2 + 104*o - 2210. Let i be z(25). Which is smaller: -2734 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 3*q**2 - q + 1. Let d be o(-2). Let z = -660 + 660. Put 5, z, d in descending order.\nAnswer: d, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/67892 and -1\/6381848.\nAnswer: 6381848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -1333*l**4\/4 - l**3\/3 + l**2 - 3*l + 1. Let d be m(2). Let c = d - -170573\/16. Find the common denominator of 133\/12 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -13*v + 352. Give i(27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, 1, -0.05, -2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-22))\/((-146)\/(-8030))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1) + (6 - (16 + -17)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9031.313 millimeters in kilometers?\nAnswer: 0.009031313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4745 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**5 + 11788*c**4 + 8584064*c**3 - 148401808*c**2 + 702064896*c - 562258944 = 0. What is c?\nAnswer: -1482, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8836, 35390, 79666, 141670, 221408, 318886, 434110?\nAnswer: 567086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/3 - 55\/(-15). What is the nearest to g in 0, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5*(-5)\/(-50))\/(2\/16). Suppose -l*n = -f + 18, 4*f - 121 - 11 = -4*n. Calculate the remainder when 59 is divided by f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b + 276?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - sqrt(96))\/sqrt(12) + 0.\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kssexssx. Give prob of picking 2 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, p: 10, z: 1, w: 1, t: 1, u: 6}. Give prob of picking 1 p, 1 a, and 2 u.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a**2 - 3 + 14*a + 2 + 4 + 5*a - 44*a**2.\nAnswer: -16*a**2 + 19*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28)\/(-10)*1200555\/54 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 384 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*i**2 - 9*i**2 + 13*i - 13*i.\nAnswer: 45*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 4*a + 0*a. Let k(x) = -25*x - 18*x + 48*x. Give z(k(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/3)*v\/v**5)\/(v**(-6)*v**(2\/49)) assuming v is positive.\nAnswer: v**(533\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 452 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -169829.9503142 - -0.0503142. Let l = 170010.9202 + n. Let f = -181 + l. Round f to three decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, r: 1, x: 1, f: 3}. Give prob of sequence xfrf.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 273 + -271. Let v(c) = -3*c - 3*c - j*c + 5*c. Let u(k) be the third derivative of -5*k**5\/12 + 9*k**2. Determine u(v(p)).\nAnswer: -225*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 648, 1347, 2098, 2901, 3756, 4663?\n\"Answer: 26*n**2 + 621*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 35?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-63))\/((-52)\/8 + 7). Suppose 2\/21*j**5 - 2\/21*j**2 - c*j**3 + 2\/21*j**4 + 0*j + 0 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l + 41. Let d(v) = -11*v + 42. Let z be d(3). Let m be w(z). Is m greater than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + 6 + -58 + -6 + (0 - 1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69*l**3*u + 2*l*u + 3*l + 32*u - 12 wrt l?\nAnswer: 207*l**2*u + 2*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 5*r**2 - 6. Let j = 13 + -5. Calculate the least common multiple of j and v(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + -4*sqrt(187)*-6 + (5*(-1*sqrt(187) + sqrt(187)) - sqrt(187)))\/((4*sqrt(66)*-2 - sqrt(66))\/sqrt(6)*5).\nAnswer: -8*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.044, 98, 0 in increasing order.\nAnswer: -1.044, 0, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 158\/19*v**2 + 156\/19*v + 2\/19*v**3.\nAnswer: 2*v*(v - 78)*(v - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 56068.48l?\nAnswer: 56068480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163352977 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813898 is divided by 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 11:24 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - z - z + (3 + 0 - 5)*(-5*z + 0*z + z) + (-8 + 7 - 3)*(z + z - z) + 2 - 2*z - 2 + (2*z - 3*z + 3*z)*(-2 - 1 + 2) - 2*z + 0 + 0.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 10*l**2 - 2*l - 65. Determine f(6).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/20*((-10)\/6)\/((-1)\/3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 24*m = -32 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 6*k**2 + 8*k + 10. Let a be z(-4). Let m be (a\/4)\/(3\/(-30)). What are the prime factors of 10*-5*10\/m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 3:49 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Let i = -0.6 + 1.26. Let g = 0.26 - i. Which is the closest to -1? (a) g (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64) - (((2*sqrt(64) - sqrt(64) - sqrt(64) - sqrt(64)) + sqrt(64))*-4 - sqrt(64)))\/((2*sqrt(24)*-5)\/sqrt(3)).\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1625264 and 253712.\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 632048189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-13 - (6 + -9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -39. Let y be 6\/z*(-1 - 4). Let g be (-2)\/(-10)*5\/4. Which is the closest to g? (a) 5 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1956 (base 10) to base 15.\nAnswer: -8a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 59*i + 79. Calculate p(27).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + 10 + (276 - 279)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 238*a + 5069*a**2 - 238*a + 1077*a**2 in the form u*a + l*a**2 + x and give l.\nAnswer: 6146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 8 = -7. Suppose b + p*f - 40 = 0, 0 = 3*b - 3*f - 2*f - 50. Calculate the remainder when 71 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from hfddddededdophd.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 4\/3, 0.12, -674?\nAnswer: -674","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*z - 5, 4*z - 3*z = 1. Let s(u) = u + 1. Let m be (1\/3*(-3 + -3))\/2. Let i(j) = 3 + 0 + 4 - 6. What is m*i(d) + p*s(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 + -99. Which is the third biggest value? (a) 0.1 (b) -2\/39 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7847312578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**5 + k**4 - k**3 - k + 1. Let p(l) = -6*l**5 - 5*l**4 + 5*l**3 + 15*l - 5. Let r(d) = -5*h(d) - p(d). What is the second derivative of r(z) wrt z?\nAnswer: 220*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 57*f + 7078. Give a(-116).\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -5, 0, -28.83 in increasing order.\nAnswer: -28.83, -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/593?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 155624462197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (0 + 1 - (21 - (-90)\/(-9))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 0*d - 4*d = -4, -5*d = -19*x + 46*x - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/6)\/(129\/172).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -21, 25\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.5156 + 0.1001. Let m = -3416 - -3411.6. Let g = r - m. Round g to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*s, -h - 3*s = 380 + 1335. Let m = 13829\/8 + h. Is 6 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 18*t + 94. Let d be l(17). Find the first derivative of 55*s - 169*s - 107 - d*s wrt s.\nAnswer: -191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89302371*u**3 + 70*u - 2474805?\nAnswer: -535814226*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y**3 + 73*y**2 + 11*y + 35. Calculate f(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9990244 and 1114614?\nAnswer: 269736588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -2*s**2 + 3*s + 13 + 1172\/3*s**3. Is m(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.153 + -996932275?\nAnswer: -996932264.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1387354000 rounded to the nearest 1000000?\nAnswer: -1387000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1212214?\nAnswer: 6061070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = y + 9. Let v = 7 - y. What are the prime factors of (v - 1) + (1 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = j + 3*o + 6, -3*o - 12 = 0. Suppose 5*g + 9 = j*g + 3*d, d - 13 = -4*g. Let x be 3\/9 - 11\/(-3). Solve -x = -2*v - g*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.083 + 0.063. Let q = z - 0.98. Which is smaller: -0.007 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b**3 + 4*b**2 - 3*b. Give h(2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 43\/2 of a microgram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 13) to base 4\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2470 = -5*q - 3*z + 16321, -3*q + 5*z + 8297 = 0. Calculate the highest common divisor of 1704 and q.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-195)\/66 + 5 + 1098\/(-198)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**5 + 185*z**4 + 970*z**3 + 1210*z**2 - 975*z - 1395 = 0.\nAnswer: -31, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1698 >= -1699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 500 by 2.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -23870120 divided by -11935060?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (81 - 34) - (15 - 8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 320 and 117568?\nAnswer: 587840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 4 = 10*y. Suppose -y*f = -f - 10. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -2*r**5\/5 + 51*r**4 - 134*r**3 + 100*r**2 + 7395. Find x, given that l(x) = 0.\nAnswer: 0, 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 168103, 29, 0 in decreasing order.\nAnswer: 168103, 29, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74610840 and 119377344?\nAnswer: 596886720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 3*w - 9. What is the units digit of y(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76505 and 13910?\nAnswer: 153010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15021117 at least 90126707\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 2*n**2 - 4*n - 4*n)*(-5 + 4 + 2).\nAnswer: 2*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c + 23 = -2*x, 3*c + 29 = -5*x. Let p be x\/(-14) + 16\/(-7). Let w(s) = -s - 1. What is w(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 11*l + 15. Let j be f(-10). Suppose i - 2*m - 5 = 0, -j*i + m + 2*m + 25 = 0. Suppose i*z = 191 + 264. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 8*i**2 + 9*i - 10. Let l be c(-6). Let j be 1410\/l - 55\/44. Calculate the highest common factor of j and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 853*l**2 - 33*l - 32. List the prime factors of b(4).\nAnswer: 2, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a second in milliseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 146 (b) 19 (c) 47 (d) -5\/4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71021950?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**2\/5 - 1419*s\/5 + 161856\/5 = 0. What is s?\nAnswer: 192, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180744 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 closest to -19 in 1\/8, -3, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -34329, -34356, -34401, -34464, -34545, -34644, -34761?\n\"Answer: -9*t**2 - 34320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3361 and 3.\nAnswer: 7.0083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n*u**6 - 280151*n*u**5 + 36*n*u**2 - 57*n*u + 241*u**2 wrt u.\nAnswer: 480*n*u**3 - 16809060*n*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1624 divided by -406\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 25 = 2*h, -4*z - 40 = -4*h + 28. Calculate the highest common divisor of 1344 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 + 4690*i**3 - 2347*i**3 + 5*i + 5*i**2 - 2344*i**3. Give v(9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - -0.45. Let g = 1004 - 1004.637. Let v = g + l. What is v rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**2 + 4*i + 7. Let a = -82 - -75. Let r be g(a). What is the greatest common divisor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-seven fifths of a litre?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156176\/105 - 4462\/3. Which is the nearest to 0? (a) z (b) 2\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 51. Let u(l) = -5*l - 4429. Give -6*q(d) - 2*u(d).\nAnswer: -2*d + 8552","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27859782 or -27859780?\nAnswer: -27859780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c - 3. Let q(h) = 8*h + 11. Let j(p) = -9*p - 12. Let f(r) = 4*j(r) + 5*q(r). Calculate -4*f(x) - 9*s(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1527, 2997, 4469, 5943, 7419, 8897, 10377?\nAnswer: 11859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.1? (a) -0.08 (b) -1\/2 (c) -33 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1 - 3 = 0. Suppose 4*a - a - 4*s = 11, a + s = -w. Let m(h) = -h**2 + 14*h - 17. Let q(k) = -5*k + 6. Let c(p) = 6*m(p) + 17*q(p). Determine c(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27984 and 4929.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 plus -89?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13213 minus -4983?\nAnswer: -8230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 43*z**2 + 188*z + 46. Suppose -2*s - w = w - 100, 5*w + 10 = 0. What is the least common multiple of x(5) and s?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8518\/6 - 18\/(-54). Suppose -5*d + l = -85. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3920000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a*b**2*z**2 - 11*a*b**2 - a*b*z - 22*b**2*z**2 + 2*b**2*z + 4*b*z**2 + b wrt z.\nAnswer: -2*a*b**2 - 44*b**2 + 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -295841 to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 + 7. Suppose 2*q - q = 6. Let m(r) = 2*r**2 - 1 + 3 - r**2 + 0. Let n be 272\/(-16) - (0 - -4). What is n*m(w) + q*a(w)?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34035*i**5 + 320*i**2 + 3*i + 1.\nAnswer: -2042100*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2 + sqrt(605) + sqrt(605) + 4 - sqrt(605))**2 + -3).\nAnswer: -3828 - 792*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228205 is divided by 409400.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**7\/2520 - d**6\/540 + d**5\/360 + d**3\/6 - 4*d. Let t(i) be the second derivative of u(i). Factor t(j).\nAnswer: j*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -2*x + 1 - 13, 6*x - 3*f - 1 + 37 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/489 in -2, -2\/81, 0.3, -2\/9, -1\/4?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 3, -9\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/1)\/(1\/(-2)). Let x(a) = -3*a + i*a + 1 - 2*a + 3*a. What is x(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2559, 2835, 3351, 4149, 5271?\nAnswer: 6759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -301 - -274. Do -1 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 70, 155, 274?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -404357396 or -404357395?\nAnswer: -404357395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/7, 0.5, -0.2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3087)*1*-2)**2 - (sqrt(77) + sqrt(77)*1*-3)\/((sqrt(33) + sqrt(33)*2)\/sqrt(3)).\nAnswer: 2*sqrt(7)\/3 + 12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 12*k. What is b(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(3060\/(-96))*15\/(-108)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 90207.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s. Let q(c) = 62*c. What is q(o(k))?\nAnswer: -124*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32615 - 40611?\nAnswer: -4663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6.610846 years?\nAnswer: 0.6610846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 451?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -93456 + 0.1029\nAnswer: -93455.8971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 10:07 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*y + 20, 0*y - 5*y + 4 = c. Let m be 3\/c*-2*-12. Suppose j = 2*j - m. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from cccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*z + 6. Find the second derivative of 6*h - z*h + 2*h - 5*h**5 wrt h.\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in -2\/17, 2, 2\/11, 5\/3, -2\/5, -13\/47?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4\/3*h**2 - 20\/3*h - 25\/3 = 0?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11081821703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**2 - 5 + 0*t**2 + 9 + t + t**3 - 2*t**3. What is r(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -5*q**8\/336 - q**5\/30 - 7*q**2. Find the third derivative of r(a) wrt a.\nAnswer: -300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 178 - 30)*(-1 + 1 + f) in the form w*f + m and give w.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.5. Let s = -6.2 + 122.2. Let z = s + -116.05. Sort 3, z, q in decreasing order.\nAnswer: 3, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13210*c**5 + 7932*c wrt c.\nAnswer: -264200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(245)*-1)**2 + sqrt(5) - sqrt(5)).\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/5, 1 in decreasing order.\nAnswer: 2, 1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -10 - (-4 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -14*j**3 - 185*j**2 - 294*j - 158. Let u(h) = 5*h**3 + 63*h**2 + 98*h + 53. Let p(t) = -17*u(t) - 6*z(t). Is 19 a factor of p(41)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 22 = -4*f + 5*a, -5*f - 4*a = 6. Calculate the smallest common multiple of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*g + 168*g = -56 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002124 rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**28*b**(-17))**36)**(4\/37) assuming b is positive.\nAnswer: b**(1584\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + s**3 + s**4 - 38*s**3 - 4 - 89*s**3 - 38*s**3 to p*s**2 + d*s**4 + c*s**3 + t*s + h and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123511 + -51?\nAnswer: -124002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*f - 3*z, 0 - 63 = -3*f - 5*z. Suppose -q - 19 = f. Let m = q - -73. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4132, -4, 18, -2 in decreasing order.\nAnswer: 4132, 18, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 5. Let u(b) = -4*b - 14. What is 8*o(l) - 3*u(l)?\nAnswer: 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 174345*i**2 - 2200963 with respect to i.\nAnswer: 348690*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13201413?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -483, -1037, -1597, -2163?\n\"Answer: -3*w**2 - 545*w + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2.08. Let f = -239 + 239.28. Let q = f + x. What is the nearest to q in 0, -1\/2, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**2 - 9*o + 2. Let c(f) = f**2 + f - 1. Let w(t) = -2*c(t) - r(t). Let i = 2168 - 2152. What is the remainder when w(-6) is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -18. Let m = x + 24. Solve 4*y + 4*k - 36 = 0, 4*k + 3 = m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 - 52*l**3 - 218*l**2 + 1848*l + 10584.\nAnswer: -2*(l - 6)*(l + 7)**2*(l + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 - 2*r**2 + 5*r**2 + 175*r - 168*r + 2*r**3 + 2 to s*r + l*r**2 + d + f*r**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 3)*(n + 0 + 0)*(-5*n - n + 0*n).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1625 + 2311. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/20*25\/(-2)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.95 rounded to 2 dps?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/12 - 637992\/(-2400). Let c = 266 - x. What is the third biggest value in 0.4, 2\/13, 3\/5, c?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186 (base 15) to base 8\nAnswer: -537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4837 - 21*j**3 + 4837 - 3*j**3 - 4*j.\nAnswer: -24*j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462350 is divided by 776.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-seven halves of a microsecond?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 915, 2300, 4315, 6978?\nAnswer: 10307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -519, -3 in descending order.\nAnswer: -3, -7, -519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 333 and 222.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/6470608 and 73\/237890?\nAnswer: 32353040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/5 - 8*r\/5 - 16\/5.\nAnswer: -(r + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*f + 2*r + 9, f = -3*r + 9. Suppose 12*y - 15*y = d + 3, -4*d - 12 = -3*y. Suppose y = 7*v - 12*v + 20. Solve f = -c - v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -82*a - 19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 8. Suppose -c*z + 12 = 2*z. Suppose 4*a - 7 = z*a. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.2 + 12.2. Let d be 6*(-9 + 5)\/8. What is the third smallest value in d, -0.1, -10, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 390624944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2577 from -197282375.\nAnswer: -197284952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 10*k**2 - 182*k + 1925. Calculate the remainder when a(11) is divided by 84.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 2*x + 1, -l - l = x + 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-2 + sqrt(245) + -1 - (6*sqrt(245)*1 + sqrt(245))) + 0 + 5)*1 + 0)**2.\nAnswer: -672*sqrt(5) + 35296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/2)*q*q)**(-20)*(q*q\/(q\/(q**(2\/15)\/q*q*q)))\/q**(2\/31) assuming q is positive.\nAnswer: q**(-31588\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2433150?\nAnswer: 2, 3, 5, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -20*((-4 - -5) + (-9)\/6). Suppose -25 = 3*u + 2*h, -2*h = -3*u + 3*h + c. Let m(r) = r + 8. Give m(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*r = 10 - 54, 2*r = -10. Let g(b) = b**2 + 15*b + 40. Calculate the smallest common multiple of g(v) and 77.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 14. Which is the nearest to g? (a) 0.2 (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*q**3 + 0*q + q - q.\nAnswer: 199*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 minus 29543708?\nAnswer: -29543708.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 10*h - 24 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-576)\/224)\/(56\/(-196))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10932210 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (584\/1022*(-2)\/4*7)\/102.\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 182060 and 2?\nAnswer: 182060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -264276 - -133682. Let t = z - -193594. Round t to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 - -1.48. Let a = -687 + 686.8. Which is bigger: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12825*g**2*u**2 - 103*g**2*u + 5*g*u**2 + 42*g*u + 2*g + 74*u**2 wrt g.\nAnswer: 25650*u**2 - 206*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5*r - 2*r + 14630, -h + 5*r + 2926 = 0. Suppose -9*s = -4*s + 3*x - h, -4*x = -3*s + 1773. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200)\/160 - ((-9)\/9 + 111\/(-156))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2798975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 3 = -5*g, 4*g = -4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**4 + 0 + 0)*(d - 4*d - d)*(-1 + 2 + 0)*(0 + 2 + 1).\nAnswer: 24*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 243*j**3\/5 + 7074*j**2 - 630924*j\/5 + 2661336\/5 = 0?\nAnswer: -162, 74\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347618 is divided by 143?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -985*g + 16672 + 31792 - 4439 = -20000 for g.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**3\/11 + 3330*x**2\/11 + 3336*x\/11 - 6664\/11 = 0.\nAnswer: -2, 1, 1666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 4*m - 2. Let v be t(-7). Suppose -4 = 5*f - v. Factor 0*g + g**2 + 0 - 7\/2*g**f.\nAnswer: -g**2*(7*g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7673\/170 + -854\/17. Calculate the common denominator of n and 61\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3100399 to the power of 1\/2, to the nearest integer?\nAnswer: 1761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206176?\nAnswer: 2, 17, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(-31970)*160\/(-8).\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*d - 3 + (17*d + 33*d + 12*d)*(-1 - 5 + 4).\nAnswer: -122*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*k - 11, -5*t + k = 2*k - 7. Let m = t + -1. Solve m = 3*y + 4 + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 487959.621 to the nearest 100.\nAnswer: 488000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.73, 1\/4, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9199*l**2 + 208 - 70 - 68 - 70.\nAnswer: 9199*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2043, -287, 1, -1 in increasing order.\nAnswer: -287, -1, 1, 2043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.69 - 2.0395655?\nAnswer: -0.3495655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 38. Is (102\/(-9))\/(q\/(-30)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Suppose 2*x - 5*z + 21 = 0, 2*x - 2*z + 5*z = 19. What is the first derivative of p + b**3 - 4 - x*b**3 wrt b?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3068 and 942525.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6195.998 to the nearest 10.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 190*p**4 - p**2 - 27086*p**3 + 1598 + 27086*p**3 wrt p.\nAnswer: 760*p**3 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 + -7 + 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -315, -364, -221, 204, 1001, 2260, 4071?\nAnswer: 6524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1814\/967 or -3?\nAnswer: -1814\/967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/168*384\/1392.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, -2, 2, -4, 4.\nAnswer: -78, -4, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115 and 4935.\nAnswer: 113505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 76 and 90.5.\nAnswer: 6878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -50 - (-1 + -75).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1456, -2803, -3958, -4825, -5308?\n\"Answer: 16*p**3 - 1459*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 64 = -3*z, 0 = 4*z - 2*x + 91 + 11. Is (z\/(-2))\/(13\/78) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3313 + 33?\nAnswer: -3230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10783417.\nAnswer: 10783417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28866 = 4581*g + 5961 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 691 a factor of 42356974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaavaaaaaavaaaaava. Give prob of sequence av.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 545*h**2 - 110*h. Let t(z) = -18*z**2. Give r(t(p)).\nAnswer: 176580*p**4 + 1980*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 - k**3 + k**3)*(2*k + 4*k - 4*k)*(-3 - 4 + 4) - 3 + 2*k**4 + 3 + (2*k**4 + 2*k**4 - 3*k**4)*(-4 + 2 + 1).\nAnswer: 7*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**5 - 32*i**4 + 68*i**3 + 8*i**2 - 96*i = 0.\nAnswer: -1, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/20 and ((-11)\/((-231)\/30))\/(3372\/(-51))?\nAnswer: 39340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 348*v**5 - 2692*v**4 + 6100*v**3 - 5628*v**2 + 1984*v - 112 = 0.\nAnswer: 2\/29, 1, 14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2346 and 1380?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -4051?\nAnswer: 4051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -284 > 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/45, -4, -1, -115, -5, -0.08?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 15514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -981 (b) 3\/44 (c) 20.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1550205 - 0?\nAnswer: -1550205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110061 is divided by 27509?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1337.3 and -1.\nAnswer: 1336.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -329*p - 4012*p + 7517*p to the form v + f*p and give f.\nAnswer: 3176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 26*w**2 - 24*w**2 + 272*w**3 + 1405*w**3.\nAnswer: 1677*w**3 + 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/6*(-3267)\/(-165)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -32407400 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48.36 + -0.36. Let h = q - 45. Is h bigger than -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i = 4*j - 96, -2*j = 3*i - 69. Let y = i + -21. Which is greater: y or 2\/45?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1106956 and -116.2646.\nAnswer: 1106839.7354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 85*y - 12 + 6*y)*(0 + 1 - 3).\nAnswer: -182*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*l = 52, 42 = 4*p + l - 10. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 97 and -38.\nAnswer: -3686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9094890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 4*t**7\/35 + 13*t**3\/6 - 35*t**2\/2 - 26. Let h(v) be the second derivative of f(v). Differentiate h(y) wrt y.\nAnswer: 96*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxf when three letters picked without replacement from imxfd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.8167996 millennia?\nAnswer: 9801.5952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -10330*u**3 - 2*u**2 + 10*u + 2. What are the prime factors of t(-1)?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 10 + 2. Suppose 14 = -5*f - p*j + 4*j, -4*j - 19 = 5*f. Which is the second smallest value? (a) -12 (b) f (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 17*f = 42 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 134 + -75. Let s be (-3830)\/(-60) + (-2)\/(-12). Suppose 11 = 5*v - s. Calculate the remainder when j is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 235084\/6 - 2 - (-388)\/(-582)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26 + 760*k**2 - 601 - 27 + 27 wrt k?\nAnswer: 1520*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a5300 - 0?\nAnswer: 4a5300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o - 2*o)*(2*o - o - 3*o) - 3*o**2 + 27 - 27 - 2*o.\nAnswer: o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 - 80. Let s = -8.36 - 1.54. Let b = s - j. What is the smallest value in 0, -1\/7, b?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 9:19 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2873945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 + 2 - 4*m + 6*m + 3*m - 1 to the form n + p*m + g*m**2 + q*m**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.27, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1345*k**3 + 861*k**2 + 669*k**3 + 579*k**2 + 677*k**3.\nAnswer: k**3 + 1440*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626877 is divided by 156138.\nAnswer: 2325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 18*m**2 - 3*m. Let s be 2916\/10 - ((-36)\/(-10))\/6. Let f = -252 + s. What is the remainder when t(3) is divided by f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7579660*c**2 + 256162067*c.\nAnswer: -15159320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/3943 and -149\/165606.\nAnswer: 165606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 9*l = -2*w, -4*l - 3 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzalzzlpzlpaazlzllz. What is prob of picking 2 p?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*d*m**3*r + 2287*d*m**2*r**3 - d*m**2 + 2307*m**3*r**3 + 21*m**3 + 399*m**2 wrt m?\nAnswer: 264*d*r + 13842*r**3 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 9\/4 - 1. Let p be (-4)\/(-8) + (-11)\/30. Sort -1\/9, p, x in decreasing order.\nAnswer: x, p, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.13803 - 2347.63803. What is p rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 4 (c) -19\/3 (d) -1 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -100? (a) 37 (b) -0.2 (c) 15 (d) -0.28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 5*x - 1. Let q(t) = t**2 - t - 4. Let l be q(3). Suppose 0 = -2*j - j - d + 20, l*d = 4*j - 10. Calculate r(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2220349 is divided by 1546.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4060566 (base 7) to base 8.\nAnswer: 1663657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2478 is divided by 826.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 54?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10896403\/3 or 3632133?\nAnswer: 3632133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1236 = -33*i + 5727. Is 5 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13944 + -13863. Let r = -88 - -134. What is the remainder when c is divided by r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**4 + 3*r**2 - r**4 - 3*r**4 - 41*r**3 + 40*r**3 + r - 1 in the form h*r + u*r**2 + o + q*r**3 + s*r**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133739050 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*l + 5 + 24, -4*x + 90 = -l. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 3*r**2\/2 - 7*r + 1. Find the first derivative of n(u) wrt u.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 2:13 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -184.502 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62.8 + -62.8015105. What is r rounded to five decimal places?\nAnswer: -0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 9*h + 2. Let r(l) = 11*l + 3. Let v(t) = -4*q(t) + 3*r(t). Give v(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33006 and 704128?\nAnswer: 2112384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-540159570\nAnswer: -540159570.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.82 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3549, 6814, 10079?\nAnswer: 13344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-345)\/(-18)*12348\/(-3430)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 5*y - 3310. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2111023231 (base 4) to base 5\nAnswer: -124023203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 24850*j - 25044125.\nAnswer: -5*(j - 3565)*(j - 1405)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -119, -235, -353, -473, -595?\n\"Answer: -i**2 - 113*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxnm when four letters picked without replacement from {x: 2, m: 1, n: 1, f: 1, c: 5}?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -13444.766 to the nearest one hundred.\nAnswer: -13400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 222333?\nAnswer: 223000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -188, -3\/7, 82, 1, -3, 1\/10, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (72\/14)\/((-6)\/(-21)). Suppose 3*v + s = -24. Let y = v - -13. Which is greater: y or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 44 + -66?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -39, 3, -10 in decreasing order.\nAnswer: 5, 3, -5, -10, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.701382492 rounded to 3 decimal places?\nAnswer: -2.701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-453789)\/(-33) + 12\/(-66) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -323, -0.016, 3\/5, -5, -0.2 in increasing order.\nAnswer: -323, -5, -0.2, -0.016, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u - 3. Let m be g(-5). Let f be (10\/(-4))\/((-6)\/m). Let p(r) = -r + 5. Calculate p(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 8:48 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/263, 876\/17.\nAnswer: -0.1, 1\/263, 876\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1414957?\nAnswer: 1414957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38.02 and 3574?\nAnswer: 135883.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*y**4 - 13434*y**3 + 137652*y wrt y?\nAnswer: 264*y**2 - 80604*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + (sqrt(17) - (sqrt(425) + 4)))**2 - (-4*sqrt(833) - sqrt(17)*-4*-5)**2.\nAnswer: -38887 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*d**2*o**3 + 4*d**2 - d*n**2 - 2*d*n*o + 13*d*n - 2*n**2*o**2 - o**3 wrt o?\nAnswer: -216*d**2*o - 4*n**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 7020?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -24713234300 to the nearest one million.\nAnswer: -24713000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458 - 2724 = -u. Let s = u + -1156. What is s rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (194338\/21)\/((-8)\/6). Let i = z + 6944. What is the common denominator of i and 10\/8 - (-3)\/(-5)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13649, -13636, -13605, -13550, -13465, -13344, -13181?\nAnswer: -12970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 - 2. Let v(m) be the third derivative of m**5\/60 + 7*m**4\/24 + 5325*m**2. What is v(a(q))?\nAnswer: 9*q**4 + 9*q**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -71162*l - 98. Let k be p(1). What is k rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59463*v**3 + 198*v**2 - 63*v wrt v.\nAnswer: -356778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 5:10 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 49504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*u - 11, 0 = -2*u + 5*t - 13 - 4. Is (-123)\/(u - 5 - -5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -203, -197, -165, -101, 1, 147, 343?\n\"Answer: f**3 + 7*f**2 - 22*f - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57\/35 + 86\/21. Let s = 9\/5 - d. Let k = 3 + -1. Which is the second smallest value? (a) s (b) k (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/21, 1, -10\/7 in decreasing order.\nAnswer: 1, -1\/21, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002092 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: Find the second derivative of 74087*j**3 - 2*j - 1390.\nAnswer: 444522*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*j - 7 + 29, 4*j = -3*i - 1. Which is the nearest to 1? (a) -4\/5 (b) i (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-3\/7)\/l)*l)**(18\/5)*(l\/(l\/(l*l**(3\/4))))\/l**(4\/13) assuming l is positive.\nAnswer: l**(18537\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 12*g**2 + 3*g**2 - 40*g - 8*g**2 - 11*g - 10. Let s be j(8). Solve 9*f = s - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32276 <= 32272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 1835717080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-56)\/(-252))\/(142\/(-48) - -3). Which is the fourth smallest value? (a) 7 (b) -0.2 (c) s (d) 1\/3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - -49.36. Is m greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**3\/3 - 3*i**2 + 3*i. What is s(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350 and 490?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -18\/5*c**2 + 96\/5*c - 96\/5*c**3 + 42\/5*c**4 - 24\/5 = 0. What is c?\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10732.86 nanograms in kilograms?\nAnswer: 0.00000001073286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7734*c + 35*c**3 - 36*c**3 + 7733*c + 7728*c - 30927*c + 7732*c.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133 - -333. Calculate the greatest common factor of q and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4517 equal to 280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 41 + 69 = 0. Find the common denominator of -101\/10 and (j\/(-48))\/((-3)\/60).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*q**3*x**2 + 7*q**3*x + 9302212*q*x**3 - 392832*q*x wrt x?\nAnswer: -88*q**3 + 55813272*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*f + 1320 + 241 = 336*f. Calculate the highest common divisor of f and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2.96. Let x = k + -0.34. Let z = -8 - -3. What is the third biggest value in z, x, -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(2*15)*-2.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*-3446*(-1)\/(-4). Let d = -695 - q. Suppose 749 = -5*v - d. Round v to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*k + 121*k - 29556 = 78344. Is k a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 + 0*z**2 + z**2 - 6*z**2. Let s(a) = -6*a. What is m(s(t))?\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78147 and 19996949.\nAnswer: 179972541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 11*o**2\/2 - 13*o + 16. Differentiate t(k) with respect to k.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -130.57, 881\/2 in increasing order.\nAnswer: -130.57, 2, 881\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -561 smaller than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 13 - (-1 + 47 - 46)) + 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times 0.04\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.7 * 1.46.\nAnswer: 5.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1796, -7243, -16324, -29039, -45388?\nAnswer: -65371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*z + 764 - 764 + 23*z**2 to s + o*z + i*z**2 and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 69 = 3*q, -4*i + 133 = i + 4*q. Is -1\/2 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13939603551 minus 27.524?\nAnswer: -13939603578.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 325 - 163. Calculate the smallest common multiple of m and 12.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3738 a factor of 2624076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1153, 2306, 3463, 4624, 5789?\n\"Answer: 2*r**2 + 1147*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 1024.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - 1 - (-211692)\/(-52946). Which is the smallest value? (a) -0.1 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.8894141 micrometers?\nAnswer: 0.00008894141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2*k = 3, 2*k + 3 = -5*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - 3 + 3 + (-1 - 1 + 3)*(-6*v + v + 3*v) + v + 0*v - 5*v + v + 4*v - 2*v + (1 - 2 + 0)*(-2*v - v + 5*v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(-4)\/8*-1. Solve 0 = -2*o + 3*z + c, z - 4 = o + 2*z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1e22d1 (base 15) to base 11\nAnswer: -918643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1321898 is divided by 138.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214.8414 days to seconds.\nAnswer: 18562296.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.19 - 0.29. Let h = -0.333 + 0.533. Let j = 0.2 - 0.2. What is the closest to a in j, h, 6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/80014 and 67\/3433328?\nAnswer: 37766608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5662 and 2311.\nAnswer: 13084882","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 11. Let z = -3.006 + c. What is z rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*c - 172 = 233*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 818.8298nm to millimeters.\nAnswer: 0.0008188298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 387504043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/5))**45*(g*g**(2\/17)\/g*g)\/((g\/g**(-1\/9))\/g) assuming g is positive.\nAnswer: g**(-5354\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/11 (b) -1 (c) 1 (d) -3 (e) 2\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74896751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**2 - 10*u - 23. What is w(-4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 68.30792\nAnswer: 71.30792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -77737105 - 0.8588\nAnswer: -77737105.8588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -124*15\/(-6975)*-2*(-18)\/(-64)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -9*c. Let z(p) = 5*p. Let r(l) = 6*i(l) + 11*z(l). Suppose 0 = -5*f + 3*f + 4. Let w(s) = -4*s + 6*s + f*s**2 - 2*s. Calculate w(r(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 90, 80, 70, 60, 50, 40?\n\"Answer: -10*f + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -56*v**2 - 115*v - 438. Calculate s(-4).\nAnswer: -874","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 327364, 327355, 327340, 327319, 327292?\n\"Answer: -3*n**2 + 327367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - 6155\/(-45)) + 2. Let g = -30169\/198 + x. Let o = g - -239\/11. Calculate the common denominator of -15\/226 and o.\nAnswer: 2486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 401 divide 3314265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o. Let m(a) be the first derivative of -1 + 0*a**2 + 0*a**3 - 1\/6*a**4 + 5*a. Let b(s) be the first derivative of m(s). Calculate x(b(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 864 is divided by 284?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**7\/1260 + 7*i**6\/1080 - i**5\/45 + 19*i**4\/8 - 91*i**2. Let v(w) be the second derivative of t(w). Factor v(z).\nAnswer: -2*(z - 1)*(3*z - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277047739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqf when three letters picked without replacement from {d: 1, f: 1, j: 4, q: 1, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5057160 and 110246088?\nAnswer: 551230440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64 + 1\/4*r**2 - 8*r.\nAnswer: (r - 16)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -20*a**2 - 22. Let h(p) = -3*p - 3. Let w(c) = 2*c**2 + 12*c + 12. Let o(g) = 4*h(g) + w(g). Calculate l(o(s)).\nAnswer: -80*s**4 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 1:17 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-4))\/(-10)*(-2)\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -392, -746, -1084, -1400, -1688, -1942, -2156, -2324?\n\"Answer: q**3 + 2*q**2 - 367*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 13, 3, -9, -23?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16, 13, -4, -41, -104, -199, -332?\n\"Answer: -t**3 - t**2 + 7*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1127 and 1736.\nAnswer: 1735.8873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62788, 0, 74 in ascending order.\nAnswer: 0, 74, 62788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7412 and 272.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 5 = -r. Let n be r + -1*39 + 1. Let p = n + 41. Solve -3*t = l + 2*l + 3, -5*l - 37 = -p*t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 12*p**2 + 3*p - 5. Let i = -13 - -15. Suppose -7*k + 60 = -i*k. What are the prime factors of b(k)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 122 (b) 5 (c) 3 (d) 2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (18\/45)\/(7\/5)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6021, -12032, -18043?\n\"Answer: -6011*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 8:50 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g - 19*g - 69 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -115*r**4\/4 + 189*r**3 + 25671*r**2\/4 - 9233*r + 2655 = 0.\nAnswer: -295\/23, 2\/5, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*r - 1)*(-762 + 5282*r - 3249*r + 762 + 19045*r).\nAnswer: -42156*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 106*u**2 + 881*u + 358. Determine k(-8).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -8*v - 6 + 4*v + 0. Calculate the remainder when 53 is divided by p(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -1 - (13 + (-7 - 3 - 0))) + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 112*c = -77*c + 5880 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 6091 = -v - 6089, -4*v = -n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 + 84. Let h = 53 - z. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 256\/(-8)*(-2)\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58706651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 421.9334948 - 351.93349419. Let h = s + -70. Round h to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-9\/5)*i\/(i\/i**(-6)))\/(i**(2\/19))**(6\/23) assuming i is positive.\nAnswer: i**(-7052\/2185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2\/15, -0.15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15304 (base 6) to base 9\nAnswer: 3364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**9\/2520 + s**8\/2100 - 7*s**3\/6 + 10*s. Let o(t) be the second derivative of c(t). Let o(i) = 0. What is i?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*o + 561 + 621, 3*o + f = 705. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 - -63. Let w(r) = 8*r - 28. Let j be w(m). Suppose 23*l - j = 26*l. Is -12 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-1)\/(0 - 5)). Suppose 0 = -m + w + 3. Solve 0 = -8*g + 4*g - 3*a - m, 5*a = 3*g + 35 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8834 divided by 753?\nAnswer: -8834\/753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and -440519?\nAnswer: 6167266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 + 3*y**3 - y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 823 is divided by 3\/((-8)\/((-3680)\/15)).\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 44*q - 1409. Let l be m(38). Let b be (2 - 1)\/(1\/(-193)). Is b at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10417, -18231, -26045?\n\"Answer: -7814*o - 2603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39.4 - -1.4. Let z = 40 + b. What is the closest to 6 in 0.5, -3\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-500)*-10)\/((-30)\/(-16)). Let p = 18\/25 - w. Suppose 0 + 2\/3*n - p*n**2 = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/8 and 32\/37.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41499 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 31 = l, l = 6 - 1. Sort -6\/7, 5, 3, n in descending order.\nAnswer: 5, 3, n, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 - -38. Suppose -4*u = -i - 223. Calculate the highest common factor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 224*j**2 - 72*j + 69. Give z(1).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 454*z - 25. Let v be o(-9). Let y = 41059\/10 + v. What is the common denominator of 55\/26 and y?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 145971*v + 6716778. Calculate u(46).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36899112 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + 6)*(-5 - 0). Let t = 11 - 3. Let n = t + j. Solve -5*m - 5*h + 6 = -14, -n*h + 12 = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 25 = -135. Suppose -7*s + 2*s = 0. Suppose 5*c - y - k = 0, s*c = -c + 2*y + 20. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 43\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -132.103179 + 132.11. Round t to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -122 or -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -15. Solve o = 4*b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -221*n + 226*n + 3 + 3, -156 + 156 = -4*c - 4*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 5*n - 17. Let b be q(0). Let t be 78\/9 - (-136)\/b. Factor t - c + 1\/3*c**3 + 0*c**2.\nAnswer: (c - 1)**2*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + 9 + 3 + n**3 - 8 - n**4 as q + s*n + r*n**3 + w*n**4 + o*n**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -33*p + 6. Let k be u(2). Let y = k + 66. What is the greatest common divisor of y and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 1581*u**5\/10 + u**3\/6 + 1011*u. Let o be (-1*(-2 - -1))\/1. Is i(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*r - 7*r**3 - r**3 - 5*r**3 wrt r?\nAnswer: -78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + -139860a?\nAnswer: -1398600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/x**(-15))*x*x\/((x*(((x**(-16)\/x)\/x)\/x)\/x)\/x) assuming x is positive.\nAnswer: x**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 233\/5, 0.04, 8\/3, -8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 - p**2 + p - 1. Let n be g(1). What is the nearest to -2 in n, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3806 and -917.\nAnswer: -3490102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2397\/(-30)*(-1)\/2. Let v = -212\/5 + p. Find the common denominator of (58\/(-6))\/((-2)\/(-3)) and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-1)*(-28)\/(-462).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1275 divided by -425.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20 - 19c4?\nAnswer: -1a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/2 (b) 3 (c) 5.4 (d) -0.3 (e) -37\/4 (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -2\/11 (b) 2 (c) 0.248385\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 262 = -558. Calculate the remainder when j is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -70401, -140778, -211155, -281532, -351909, -422286?\n\"Answer: -70377*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*y + 3*c, -11*y = -7*y - c + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 266.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 304, -9, -5, 19, 3, 0.\nAnswer: -9, -5, -1, 0, 3, 19, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 - 0)*32\/64. Let a be f\/14 + (-858)\/182. Which is bigger: -3 or a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/3))**(6\/11)\/(s\/s**(-3\/2)*(s\/(s*s**3))\/s) assuming s is positive.\nAnswer: s**(37\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 e, and 1 k when three letters picked without replacement from ssdeksnse.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 + 26*j**2 + 47*j - 22. What is the remainder when y(-10) is divided by -74*(-2 + 3\/2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277427415 to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39286 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*r + 2. Let c = -2 - r. Let b(s) = 6*s**2 + 11*s + 10. What is the remainder when b(-1) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -5 (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -6*(sqrt(200)\/(sqrt(32)\/sqrt(4)))\/(sqrt(45)*-5))*-6)**2.\nAnswer: -576*sqrt(5)\/5 + 3024\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l + 12. Let s be m(-5). Suppose 5*n = s - 27. Which is greater: -6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201161530.\nAnswer: 2, 5, 61, 329773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-3)*(5 - 2). Suppose 0 = 5*y - 5*c - 10, -8 = -j*y - 2*c - 0. Let l = -55 + 55. Sort -2, l, y.\nAnswer: -2, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*o - 3576 - 2330 = -1058 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g + 8. Let y(q) = 7 - 6*q + 2 + 8. Let j(w) = -13*b(w) + 6*y(w). Let h(s) = 6*s - 3. Let d = 1971 + -1968. Give d*h(l) - 5*j(l).\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 23*w - 26*w - 3*x, -3*w - x + 4 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8510 divided by -37\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, l: 1, w: 8, t: 7}. What is prob of picking 2 t and 1 w?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s - 25*s + 4*s + 1 + (-s + 2*s + 3*s)*(3 - 6 - 6).\nAnswer: -60*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1356317, 1356326, 1356331, 1356326, 1356305, 1356262?\n\"Answer: -f**3 + 4*f**2 + 4*f + 1356310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 15 - 5. Let g(z) = -3*z**2 + 4*z. Let x(c) = -2*c**2 + 3*c. What is p*g(l) - 5*x(l)?\nAnswer: -2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 920762894*o**4 - 696891502*o wrt o?\nAnswer: 11049154728*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 14488?\nAnswer: 101416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 5*w + 1. Let p be d(5). Suppose -b - p = -6. Suppose -b*x - 3*c - c + 28 = 0, 4*c = -x - 4. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 316 - 317. Suppose -2*z + 2 = -6. Suppose -3*t + 4*q = 7*q, -z*t = -2*q + 12. What is the closest to t in c, 5, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7641, -233, -36?\nAnswer: 2\/7641","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 6*o**2 + 3*o - 2. Determine d(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**3*x**2 + 200229*m**3*x + 2*m**3 + 12*m*x**2 + 2*m*x + m + x**2 - 1 wrt m?\nAnswer: -6*m*x**2 + 1201374*m*x + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64640 in -5, -0.5, -3, 13, -3\/7?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*d**3*j**2 - 3*d*h**3 + 7*d*j**2 - 2*h**3*j**2 - 11*h**3*j - 9*h**2*j**2 wrt d.\nAnswer: 18*d**2*j**2 - 3*h**3 + 7*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3626 - 1772?\nAnswer: 1744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = w - 23. Suppose 2*t + t = -w, -3*p + 3*t + 252 = 0. Calculate the remainder when p is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -9*m**3 - 9*m**2\/2 + 14*m. Let h(l) = 109*l + 19. Let s(j) = 2*h(j) + 5*v(j). Is s(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212 (base 10) in base 11?\nAnswer: -a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40*64\/800*(-5)\/(-6).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 1085750735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y + 225. Let c(o) = 5*o - 20. Let h be c(10). What is the greatest common divisor of h and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11652108 + -5?\nAnswer: -11652112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - 5.04. Let g = 5 + d. Let i = 6 - 2. Sort i, 0.2, g in increasing order.\nAnswer: g, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 124*h**2 + 224*h - 3248. Determine n(-122).\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -41. Suppose 3*y - 8 = m, -y + 89 = -m + 91. Solve -24 = 4*o - 3*q - y, 4*o = -q - t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d - 1. Let n(j) = -j**3 - 2*j**2 + 4*j + 2. Let c be n(-3). Let l be s(c). Suppose -z - 2*k - 61 = -l*z, -5*z + 103 = -2*k. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -461, -489, -535, -599, -681?\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63*m*r**3*z - 1805*m*r**2 + 4*m*r*z - r**3*z + 198*r*z + 23*r wrt r?\nAnswer: -378*m*r*z - 3610*m - 6*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = -v + 8440. Let l = v - 98041\/12. What is the common denominator of l and -79\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127\/126 - -11\/14. What is the third biggest value in n, 21\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1630482 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7948 - 55634\/7. Which is the closest to -2\/13? (a) 0.3 (b) -0.2 (c) y (d) 10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33142 (base 5) to base 9.\nAnswer: -3132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -21, -13, 2 in descending order.\nAnswer: 15, 2, -13, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 88589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -35*i**2 - 3. Let d(p) = 14*p**2. What is d(r(o))?\nAnswer: 17150*o**4 + 2940*o**2 + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 at least 266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -4, 2, 1, -1 in decreasing order.\nAnswer: 2, 1, -1, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21291458 * -0.2.\nAnswer: 4258291.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 500.964 - -1.036. Let b = -502.000886 + w. What is b rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -12734 in descending order.\nAnswer: 1, -3, -12734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 181\/5 + -11393\/315. Let p be 1\/(-2) + (-1174)\/(-1260). Let m = r - p. Which is smaller: -5 or m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4 + 1 + sqrt(252) + sqrt(252) + sqrt(252))**2 + (6*(sqrt(252) - (sqrt(252) - (sqrt(252)*1 - sqrt(252)))) + 6*(sqrt(252) + -1))**2.\nAnswer: -252*sqrt(7) + 11403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 28. What is the highest common factor of s and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*1*(8 - -9). Let g = o - -12. Find the common denominator of -41\/5 and (-10)\/(-6)*(-26)\/g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -3*j - 30, 4*j - 2*i = -1693 + 1639 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27083 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4. Let a(c) = -c**2 + 5. Let l be a(f). Suppose -l*u - m + 33 = 0, 0 = 5*u + 4*m - 0*m - 27. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o. Let k(m) = 187*m**2 + 33*m - 33. Let y(q) = 4*q**2 + q - 1. Let t(d) = -k(d) + 33*y(d). Calculate t(n(s)).\nAnswer: -55*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 8:26 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/13)*g*g\/(g**(-2\/9)*g))\/(g**(-1\/2))**(-2)*(g**(2\/11)*(g*g**(-5)*g)\/g)\/(g*g*g**(-1\/2))**(-6\/35) assuming g is positive.\nAnswer: g**(-157327\/45045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -3150, 0.4, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (78\/(-33))\/(19\/((-836)\/8))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21937 - 21782. Calculate the remainder when g is divided by 65.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -239275, -239253, -239231?\n\"Answer: 22*c - 239297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 61 = -1057. Is x > 250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1970, -4140, -6500, -9044, -11766, -14660, -17720, -20940?\n\"Answer: h**3 - 101*h**2 - 1874*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.111 - -50.111. Let w = 50.00991531 - 0.00979931. Let a = w - k. Round a to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Let u(y) = -10*y - 64. Let m be u(-6). What is the nearest to -2\/3 in m, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {g: 5, i: 13}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Let d = -42 + 44. Suppose -5*z + 5 = 0, -3*k + 0*k + 28 = -d*z. Calculate the least common multiple of k and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 - 4*m**3 + 2*m**3)*(-3*m - 2*m + 7*m) + (-3*m - 3 + 3 + (-4*m - 4*m + 7*m)*(3 - 2 + 0) - 4*m - m + 3*m)*(m**3 + 3*m**3 - 6*m**3).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 5*x + 6. Let h be (50\/15 - 2)*3. Give l(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 4. Let d = o - -5. Let r = -5 + d. What is the greatest common factor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -155, 1\/4, 114, -46?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-27)\/12)\/(-3)*4. Suppose -s + w*s = -12. Let r be ((-12)\/(-4))\/(s\/(-16600000)). What is r rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 - -0.01. Let x(j) = j - 13. Let q be x(11). Which is the nearest to h? (a) q (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10431 and 4636?\nAnswer: 41724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132.73 - 132.43. What is the nearest to z in -0.25, -5, -1?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3215 + 0.86669269056.\nAnswer: -3214.13330730944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -3 + (-4*(sqrt(275) + sqrt(275)*-4) - sqrt(275)*-2*3))**2 + 2)*4.\nAnswer: 720*sqrt(11) + 356412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k. Let o(v) = 2*v + 3. Let s(n) = 1. Suppose 3*u + u + 4 = 0. Let x(l) = u*o(l) + 3*s(l). Calculate y(x(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*p**4\/5 + 4191*p**3\/5 + 55986*p**2\/5 + 3988*p + 360 = 0.\nAnswer: -10, -2\/11, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127246 + -442754. What is h rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:25 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**4 - 2*m**4 + m**2 - m + 5*m**4 + m**4 - 1 in the form u*m**4 + k*m**3 + q + s*m + f*m**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 28. Let l be 1\/(11\/2) - d. Sort -5, -3\/4, l in descending order.\nAnswer: l, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -120, 0, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, 0.1, -2\/9, 2, -12, 11 in increasing order.\nAnswer: -12, -2\/9, 0.1, 2, 11, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, f: 1, v: 2, r: 2, d: 5, y: 1}. What is prob of sequence dfrv?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 28*r - 33*r = -20, -23 = -3*c - 4*r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25370, -106188, -242452, -434162, -681318, -983920, -1341968?\n\"Answer: -27723*q**2 + 2351*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from oommroomoddmoddodr?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.38? (a) 6 (b) 3\/4 (c) 2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1.6 (b) -4 (c) -116 (d) 247 (e) 2 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 j, and 1 p when four letters picked without replacement from ujdppjpjdpkjkd?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 23 = -k, -2*k + 2*t + 6 = -0*t. Suppose 0 = -4*j - 2*a - 4, k*a = -5*j + 3*a + 1. Put 4, 5, j in descending order.\nAnswer: 5, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 68280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, q: 6, m: 3, b: 2}. What is prob of sequence yqqm?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3037*w - 55 = -3026*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 y when three letters picked without replacement from {l: 1, o: 5, y: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 9 - 11 = 0. Let u = 2 + t. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 13. Let h(u) = -7866347*u. Give w(h(s)).\nAnswer: 61879415124409*s**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 5:16 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*c**4*y - 4*c**4 + 6*c**3 - 21*c**2*y - 31*c**2 + c*y + 21*c wrt c?\nAnswer: -144*c*y - 96*c + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + -50 + 7 + -6. Let o = 80 + w. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**4 - 3*m**4 - m**5)*(-9067 - 823 + 523 + 1669 - 7438).\nAnswer: 15136*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18772 + -18772. Sort 4\/9, i, -3\/5, -19 in ascending order.\nAnswer: -19, -3\/5, i, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314845195 to the power of 1\/3, to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 54456.\nAnswer: -1\/6807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/9*8\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 434612349.390003688 - 434612347. Let c = -2.39 + u. What is c rounded to 7 dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -4*k - k. Suppose -6*j + 19*j - 9893 = k. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-78)\/9)\/(4\/(-186)))\/1. Let c be (0 + -1)*(50 - 81). Calculate the greatest common divisor of c and q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*l - 16, 0*l - 2*l = -5*h + 20. Let d be 39\/((1 - 2)\/(h\/4)). Let f be 2*3\/(-2)*26\/d. Solve -f*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9794 - -15077?\nAnswer: 85b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/493765?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1294.043*-0.5\nAnswer: -647.0215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 75711508 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: Is 70601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 506*j**2 + 2594*j - 2. Determine t(-5).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 0*a**2 + 4*a**2)*(-5 - 1 + 4)*(-9 - 81*a + 3*a**2 + 39*a + 30*a).\nAnswer: -24*a**4 + 96*a**3 + 72*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2\/5 - 2576*r\/5 - 414736\/5.\nAnswer: -4*(r + 322)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25143991877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, 47, 165, 391, 761, 1311, 2077, 3095?\n\"Answer: 6*p**3 + 4*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.95 + -0.05. Let x(l) = -l**2 - 7*l + 9. Let s be x(-8). Let i be (7 - 11)\/(-13 - s). Which is the nearest to i? (a) 5 (b) z (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - f + 0*f**4 + 4*f**4 + 2 - 2*f**4 as n*f**3 + a*f**4 + w*f + s*f**2 + x and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4637925, 4637927, 4637929, 4637931?\nAnswer: 4637933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20423, -39873, -59323?\n\"Answer: -19450*v - 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19189.5 - -19190. Let i = -0.07 - 1.83. Sort 3\/2, x, 0.2, i in descending order.\nAnswer: 3\/2, x, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/88 - 2\/(-11). Let h = 16.1 + -0.1. Let z = h - 16.1. Does b = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-4*a - 4*a + 2*a) - 3*a + 12 - 12 + (-3 + 3 + a)*(-4 + 2 + 3).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4200, 5, 9, -5, 0, -1, -2 in ascending order.\nAnswer: -4200, -5, -2, -1, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 5*w + 22. Let f be t(-5). Which is the nearest to 2\/7? (a) -0.2 (b) f (c) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-1) + -4)*(50\/(-15))\/5. What is the second biggest value in -0.2, k, 1\/3, 42?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3 = 3*n, 0 = 2*d + 4*n - 2*n - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.31 + -12.11. Which is the nearest to -0.2? (a) x (b) 0.05 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 4:34 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*d**5 - 169*d**4 + 169*d**4 + (-4 + 3*d + 4)*(2*d**4 + 0*d**4 + 0*d**4).\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.75 + 1.1. Let u = 0.4 - b. Let t = u + -2.05. Which is smaller: 2\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/12)\/((-6)\/27). Solve -5*t - 13 = h, 4*h + 21 = -h - p*t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5749.4 - -953.4. Let h = 4795.99995993 + g. What is h rounded to 6 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*r**2 + 9*r**3 - 22*r**2 - 5*r**3 + 8*r**3 wrt r.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 - m**2 - 68*m - 68. Let k be x(-1). What is the closest to k in 0.3, 4, 123?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 4, 0.028, -1\/4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -3, 2, 0 in ascending order.\nAnswer: -3, 0, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 7*f**2 + 8*f - 14. Give u(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 2, a: 1}. What is prob of sequence ba?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -56.43, 4, 3?\nAnswer: -56.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2 - 3) + (23 - 25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*k = -38*k + 141 + 155 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 552 + -545. Let q be (5\/(-3))\/(262\/(-36) + p). Put -1\/6, 2\/11, q, -1 in descending order.\nAnswer: q, 2\/11, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/135 - (10\/6 - 1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3978484062?\nAnswer: 2, 3, 7, 19, 4985569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1112 or 149017\/134?\nAnswer: 149017\/134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - s**2 + 3*s - 2. Let o(k) = k**2 - 3*k - 10. Calculate the smallest common multiple of o(-4) and p(2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 60. Let g be q(-11). Let r = 126 - g. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/24 and (8\/(-9) - 0) + 0 + -1.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 5*o**2 + 2*o - 6. Suppose 19 = 4*k + 7. Suppose 2*g = k*g - 5. Let m be u(g). Let f(b) = -b**2 + 6*b - 6. Determine f(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*b + 157*b + 96 = 0 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p**2 - 3*p + 4. Let r be f(0). Let c(g) = -2*g**2 - 4*g - 3. Determine c(r).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3582717 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**4 + l**3\/3 + 12*l**2 - 2*l - 41. Find the second derivative of s(j) wrt j.\nAnswer: -24*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 160.16 + -156. Let u = k - 4. Let f = u + 0.4. What is f rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5538*f - 3*j = 5545*f - 118, -4*f = -4*j - 96 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24.4 (b) -0.05 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -113041?\nAnswer: -113031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 3. Suppose 0*s + y*s - 84 = 0. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 14*k**2 - 6*k - 7. Suppose 4*u = 2*a + 5*u - 1, -4*u + 11 = a. Let n be l(a). Solve -5*z = s + 9, 2*s + s - 5*z - n = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 930*-14628.\nAnswer: -13604040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*i + 2*i - 3*i)*(4 + 1 + 0) + (3 - 3 - i)*(0 - 2 + 3) - i - i + i)*(-3*i - 2*i + 3*i) in the form a*i**2 + v*i + l and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 2, -1, -3 in descending order.\nAnswer: 21, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*p + 6*p - 2*p)*(5*p - 3*p - p) + (4 - 1 - 1)*(-6*p**2 + 119*p - 119*p))*(7*p**2 - 4*p**2 + 2*p**2)*(2 + 6*p - 2).\nAnswer: -330*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4\/5 - 839*s**3\/5 - 16337*s**2\/5 + 7039*s - 18018\/5 = 0. What is s?\nAnswer: -819, -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 44 = -2*y, -28*a + 26*a = 3*y - 22 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**3\/3 - 3*c**2 + 5*c - 1. Let h be d(5). Solve -3*t - 2*s + s - 10 = h, -3*t + 2*s = 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-70 - (-1 + 2)). Suppose -41 = -5*j - 5*u + 74, -3*j - u = -w. What is the remainder when j is divided by 1 + 2\/(-2) - -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 12 = 2*z. Suppose d + z*b = -6, 0*d - 5*b = 5*d. Suppose 0 = d*n + n + 4*p + 20, 2*n - 15 = 3*p. Solve -2*y + 10 = 0, -13 = -v - n*v - 2*y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 + (-10 + 37 + -35 - 8).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.028 - -0.692. Round m to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4583.915 millennia in decades?\nAnswer: 458391.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 8:11 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -899, -2145, -3751, -5717, -8043, -10729, -13775?\n\"Answer: -180*k**2 - 706*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -13.1. Let k = u - 4. Let f be -2 - 8\/(-20) - -2. What is the biggest value in f, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85482 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + 65 + -75 - (-8 - 1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/190*(3 + (-102)\/18))\/((-35)\/(-105)).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -11199\nAnswer: -33597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 585\/26 + (1 - 6\/4). Suppose t = -4*t + 20. Suppose -t*p = 2*o - f, 0*o - 19 = -o - 4*p. Let m(a) = -2*a**2 + 2*a + 4. Determine m(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009572 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 3\/2*v**2 - 19\/3*v**3 - 155*v + 1\/30*v**6 + 49\/20*v**5 + 0*v**4 + 0. What is the second derivative of y(f) wrt f?\nAnswer: 12*f**2 + 294*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -43*h**7\/42 - 49*h**3 + 2*h + 158. What is the second derivative of j(r) wrt r?\nAnswer: -860*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*l - 45*l = -168. Calculate the greatest common divisor of l and 952.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7831, -8230, -8885, -9790, -10939, -12326, -13945?\n\"Answer: i**3 - 134*i**2 - 4*i - 7694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -k + 37. Let a be (-26)\/(-6) - 4\/(-6). Suppose 28 = -3*f + a*f. What is the remainder when k is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 2)*(-1066 - 1115 - 172)*(7*i**4 + i**4 - 6*i**4) to the form o*i**2 + z*i**4 + m*i**3 + u*i + p and give z.\nAnswer: -4706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*x = 2*o - 5*o - 227*x - 46, 5*o + 88 = -4*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1999334 > -1999331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 6. Let h(a) = -a - 1. Let k(c) = 2*h(c) - y(c). Calculate k(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-8))\/((-2)\/16). Suppose s = 1 + f. Suppose -s*u + 5 = -2*n, -9 = n - 3*u - 2. Solve -n*j + 2*l = j - 18, 7 = 4*j + 3*l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 43, 179, 403, 715, 1115?\n\"Answer: 44*m**2 + 4*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 = z - 6, -3*z - 4*v - 4 = 0. Suppose 0 = -z*j - 0*j + 1092. Suppose 0 = -h - 5*y + 64, 0 = -4*h - 3*y + j - 34. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -303128?\nAnswer: 1\/75782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1782 - 1780. Solve 2*g - 4*o = -2*g - 4, 4 = c*g - 4*o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/126 and 32\/(-272) - 6438\/(-1836)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/10800 and -53\/3042000?\nAnswer: 9126000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x**2 + 4. Give p(2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 39 + -47 + 3\/(12\/56). Let b(i) = 9*i**3 - 5*i + 4. Let c(j) = j**3 - j + 1. Give r*c(m) - b(m).\nAnswer: -3*m**3 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/139? (a) 1 (b) 0.2 (c) -2\/19 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164 by -14.\nAnswer: 82\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h - 194. Let i be x(-28). Let s be ((i\/4)\/9)\/3*1. Which is the closest to s? (a) -4\/3 (b) -1 (c) -2\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 1257916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 170838391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -47*y**2 - 219*y - 190. Determine a(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 700\/42 + (-18)\/27. Solve -12*y + l = -4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -319 * 10.7\nAnswer: -3413.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.59 + 2763580?\nAnswer: 2763548.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29947, 19085, 8223?\nAnswer: -2639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73862 - -33364. Let z = c + 774. Suppose q - 2*q + z = 0. Round q to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-10) - (-35)\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*k - 14, 0 = -s + 2*k - 0*k + 10. What is the third derivative of 13*b**6 + 6*b**6 - 5*b**s - 3*b**6 - 16*b**2 wrt b?\nAnswer: 1320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 not equal to 286.51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 312 divided by 4\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 51532 (base 9) to base 13\nAnswer: 125cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043821 times 0.6?\nAnswer: -0.0262926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away 13408?\nAnswer: -13402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 882, 515, -1 in descending order.\nAnswer: 882, 515, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4492*f**2 - 21107*f**2 - 3016*f**2 to x*f + a*f**2 + g and give a.\nAnswer: -28615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from {i: 1, n: 3, a: 8, k: 3, t: 3, c: 1}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (7 + 8 + -12 - 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -11*i**8\/28 + 5*i**4\/4 + 14*i. Find the third derivative of d(y) wrt y.\nAnswer: -2640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/2 + -5*34\/(-20).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45154456.\nAnswer: 2, 157, 35951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 0*w**2 + 0*w**5 - 2*w + 0*w**4 - 1\/2*w**3 - 1\/6*w**6 + 0. Find the second derivative of d(k) wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412.292g to nanograms.\nAnswer: 412292000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 416, 832, 1248, 1664?\n\"Answer: 416*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqqjxjjxxjjxoxhxcj. Give prob of sequence oxc.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12400 = 111*n + 107*n + 2119 - 9557 for n.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 2*z = -38, 4*z - 36 = 2*w + 8*z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.02 and -57.9199.\nAnswer: -57.8999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 206?\nAnswer: 205.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**2 + 18892*b - 169704 = 0. What is b?\nAnswer: 9, 4714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**(-3)\/o*o)*o*o)\/o**2*(o\/(((o**(-1\/5)\/o)\/o)\/o))\/o**(-2\/21))\/((o**1)**45*o**(-1\/5)*o*o**(-2)) assuming o is positive.\nAnswer: o**(-3623\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.0120719 - -3.15\nAnswer: 3.1620719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -1331, -9, -1.3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 7:36 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -705 (base 15) to base 16\nAnswer: -62c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001 - -10?\nAnswer: 110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i + 5*i + 3262*i**3 + 3004*i**3 - 2*i + 2*i - 6350*i**3.\nAnswer: -84*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -2*k + 5*k + 4*v, 0 = 5*k - 8*v - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q**3 + 2*q**2 + 12*q. Let p(d) = -19*d**3 - 2*d**2 - 24*d - 1. Let s(u) = -4*p(u) - 7*w(u). Calculate s(-8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 5*v - 60 = 0. Let l(a) = -a**2 - 15*a - 16. What is the tens digit of l(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v\/(v\/(v*v**(-1\/8)))))\/(v\/(v\/v**(-3\/4))))\/(v*v*v\/((v\/v**(2\/3))\/v))**36)**(-16))**6 assuming v is positive.\nAnswer: v**12588","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2667696.\nAnswer: 2, 3, 149, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -12. Let v = t - -4. What is the third derivative of v*q + 2*q**2 + q**4 - 2*q wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2.4. Let s = -1 + r. Let t = 19\/117 - 5\/13. What is the smallest value in t, s, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 592.43 + -7.43. Let t = n + -584.7. Put 0, t, -7\/6, -3 in descending order.\nAnswer: t, 0, -7\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 23*w + 140. Let x be y(21). Suppose -3*u - 2*h = -x, -3*u + 595 = -2*h - 3*h. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 553*c**6 - c**3 - 1600*c**2 wrt c?\nAnswer: 66360*c**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 1\/6, 3, -5, -1, 4624?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -204495, -204495, -204497, -204501, -204507?\n\"Answer: -o**2 + 3*o - 204497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 9*m - 12. What is s(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33570 is divided by 1077.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3201 (base 4) to base 13.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - c - 38, 4*c = -5*x + 201 - 11. Suppose -2*u - u - 12 = 0, -o + 4*u = -x. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y. Let k be h(3). Let p be k\/4*102\/(-1). Is 7 a factor of p\/(-21) + (-4)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*s - 3*h, -2 = -s - h - 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnuj when four letters picked without replacement from mdpmnju?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13345, 26046, 38107, 49528, 60309, 70450, 79951?\n\"Answer: -320*i**2 + 13661*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 391 - -84?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 979549842*b - 79959824413518747.\nAnswer: -3*(b - 163258307)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1713667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 10 = 3*d. Let z = d - 0. Solve -c = -z*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6642.181ml?\nAnswer: 6.642181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 10) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 508285 and 422135.\nAnswer: 8615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 792 - -3949. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 times -69611?\nAnswer: 10928927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + y - 1. Let k(w) be the third derivative of w**5\/10 + w**4\/12 - 2*w**3\/3 - 2*w**2 - 19*w. What is -5*j(b) + k(b)?\nAnswer: b**2 - 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 18 = -4*q, 4*q - 18 = -4*h + 2*q. Solve -4*j + 7 - h = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -352614*l*q + 510409*l wrt q?\nAnswer: -352614*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueqquuquupgq. Give prob of picking 1 g and 1 u.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -40. Let x = k + 73. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-1 - (-3 - -4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s - 153 = 0. Let x = -207 + 299. Suppose 0 = 4*t + 24 - x. Calculate the highest common divisor of t and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 99*y**2 + 3*y + 3. Calculate the remainder when z(-1) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2 - 39218296*d - 192259342642952 = 0 for d.\nAnswer: -9804574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (159\/(-2) + 2)*20\/(-1). Suppose 2*w + 211 = v - 303, -4*w - p = -3*v. What are the prime factors of v?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8*p. Let f(c) = -1. Let y(v) = 15*v + 9. Let l(r) = 9*f(r) + y(r). Let s(t) = -3*l(t) + 5*w(t). Let b(h) = -h**2. What is b(s(n))?\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8 + 6)\/((-1)\/172)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250, 258, 266, 274, 282, 290?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 394 and 20.\nAnswer: 3940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*q**5 - q**5 + 4*q**5 + (0 - q + 0)*(q**3 + 2*q**4 - q**3) + (q**4 - q**4 + 2*q**4)*(-1 - q + 1) + 5*q**5 - 5*q**5 - q**5 + 3*q**3 - 3*q**3 - 2*q**5.\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqq. What is prob of picking 1 i and 1 q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*(r\/(r\/(((r**(-6)\/r)\/r)\/r)*r*r))\/r)*r**(15\/8))\/(r\/r**18*r*r**(-13\/2)) assuming r is positive.\nAnswer: r**(291\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26922*c**4 + c**2 - 120*c - 120 wrt c.\nAnswer: 323064*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 728\/(-2184)*(-9)\/(-8)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 35. Which is the nearest to 1\/2? (a) -0.2 (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.79 + -60.24. Round a to the nearest integer.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26306412 and 4079604?\nAnswer: 762885948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/(-4))\/((-8)\/176)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*3\/(-15))\/((-9)\/36)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*s + 2947 = 295 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = a + 19, 0 = 449*a - 451*a + 3*k - 31 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqkq when four letters picked without replacement from qqqokqqooook.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 1.1. Let q be (-5)\/(-15) + (-8)\/(-3). Let v = q + -3. Which is the third smallest value? (a) x (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3739 = -883. Suppose -t = -11*r + 4*r. List the prime factors of r.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, f: 4}. Give prob of picking 1 q and 3 f.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13259 is divided by 2648.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 164 + (-5 + 1)\/1. Let u = 1225 + p. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 804512 is divided by 929.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127332*w**4 + 142282*w wrt w.\nAnswer: -1527984*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggnrgngrgg. Give prob of picking 2 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, y: 2, j: 4}. Give prob of sequence pj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 44.999999842. What is r rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*q**4 + (-q - q + 4*q)*(-14 - 38 - 19)*(-q - 2*q**3 + q) + (3*q**2 + q**2 - 3*q**2)*(0*q**2 - 2*q**2 + 4*q**2).\nAnswer: 284*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.0379.\nAnswer: -0.1137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -892 - -907 - (18 - (12 - 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 0, -2\/11, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**8\/336 - 2*a**7\/105 + a**6\/30 - 5*a**2 - 3*a. Factor y(k).\nAnswer: k**3*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 65 = 3*d + 17 - 34, -3*u - 4*d = -27 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56735*d**5 + 6*d**4 - 10*d**3 - 97243554*d**2.\nAnswer: 3404100*d**2 + 144*d - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/11 - -379971*(-11)\/(-121)?\nAnswer: 34543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26967 divided by 89.\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*j = -84*j + 4551184 + 6888076. What is j rounded to the nearest 10000?\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 1.2. Let g = -2 - 16. Let d be -3*2\/g*1. What is the smallest value in d, 2\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 + -81. Let n = w - -257. What are the prime factors of n?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42830736 and 2496?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-1 - (-4 - 1)) - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/54*9\/(-30)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 186*t - 5 + 189*t - 378*t + 210*t**2. What is the tens digit of a(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeggggggeggggg. Give prob of sequence eg.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 - 43.6. Let s = q - -2.6. Let g = s - 13.8. What is g rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/9 (b) -2\/3 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*l - 8*l. Suppose 6 = 3*j - j. Suppose 1 = -3*n - 5*i, -5*n + j*n + 2*i = 6. Put 3, n, l in descending order.\nAnswer: 3, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -189, 5.2, 0.052, -0.1 in decreasing order.\nAnswer: 5.2, 0.052, -0.1, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/4))\/m*((m**(-2)*m)\/m)\/m*m)\/(m**4*m**(-6)) assuming m is positive.\nAnswer: m**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-6) + -4)*-2\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2773, 2\/7, -2?\nAnswer: 0.2773","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.08 (c) -0.02 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 2244*z.\nAnswer: -z*(z + 2244)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -54 + 5*g + 4 + 48. Let l(t) = t. Calculate r(l(c)).\nAnswer: 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/((-4)\/252*3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - 8)\/(2\/(-174)). Let q be h\/(-5) - (-9)\/15. What is the tens digit of (q - 3) + 1*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 10 - 16)*(0 - 67 + 11)*(3*z - z + z).\nAnswer: 5040*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -207309 divided by 10911?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ititpttatii.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 30 - 35, -4*m - 5 = -5*a. Sort 1, a, -3, -34.\nAnswer: -34, -3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37\/35 - -573\/140. Find the common denominator of g and -29\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*w - 428136, -129*y + 5*w + 428176 = -125*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215232263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + -23.9. Let j = -19 - c. Sort 0.2, -2, j in decreasing order.\nAnswer: j, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 51*z = 53*z - 27, 0 = -3*l + 2*z + 27 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1*482013\nAnswer: 482013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 44) + (-3 - 16 - -3 - -27)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 201 - 57. Let s = 888 - x. Suppose -4*d + 4*j + s = -j, 20 = 5*j. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 5*k + 4. Let q be h(-2). Suppose -b = -4*m + 92 - 24, -5*m = 3*b - 68. Solve 3*j = 2*v + 7 + 1, 5*j - q*v = m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -238.4 - -242.4. What is the second smallest value in 1, 5, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6627140 - -36639126.\nAnswer: 43266266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n + 5*n**2 - n**3 + 1 + 4*n - 2*n - 2*n. Let h = -2 + 3. Suppose 5 = g + h. Calculate q(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w. Let b = -106 - -64. Let j = -42 - b. Let g(i) = j*i**2 + 15*i**2 + i**2. Give g(n(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1509, -12037, -40615, -96267, -188017, -324889, -515907, -770095?\nAnswer: -1096477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -12. Suppose 109465 = 5*d - 5*l - 105560, -2*d = t*l - 85990. Round d to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6573\/8 or 165.11?\nAnswer: -6573\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 289*g**3 - 643*g**3 + 1231*g**3 + 2443*g**3.\nAnswer: 2742*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4*sqrt(110)\/sqrt(5))\/(-5*sqrt(55)\/sqrt(5)).\nAnswer: -1 + 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 - 29016*j + 638231\/2.\nAnswer: (j - 58021)*(j - 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.186 + -12.03. Let x = 56.726 - j. Let b = x - 58. Round b to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-32)\/8*1288\/448.\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3085949825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 divided by -7990?\nAnswer: -73\/3995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 - -0.8. Let b = -17 - -13. What is the biggest value in b, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**5\/210 + r**4\/12 + 2*r**3\/7 - r**2\/2 - 23*r + 9. Let x(k) be the second derivative of g(k). Let x(d) = 0. Calculate d.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 17*s = -14*s - 24, 0 = -3*f - 4*s + 31 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 9*a**2 + 469*a - 25. Let c(q) = -3*q**2 - 156*q + 9. Give 11*c(p) + 4*o(p).\nAnswer: 3*p**2 + 160*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.7293 rounded to 1 dp?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -5 + 15 - 23.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 f, and 1 e when three letters picked without replacement from {q: 7, e: 1, n: 5, f: 3}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (-824)\/(-56) + -40?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250125 (base 7) in base 6?\nAnswer: -551303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 30, 70, 126, 198, 286?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83116741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 193581 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 1. Let h(j) = j + 3. Let u(b) = -h(b) + 2*p(b). Let n = 13 + -4. Let k = 13 - n. Give u(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11200 - -66845\/6. Let s = q + 59. Sort s, 0.5, -0.16.\nAnswer: s, -0.16, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73 and 584.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 3*q**2 - 1. Let n = -23 + -4. Let d = 26 + n. What is y(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3796 divided by -73?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*w + 11*w = 23*w + 336 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 - 27. Let z = -2 + l. Let a(w) = w**3 - 10*w**2 + 12*w - 13. What is the smallest common multiple of z and a(9)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -15, 21, 4 in decreasing order.\nAnswer: 21, 4, 0.4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by ((-1)\/(-2))\/(3 + 963\/(-324)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -14*o + 2. Let p(b) = 0 + 8*b - 1 + 5*b - b - 5*b. Give -3*n(x) - 5*p(x).\nAnswer: 7*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -14. Let i(c) = -23*c + 2. Calculate the remainder when i(-1) is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*f**3*i + 7*f**2 - 7*f*i**3 + 1298*i**3 wrt f?\nAnswer: 27*f**2*i + 14*f - 7*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -193 + 194.55. Let f = i + -1.75. Let w be -3 - 0*(-1 - -2). Put f, w, -2\/17 in increasing order.\nAnswer: w, f, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386370 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1208 and (-60686)\/(-57380) - 5*(-1)\/(-5).\nAnswer: 6040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 2*f**2 - f - 1. Let l(s) = 49*s**3 - 4*s**2 - 3*s - 782. Let y(a) = 3*d(a) - l(a). What is the derivative of y(t) wrt t?\nAnswer: -138*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkekkek. Give prob of picking 1 e and 1 k.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11739 divided by -2572.\nAnswer: 11739\/2572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 39235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) + 3\/(-4). Let v = -54 - -53. Let q be v\/2*(-42)\/7. Which is greater: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 7. Suppose g - a = -2*g. Suppose r - 3*y + 8 + 2 = 0, -g*r + y + 5 = 0. Solve r*m + 10 = 3*v, -3*v + v - 30 = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 + -5.09. Let o = -23.9 + 24. Let p = -0.2 + o. Which is the nearest to p? (a) j (b) -0.3 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 11:11 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202002101 (base 3) in base 4?\nAnswer: -20120113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -834, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ddqdqdqqqdqd?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 26*m - 26. Let a(o) = 6*o - 78. Let i be a(14). Let n be b(i). Calculate the highest common factor of 52 and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/(sqrt(36)\/sqrt(3)) - (-2*sqrt(130) + sqrt(130))\/sqrt(10)) + -3 + 0 + sqrt(637) + sqrt(637))**2.\nAnswer: -96*sqrt(13) + 3337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 15326242 = 7*m + 489313. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/20*(-10)\/(-9)*3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -989\/885 or -0.1?\nAnswer: -989\/885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 73, 81, 87, 91, 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/7)*(k*k**4\/k)\/k)\/((k**2\/k)\/((k\/(k*k\/(k**(1\/4)*k)*k)*k)\/k))*(k*k**(1\/3))**(1\/12)\/(k*k**(1\/2)\/k*k)**46 assuming k is positive.\nAnswer: k**(-17153\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2151, 2728, 3303, 3876?\nAnswer: 4447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -192 + 143. Let q = -46 - h. Solve 11 = -q*a - 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - k + 55. Let d = 1 + k. Suppose -w + d = w. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2934 - 19*t**2 + 26*t**2 + 20*t**2 - 57*t**2 - 2934 + 26*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -159 + 230. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8015?\nAnswer: 5, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.223905 meters to kilometers.\nAnswer: 0.000223905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(1\/6)))\/f)\/(f*f**(1\/3)*f*f*f))**(-37)*((f*f*f*f\/f**(-2\/7)*f)**(-2\/69))**(2\/35) assuming f is positive.\nAnswer: f**(6880039\/33810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53\/2 + 27. Let z = 7.12 - 0.12. Let b = z - 9. What is the smallest value in p, -0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-4)*(-3)\/((-48)\/(-73))*-4?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4795588, -12 in descending order.\nAnswer: -4, -12, -4795588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + (sqrt(104)\/sqrt(2)*3 - sqrt(52)) + 4 - (5 + 4*sqrt(208)\/sqrt(4)).\nAnswer: -2*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 49*x = -206 - 294 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**7\/14 + d**6 - 2*d - 332. Factor c(y).\nAnswer: 3*y**4*(y + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -24541293, 6, -4 in increasing order.\nAnswer: -24541293, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 4:28 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and (-4 + 215\/20)\/(3\/8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 1454230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -2\/329 (b) 0.4 (c) -1\/3 (d) 2 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 6*r + 5*r)*(-937 + 3059 + 3472 + 2469).\nAnswer: -16126*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -104\/73, 3 in descending order.\nAnswer: 3, 1\/3, -104\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 10*o + 3. Let k(b) = -1. Let t(m) = -2*k(m) - u(m). Let j(p) = -2*p. What is t(j(z))?\nAnswer: 20*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 33*r**2 + 61*r + 57. Let s be d(-31). Calculate the greatest common divisor of s and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*r**2 + 19*r**2 + 2*r**3 - 2*r - 7 + 0*r - 27*r**2 in the form w + u*r**2 + g*r**3 + z*r and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**2 + 590*u - 1200 = 0. What is u?\nAnswer: -120, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000700206423 rounded to 7 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 127, 9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 5, -0.4.\nAnswer: -0.4, -2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/8974 and -89\/6?\nAnswer: 26922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5433, 887, -11459, -35505, -75151, -134297, -216843?\n\"Answer: -650*z**3 + 4*z + 6079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 220662\/92690*10\/6 - (-3 + 1)*-2?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*k - 2 = 0, 3*i + 1 - 7 = 4*k. Let -12 - 4 - o**2 + 5*o**i + 12*o + 0*o**2 = 0. Calculate o.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -34872*h**2\/5 - 139498*h\/5 - 8 = 0.\nAnswer: -4, -5\/17436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6606)\/12)\/(6\/24000*-3). What is x rounded to the nearest ten thousand?\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 38c5743 + 19?\nAnswer: 38c575c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*g - 8 = 0, -g = -r + 4*r - 17. Solve -2*b - r = -c + b, 8 = c - 4*b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711134 is divided by 969.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2917?\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1380311 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*r + 11. Find the second derivative of -3*f**2 + r - 16 - 3*f wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-11)*q**(-9)\/q*q*q**(3\/13)\/q**3 assuming q is positive.\nAnswer: q**(-296\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -3*y**5\/5 + 29*y**4\/4 + 166*y**3\/3 + 110*y**2 + 56*y - 250. Factor p(s).\nAnswer: -(s - 14)*(s + 2)**2*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222589033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42386702471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + f + 1. Suppose 5*i + 22 = -y, 2*i + 12 = -5*y - 6. Give m(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8834703 and 70677624.\nAnswer: 70677624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/33983 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 + 5 + -1 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w + 10 - 9*w - 14 - 46*w + 8*w.\nAnswer: -64*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 552944?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -6*i + i. Let r be -4 + (-19)\/i + (-6)\/(-5). What is the closest to 3 in r, 3, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 9 - 59. Let n be (r\/8)\/(6\/(-24)). Suppose -n*c + 10*c + 25 = 0. What is the second smallest value in -4, 0, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(1 + (-14)\/24))\/((-26)\/390 - 0)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 8676?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 5*w + 705, -7*m - 4*w = -4*m - 424. What are the prime factors of m?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + -4 - (-2 - 0). Suppose 5*n = -2*r + 30, 2*r - u*n - n = 10. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 21 + 26)*(628 - 123*y - 628) to the form d*y + q and give d.\nAnswer: -5043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/6 + 245*d**2\/3 - 800*d.\nAnswer: -d*(d - 480)*(d - 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23542, -23627, -23722, -23833, -23966, -24127?\n\"Answer: -v**3 + v**2 - 81*v - 23461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/3 - 79*d**3\/3 + 1943*d**2\/3 - 1215*d + 594 = 0. What is d?\nAnswer: -99, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*g - 34*g - 168 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*s - 2923 - 2957 + 5880 + 63*s.\nAnswer: 35*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3855*f**3 + 4*f**2 - f + 20. Let r be m(-5). Round r to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28372.01 and -0.31?\nAnswer: 8795.3231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/48 and -26\/29.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720502847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -140*((-3)\/(-2))\/(705\/235)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 209 and -20669.\nAnswer: -4319821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 312*c**2 - 4*c - 4. Let z(t) = 122303*t**2 - 1570*t - 1570. What is -785*y(p) + 2*z(p)?\nAnswer: -314*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -i + 1, -5*i = 2*t - 108 + 49 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 345.718ml?\nAnswer: 0.345718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.084\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 k when three letters picked without replacement from {x: 7, z: 4, k: 5}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1555087340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7362, -14724, -22086?\n\"Answer: -7362*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(3\/2))**(-20\/7)*p*p**(5\/2)*p*p**6\/p)**16 assuming p is positive.\nAnswer: p**(264\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*u - 69504, 0 = -3*b + 2*u + 20866 + 31256. What is the thousands digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 22 (c) 5 (d) -175 (e) -0.06 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + s**2 + 3*s - 1. Let u be j(3). Let h(b) = -b**2 + 15*b - 8. Let x be h(6). Let f = x + u. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 8:52 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 25, 3*t + 0 = -4*v - 8. Solve -t*s - 4 = -0, 4*y - s = -19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 403 - -34?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 12*d - 28. Let q be g(-15). Suppose 7 = 6*v - q. What is the greatest common factor of 32 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 - 2*a**3 + 3*a**3)*(-3*a + 2*a - a) + a**4 + 2*a**2 - 2*a**2 + 30*a**3 + 2*a**4 - 30*a**3.\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58117443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 199955981 to the power of 1\/3, to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uszsssbbsbszsszszz. What is prob of picking 1 s and 3 z?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -15 - -2) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 14. Let i = j + -8.64. Let z = i - -0.04. Sort -2\/15, 4, z in decreasing order.\nAnswer: 4, z, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -9. Suppose 75*z = 66*z + 18. Let y(u) = -u**2 + 2. Let i(t) = -2*t**2 - t + 7. Calculate x*y(s) + z*i(s).\nAnswer: 3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4\/7 + 962648*q**3\/7 + 11552160*q**2\/7 + 46209152*q\/7 + 8801792.\nAnswer: -4*(q - 240674)*(q + 4)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 725 times 0.08?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -8\/21518567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -4, -0.0345, 9\/5, -49, 2, 0.3?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.7 - -134.7. Let q = 115 - u. Sort -2\/17, -2\/9, q, 1\/2 in descending order.\nAnswer: 1\/2, q, -2\/17, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 3*h - 172771*h**3 - 172344*h**3 + 347004*h**3.\nAnswer: 1889*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3733080 and 40950?\nAnswer: 391973400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 51*a - 48*a - 3*u, -5*a + 5*u = -u - 65 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -486 (base 16) to base 8.\nAnswer: -2206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 4:52 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10387 divided by -4?\nAnswer: 10387\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -735468 divided by 183867.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**5 - d - 1. Let c(n) = -21*n**5 - 38*n + 2. Let g(v) = -c(v) - 2*m(v). What is the second derivative of g(q) wrt q?\nAnswer: 380*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -12510*v**2 - 4*v. Let b(c) = 7*c. Determine j(b(p)).\nAnswer: -612990*p**2 - 28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d**2 - 4*d**2 - 19*d**2 to the form w*d + j + f*d**2 and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*o**3\/7 + 3350*o**2\/7 + 64284*o\/7 + 28314.\nAnswer: 2*(o + 33)**2*(24*o + 91)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 339965?\nAnswer: -339963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26554517?\nAnswer: 11, 29, 83243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, o: 3, w: 1}. Give prob of picking 3 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002877700617 to 6 decimal places.\nAnswer: -0.000288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.45 + 7.95. Let k = 50 + -50. What is the third smallest value in -17, z, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 25. Suppose -3*j + 3*f + 63 = -66, -z*f + 199 = 4*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806 is divided by 85?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 12 = 11*y. Let r(n) = n**2 - n + 9. Let b be r(0). Sort b, y, -5 in decreasing order.\nAnswer: b, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**3\/2 + 783*l**2 + 9477*l\/2 + 7128 = 0?\nAnswer: -3, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*k**4*m - 24489*k**2*m**2 + 470*m**2 - 681 with respect to k.\nAnswer: -76*k**3*m - 48978*k*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 471 - 416. Calculate the smallest common multiple of b and 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2751 + -2781. Let w = -17 - 12.5. Let s = g - w. Sort 3, 2, s.\nAnswer: s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22317 is divided by 607.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 14. Calculate the remainder when -8 + 31 + (-2)\/2 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -24.47.\nAnswer: -7.341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 3:14 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 90*h**3 - 19*h**2\/2 + 14*h. Is b(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 508, 1187, 1838, 2437, 2960, 3383, 3682?\nAnswer: 3833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - a + 10. Suppose -a*i + 5*g - 56 + 256 = 0, 5*g - 5 = 0. Suppose -3*k = 20 - i. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*f - 21 = -141, -5*f = 0. Let x be 4 - (-7)\/((-35)\/q). Suppose x + 2 = 2*n. Solve 2*z - 4 = -n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 12*o**2 - o - 9. Determine d(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 264*d + 480*d - 239*d + 4 = -i + 3*i, 0 = 5*i - 2*d + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-757\nAnswer: -378.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 728 and -2.1?\nAnswer: 730.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -27. Let o(w) = -w**2 - 11*w - 2. What is o(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h + 0*h - 3*h)*(h + 4 + 0 + 2).\nAnswer: 2*h**2 + 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuaauuq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 531492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 30 = 5*y, 5 + 2 = -2*y - 3*z. Suppose 2*j + 1 = -t + 9, y*t - 4*j = -4. Factor -2*u**2 + 6*u - u**2 - u**2 + 7*u**t.\nAnswer: 3*u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8817, 2967, 22609, 50109, 85467, 128683?\nAnswer: 179757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= 162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-312)\/416 + (-7)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 58. What is the greatest common divisor of m and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16\/7 - 57\/28. Let c be 1\/(2 - (-18)\/(-14)). Let s = -19\/10 + c. Is d at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/5*y**2 + 18\/5 + 3*y = 0. What is y?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**2 + 5*o**2)*(-5*o**2 + 2*o**2 + o**2) + (2*o - 2*o + 2*o)*(-3*o**3 - 3*o**3 + 0*o**3).\nAnswer: -22*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*c - 204 = -2*i, -3*i = -4*c - 308. Suppose 74 = t + 3*a, 0 = 2*t - 43*a + 38*a - 126. Let l = i - t. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 39*z - 10*z = 8*z - 1064 for z.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 1)*(7 - 6 + 1)*(7*j - 11*j - 13*j).\nAnswer: 102*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-12)\/3 - (-232)\/(-87)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/29872 and -73\/144.\nAnswer: 268848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.155 * -81871.\nAnswer: -94561.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -19*q**3 - 2*q - 1. Let n be a(-1). Let y(f) = -f**2 - 6*f + 65. Let p be y(-11). What is the highest common factor of n and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - 0. Calculate the common denominator of 18\/s*(-1 - -10) and -41\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 16 + 1 = 0. Solve f + i = -0*f + 3*y, 9 = -3*f - y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5056*j. Let h(x) = -x. Calculate u(h(s)).\nAnswer: 5056*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -112, -348, -760, -1360, -2160?\n\"Answer: -2*j**3 - 76*j**2 + 6*j - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-6)*1\/((-2)\/6). Solve h*q - 4 = -3*p, 3*q + 2*q + 5*p = 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -80 and -0.13905.\nAnswer: 11.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 172466 - 96227. Suppose 208761 = -3*t - d. Round t to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 5*o + 35, -2*i + 2*o + 26 = -0*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 17 = 5*w - 10*w, 4*w + 20 = 0. Let d be 117\/7 - f\/7. Solve 5*i - v = -15, -i - 12 = 5*v + d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/(-20))\/((-2)\/(-5)). Let h(v) = 12 + 0*v + d*v - 12. Let t(a) = a - 5*a**2 - a. Determine t(h(k)).\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - q - 2. Let w be -2*(-2 - -1)*1. Let v be c(w). Let d(y) = -y**2 - 7*y + 8. Let j be d(v). Solve -5*o + 3 - 8 = j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -2\/3*c**3 - 5\/12*c**4 + 10*c - 1\/10*c**5 - 5*c**2 + 0. Let p(z) be the first derivative of h(z). Solve p(a) = 0 for a.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 83264 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e + 16c2?\nAnswer: 16a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 124564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 272369, -5, -6 in increasing order.\nAnswer: -6, -5, 272369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -52*u - 2156. Let j be r(-42). Solve -50 = 13*o + j for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 20.2638ug?\nAnswer: 0.0000000202638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 13. Let n be a\/12*(-8)\/60. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148 and 1212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -169 + 2865\/17. Is q at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 62*a - 763. Give z(13).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 39 + 45 - 84 + 16*f**2. Let g(q) = q. What is g(v(r))?\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b - 6. Give w(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153*r**3*u**4 - 686*r**3*u**2 + 2*r**3*u + 5*r**3 + 5*r**2*u**3 + u**4 wrt u.\nAnswer: 3672*r**3*u + 30*r**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.933143 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694050738?\nAnswer: 2, 3, 17, 6804419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -774\/59 - -1725\/118. Which is the nearest to -0.2? (a) -2\/7565 (b) -0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(30)\/sqrt(250) + sqrt(3) - sqrt(3)) + (sqrt(363) + 1)**2)*-5.\nAnswer: -1835 - 111*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*z + 16, -z + 4*z = 2*x - 5. Suppose 2*f = -2*o + 12, -f + 10 = 3*o - x. Let i = o + -3. Which is smaller: -1\/2 or i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(18\/315*10\/(-16)). Let n = i - 60. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 17*m**2 + 443*m + 92. Give j(-31).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 427140?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62820035?\nAnswer: 5, 12564007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 319573409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11627073149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 564*u**2 - 3 + 3 - 357*u**2 + 3*u**2 + u**2 - 2*u**2 + (0 + 1 + 0)*(3*u**2 + 2*u**2 - 3*u**2) - u**2 - u + u - 4*u**2 + 2*u**2 + 0*u**2.\nAnswer: 208*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*t - t = -33, -o + 3 = -5*t. Find the first derivative of 174*x - o*x**2 - 174*x + 3 wrt x.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 7. Let b be 6\/(-24) - 18\/(-8). What is the remainder when r is divided by 14\/(b + (1 - 1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 + 1779*c**2 - 1779*c**2 - 5*c**3 + 1 + c in the form y*c**2 + m*c + g + p*c**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 7 + -114 + 105.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 - (6 + -2 - -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**5 - 120*d**4 + 995*d**3 - 2690*d**2 + 3060*d - 1240.\nAnswer: -5*(d - 2)**3*(d - 1)*(d + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4508679, 4508750, 4508877, 4509066, 4509323, 4509654, 4510065, 4510562?\n\"Answer: z**3 + 22*z**2 - 2*z + 4508658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-8)\/80*530\/4*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 218792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-376)\/(-141)*216\/32?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1450386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*s - 123*s - 80*s + 1.\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -46*w**3 + 2*w**2 - 13*w + 10. Let v(l) = -190*l**3 + 9*l**2 - 56*l + 40. Determine -2*v(k) + 9*y(k).\nAnswer: -34*k**3 - 5*k + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m - 47693 + 150316 + 410098 = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:50 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4005\/(-55) - 2 - 4\/22. Let r be (-110)\/n - ((-6)\/45)\/1. Factor -r*f + f**2 - 4\/5.\nAnswer: (f - 2)*(5*f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 1396*p + 73840.\nAnswer: 4*(p + 65)*(p + 284)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1614372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 4*y + 0*y**3 + 0*y**2 + 0 - 1\/6*y**4. Factor v(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536581266.\nAnswer: 2, 3, 13, 191, 36017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-6)*(-27)\/(-18)*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 0, -5*i = 2*b - 199 - 209. Suppose -210*m + 22782 = -b*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 1 - 1. Let v be ((-2)\/(-2))\/(o\/4). Find a, given that -4*a**2 - a**3 + 3*a**2 + 2*a**4 + a**5 - a**v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -116.\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (19\/(-3))\/((-3)\/(-27)). Let m = 99 + i. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76646.\nAnswer: 2, 19, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 249881648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 247062 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*z - 22, 3*q + 4*z - 20 = 2*z. Suppose q = -0*v + v. Calculate the smallest common multiple of 2 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from {x: 1, n: 5, f: 2, v: 2, s: 2, b: 8}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 90 = -w, -2*w + 3*w = -2*i + 168. What is i rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q - 6 = 0. Let v be (q + 4\/(-3))*6. Solve v*l + 4 + 0 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/6 + (-1340)\/15. Let a = -59 - i. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, d: 2, y: 4, w: 1, z: 3}. What is prob of picking 1 w and 1 y?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -32*m**2 + 8\/3*m**3 - 1\/12*m**4 + 11*m + 0. Let i(x) = 0. What is x?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d + 4. Let t be j(3). Suppose -3*g - g + 8 = 0. Suppose -4*y + 18 = -l + 5, -g*l = -5*y + 20. Solve -y*z - t = -0*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 8*j**2 + 1842*j - 16481. Let w be c(9). Suppose 3*d = 16 + 59. Solve 0 = 3*u - g + w - 5, 3*g - d = 5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2, -2*i - z - 18 = -7*i. Let d = 5 - i. Suppose 35 = 5*a + 3*k, -2*k + 0 = -3*a + 2. Solve -d = l + a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - 93282940.\nAnswer: -93282899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -518 times -2.9\nAnswer: 1502.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -23*o - 576. What is the lowest common multiple of 36 and l(-36)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -16145052?\nAnswer: 16145049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1496 - 229. Is 94 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67088777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*p**2 + 89*p**2 + 0 + 0.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-4) - 21\/(-28)) + 2. Solve 0*q**3 - 2\/9*q**4 - 2\/9 + 0*q + 4\/9*q**s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -471 + 694. What are the prime factors of x?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d + 18. Is g(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 1018 in increasing order.\nAnswer: 0, 5, 1018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-278)\/9)\/((-8)\/12). Let c = y - 46. Factor c*x**2 - 1\/3 - 1\/3*x**3 + 1\/3*x.\nAnswer: -(x - 1)**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50.9 + 23.64. Round t to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/5 + 4250872*w**3 - 11293695475240*w**2.\nAnswer: -2*w**2*(w - 5313590)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11*z + 6. Let s(b) = 11*b. Let y(g) = 10*g + 1. Let j(r) = 3*s(r) - 4*y(r). Let m be (3\/(-6))\/((-1)\/(-10)). Give m*q(a) - 8*j(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 131551401 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112103054 to the power of 1\/4, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -17 + 23 + -25\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18\/1*(-88)\/(-12) - 5 is divided by 46?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3251 != -3250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-14) + (279\/21)\/3. Suppose -v - 42 = -3*v + m, -90 = -x*v - m. Suppose -y = -12*y + v. Solve 2*z + y*t = 6 + 4, z = 4*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-3)*(-15)\/10)\/(-9).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/6 and -1 + (-87)\/(-22) + -2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-10))\/(10\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/4, -1, -0.3 in increasing order.\nAnswer: -1, -0.3, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, j: 1, w: 1, v: 2}. Give prob of sequence vywv.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.1 + 3. Let s = l + -1.9. What is the closest to -1 in s, 3, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90775 + -1543913\/17. Which is the smallest value? (a) 2 (b) -1\/3 (c) y (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127*f**3 + 511*f - 511*f)*((3 + 0 - 1)*(-2 + 2 - 2) + 0 - 5 + 0 + 0 + 2 - 1).\nAnswer: 1016*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 64*z - 9 = 66*z, -o + 2*z - 1 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 9:02 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 83, 89, 97, 107, 119, 133?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -48. Let f = -936738 - -936743.999983. Let n = f - x. What is n rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2\/(-3))*432\/4968?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730500?\nAnswer: 2, 3, 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*h + 102 = -103*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/4)\/(3\/12). What is the third derivative of 14*t**2 - 30*t**2 + 7*t**6 + w*t**2 wrt t?\nAnswer: 840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**4 - o**3 - o**2 - 2*o. Let g(r) = 3*r**4 - r**3 - r**2 - r. Let h(p) = 3*g(p) - 2*z(p). Factor h(k).\nAnswer: k*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**5\/9 + 4*v**4\/9 + 4*v**3\/3 - 4*v**2\/9 - 8*v\/9 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1379742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oggrggggg. What is prob of sequence ggg?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/391, -0.081, 26, -0.3 in descending order.\nAnswer: 26, 12\/391, -0.081, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2. Let m(x) = 17*x + 82. Let d(l) = -18*l - 85. Let i(y) = 5*d(y) + 6*m(y). What is j(i(f))?\nAnswer: -144*f**2 - 1608*f - 4489","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.05, 1, 1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z + 33. Let p be u(8). Suppose 0*i - i - p = 0. Is 20 a factor of 6\/(-8) + i\/(12\/(-1197))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 11*n**2 + 17*n + 21. Let z be c(9). What is the greatest common factor of z and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110568 divided by -338?\nAnswer: 55284\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (12 - 3) + (-3140)\/288 and -4\/33?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 56 = -3*z. Calculate the greatest common factor of z and 260.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 - 4*s**2 + s**2 + ((-3*s + s + s)*(3 + 0 - 1) + 1 - 1 + s)*(-3*s - 3*s + 4*s + (0 - 1 + 2)*(-2 - 2*s + 2)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 16, 0.24, 2\/21?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50873729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 - 2504*w - 4*w**2 + 4*w**2 + 2408*w to the form a*w + x*w**2 + p and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a minute in seconds?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101101122011 - -2?\nAnswer: 101101122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15022418*d**4 + 19430592*d**2 wrt d?\nAnswer: 360538032*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565982?\nAnswer: 2, 282991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 1.\nAnswer: (q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 - 0.09. Which is the nearest to -0.1? (a) -3\/5 (b) 3\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205428699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((2 - 0) + -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**48)**(1\/2)\/(((t\/(t**(-5\/2)*t*t))\/t)\/(t*t**(1\/2)))**(4\/15) assuming t is positive.\nAnswer: t**(-356\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17726*o + 17672*o + 2387 = 335 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*o - 145*o = -189*o - 2403 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*t - 10*t - 8*t + 4*t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 + 191*m**2 + 153*m + 5517. What is s(-95)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -255. Let l be 6\/21 - 519\/(-21). Suppose -l = p - a. Does 40 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81.911 - 435.95875. Let b = s + 354. Round b to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3161 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -7*o**6\/720 - 3*o**5\/40 - 5*o**4\/24 - 8*o**2. Let g(w) be the second derivative of i(w). Differentiate g(m) wrt m.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, i: 2}. Give prob of picking 3 u and 1 i.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence duka when four letters picked without replacement from aukdadaa.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999229631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-146)\/2555)\/(120\/(-14)). Let z(r) be the third derivative of -k*r**5 + 0*r - 1\/60*r**4 + 0*r**3 + 0 - 4*r**2. Factor z(i).\nAnswer: -2*i*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 13*f + 7.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 1\/2*m**2 + 1\/2*m.\nAnswer: -(m - 3)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14, -81, -4, 377, 9 in increasing order.\nAnswer: -81, -4, 0, 9, 14, 377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(228) + sqrt(228))*5)\/(sqrt(96)\/sqrt(128) + sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.5 + -1.5. Let w = -1.61 + -0.39. Is t at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -182 + 201*k**2 - 93*k**2 - k - 89*k**2 as r*k + i*k**2 + h and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100001100110101 + -101?\nAnswer: -110100001100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*y + 2*r + 7 = 94*y, -4*r = y + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -737, -731, -725, -719?\n\"Answer: 6*l - 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 0 - 1323 - (6 - 5). Let c = j - -1914. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*w**2 + 24*w - 37 + 4*w**3 - 78 - 3*w**2 - 3*w**2 wrt w.\nAnswer: 12*w**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7158*n**2 + 2 - 7122*n**2 + 53.\nAnswer: 36*n**2 + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 = -2. Is 6 a factor of 5 - (2 - d - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/7)*t)\/t*t*t\/t**(-11)*t*t assuming t is positive.\nAnswer: t**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - (17551 + -85)\/142.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + -3 + -4*sqrt(1331)*6)**2 + -2.\nAnswer: -2299997 - 4752*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 37*c**2 + 151*c - 4. Give t(-3).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(5\/4)\/m*m)\/(((m\/(m\/(m*m**(-6\/11))*m*m*m))\/m)\/m))\/(((m\/m**(-1)*m*m)\/m)\/(m\/m**10)) assuming m is positive.\nAnswer: m**(-229\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94.017 + 0.017. Let r = -96.15 - m. Let n = 0.25 + r. Are n and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2871190093 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -4) + 2*-1. Suppose 2*x + 4*q - 26 = s, -q - 1 - 3 = -x. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) - (-2)\/4. Let r(a) = -a**3 + a**2 + a - 4. Let t be r(k). Let f be 7 + t - (1 + -1). Solve 5*h = 23 - f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + u + 11 = 10, c + 4*u - 8 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/110 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 - 72*o**2 + 69*o + 60. Calculate the remainder when 81 is divided by v(35).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22525889.\nAnswer: 157, 143477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22385, 22044, 21703?\n\"Answer: -341*v + 22726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3199 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 97, -4, 0, -3, -2\/15?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 61*d**3 - 3*d**2 - 29*d + 27. Let t(g) = 28*g**3 - 2*g**2 - 14*g + 13. Let z(j) = 6*a(j) - 13*t(j). What is z(-4)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 360 + -42. Suppose -5*t - 175 = 2*f - 951, 0 = 2*t - 3*f - i. What is the highest common divisor of 24 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -129 not equal to -251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, p: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5821 or 5819?\nAnswer: 5821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-26) + (-2983)\/(-1729). Which is the second biggest value? (a) -5 (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -543 (base 8) to base 3\nAnswer: -111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42215225 (base 6) in base 8?\nAnswer: 4544341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6195 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 8, -639\/2, -0.003?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from {a: 8, h: 1, c: 1, y: 7}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -164 + 983\/6. Let l = -240 + 235. Sort l, d, 4\/21.\nAnswer: l, d, 4\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 584313 divided by -2\nAnswer: -584313\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1001, 4018, 9055, 16112, 25189, 36286, 49403?\n\"Answer: 1010*m**2 - 13*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -14, -3, -0.3, -12, 0.39 in increasing order.\nAnswer: -14, -12, -3, -0.3, 0, 0.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/5 - 4) + -32. Let l be (-1)\/((-4 + k\/(-9))\/1). Factor -4\/9*p**2 + 2\/9*p**l + 0 + 2\/9*p.\nAnswer: 2*p*(p - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 670\/43 or -3?\nAnswer: 670\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22\/(-8))\/(2\/(-8)). Suppose 4*b - k = 1. Solve 0*t - 2\/3*t**b + 2\/3*t**2 + 0 = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, c: 1, k: 1, o: 2}. What is prob of picking 1 c and 2 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 1:36 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - 12 - -1 - -10 - -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10862639 and 34267?\nAnswer: 10862639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2235336036 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: What is -1 take away 1863269.4?\nAnswer: -1863270.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1237*h - 734782. Determine s(594).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*c + 2*c - 2*c)*(-2*c + 0*c + c) + (-5*c - 4*c + 4*c)*(-2*c - 1 + 1) + 5*c**2 + 0*c**2 - 4*c**2)*(-c + 2*c - 3*c)*(-2*c**2 + 0*c**2 + c**2).\nAnswer: 26*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220111 (base 3) in base 12?\nAnswer: 97a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 506 - 500. What are the prime factors of q\/((-3 - 1152\/(-382))*1)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6)*(b\/((b\/b**(-1\/4)*b)\/b))\/b*(b\/b**0)**(-26) assuming b is positive.\nAnswer: b**(-133\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 8*y**2 + 18*y + 0*y + 4.\nAnswer: -8*y**2 + 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 9 + 41*x**2 - 7)*(-x**2 + x**2 - 2*x**2).\nAnswer: -82*x**4 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 - 4*g - 25. Let q be t(3). Which is smaller: q or 4\/19?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 11:26 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyry when four letters picked without replacement from {t: 13, r: 3, y: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1657*t - 1710 - 38058 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161 - 161 - 188097*d.\nAnswer: -188097*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118*z**3 - 131*z**2 wrt z?\nAnswer: 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40128150.\nAnswer: 2, 3, 5, 267521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -725, -707, -663, -581, -449, -255?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71750.79 grams to nanograms.\nAnswer: 71750790000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9125, -18239, -27355, -36473, -45593?\nAnswer: -54715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j - 18*j + 72*j**3 + 7*j.\nAnswer: 72*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 60.36821ml?\nAnswer: 0.06036821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31254, 31249, 31244, 31239, 31234?\n\"Answer: -5*y + 31259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -526374 and -547636174.\nAnswer: -548162548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - 34 - 1*78\/40.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31*2.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - v**2 + 2*v + 1. Let k(h) = 17*h**3 - 10*h**2 + 22*h - 13. Let p(i) = k(i) - 4*q(i). What is the hundreds digit of p(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 5:44 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84362403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**4\/12 + m + 19. Let y(o) = 80*o**2. Let i(k) = -176*r(k) - 2*y(k). Let u(s) = -s**2. Calculate i(u(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 14. Let r(x) = -x**3 + 7*x**2 + 3*x - 7. Determine r(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 920.\nAnswer: 919.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 11*s - 124. Let a be d(11). Let j be a\/(-6)*(-43 - -5). Which is bigger: -21 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34033, -34832, -35647, -36484, -37349?\n\"Answer: -b**3 - 2*b**2 - 786*b - 33244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 24*i + 3403. Calculate y(-142).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -17. Which is smaller: 0.2 or q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/q**(-4))**(3\/16) assuming q is positive.\nAnswer: q**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, 1, 0.76?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3904978, -7809954, -11714932, -15619912, -19524894?\n\"Answer: -l**2 - 3904973*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1111111100110000 (base 2) to base 16\nAnswer: ff30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2668 * -0.09.\nAnswer: -240.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(-238))\/(1\/(34\/(-85) - (-7)\/5))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 > -0.0291264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 60\/(-1 + 81\/75). Suppose 0 = -16*i - 9*i + g. Sort 1, 3, i in increasing order.\nAnswer: 1, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j - 6*j + 22*j - 5*j.\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 10*q**2 - 6*q - 20. Let y be n(9). Let f be 10\/8 - (-2)\/(-8). Solve -y = -4*i + 3*t + f, -3*t = -2*i - 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**5\/20 + u**3 + 3*u**2 + 9541*u. Let m = 1 - -5. Let x(a) = -21*a**3 + 119*a + 119. What is m*x(k) - 119*r(k)?\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 + 2 = 4*y, 5*h = y + 63. Suppose -3*x - 2*w - 9 = 4, 3*w = 3*x - h. Let d = x - 1. Which is the nearest to d? (a) 4 (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r. Let s = -54 - -53. Let j be -7 - -10 - (0\/s - 0). Let d(a) = -a + 3. Give j*m(u) - d(u).\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + w - 20 = -2, -5*l - 4*w = 13. Calculate the common denominator of (l - (-5165)\/600) + -5 and -67\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -5 + 5 - 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 6) + -88 + 111?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/s**(-3)*s*s)*s)\/s*s**0*s**(-4)\/((s*s*s*s**(-3\/7)*s)\/s) assuming s is positive.\nAnswer: s**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09892 + -0.1771. What is p rounded to three dps?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -640333*0.4.\nAnswer: -256133.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 566642434*v + 156739136 with respect to v.\nAnswer: 566642434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8715)\/(-378))\/83)\/(10\/(-6)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 470.935 from 17.1.\nAnswer: -453.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u**3 - 11*u**2 + 340*u + 3030. Let d(s) = -5*s**3 + 2*s**2 - s - 1. Let m(b) = 2*d(b) + n(b). What is the derivative of m(g) wrt g?\nAnswer: -6*g**2 - 14*g + 338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u = -k + 185, k + 195 = -5*u. Suppose -4*y + 0*y = 212. Let t = u - y. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5637 + -2019. Suppose 20*b - h = 7102. What are the prime factors of b?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 8, 17, 30, 47, 68, 93?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 + -1)*(-2)\/(-4). Find the common denominator of 628\/(-264) - (-1)\/h and (-101)\/(-14) + 2 + -3.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4632611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 363797461 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25912?\nAnswer: 2, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 6:37 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 - 36. Suppose -13 = -4*n + 4*v + 11, 3*v = -6. Suppose n*p - m = -6. Solve -f - 2*u = -p*f + 10, 5*f + 10 = -2*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwh when three letters picked without replacement from {l: 1, b: 1, w: 2, j: 1, h: 2, u: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2 + 0 - 6 + 2*w. Let b be p(3). Let d(r) = -4*r**2 + 0*r**b + 5*r**2. Let s(t) = -t. What is s(d(g))?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(125) + -2 + 4 - (sqrt(125) + sqrt(125) + -2)*5) + -5 + sqrt(125) + 1 + sqrt(125) + 2 + 4 + -4)**2.\nAnswer: -840*sqrt(5) + 6269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.2, 10, -4 in increasing order.\nAnswer: -8, -4, 0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30098179807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11060 - 10862. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001123 rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:56 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.319 + -1308.2.\nAnswer: -1309.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4529424*y**4 + 124885263*y**2 wrt y.\nAnswer: -108706176*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 55 = -t, 5*t + 69 = l + 58. Suppose 0 = -5*w + 4 + 51. Are l and w non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - z - 14. Let i(o) = -o**3 + 7*o**2 - 3*o - 5. Let t be i(7). Let v = t + 26. Determine g(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 392*y**3 + 3*y - 4*y - 571*y**3 to h*y + j*y**3 + f + m*y**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-6) - 3346\/84. Let r = -20 - t. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 216\/(-84)*301*-1. Let x = -403 + q. Suppose -h + 8*h = x. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2216, 8740, 19614, 34838, 54412?\n\"Answer: 2175*i**2 - i + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or -156?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) 0.4 (c) -10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -275477 + 2?\nAnswer: -275475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 169028*t - 9969171.\nAnswer: -(t + 59)*(t + 168969)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020661555 to 6 decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 4*t - 1500, 3*c = 5*c + 2*t + 1000. Round c to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1354*b**3 + 674*b**3 + 682*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 22*r + 15. Let f(s) = -21*s - 14. Let a(l) = -5*f(l) - 4*n(l). Let i be a(1). Which is smaller: 30 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 32. Let l(n) = n + 32. Let v(w) = -2*b(w) + 3*l(w). Let r be v(-10). Suppose r*z + 42 = 136. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w. Let d(y) = 2654*y**2 - 32971*y. Give d(a(s)).\nAnswer: 10616*s**2 + 65942*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b**4 + 668*b**3 + 3756*b**2 - 16000*b + 11264 = 0.\nAnswer: -16, 22\/23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 3. Let h be (0 + z - 1)*-28. Is h\/12*(-15)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.9 * -6990\nAnswer: 27261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -173, -182, -203, -242, -305, -398, -527?\n\"Answer: -u**3 - 2*u - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 4*i + 36, -11*i = -f + 234 - 99 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 1. Let n be h(1). Let a = 69 - 43. Let s = a + -24. Put n, 5, s in decreasing order.\nAnswer: 5, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6667306351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18940 divided by -1?\nAnswer: -18940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.14 + 128.24. Let h = 135 - p. What is h rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -835071 (base 10) in base 14?\nAnswer: -17a47d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.2 + -3.1156. Let h = j + -0.080756. What is h rounded to four decimal places?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -132 - -132.105. Let v = 0.011 - h. What is v rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 1275.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2405 - 2334. What is the remainder when 314 is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**2*u**2 - 7609*i**2 - 446*u**4 wrt u?\nAnswer: -4*i**2*u - 1784*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19144927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -52599 divided by 89\nAnswer: -591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -178.35104 times -2\nAnswer: 356.70208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-4*i**2 + 4*i**2 - 3*i**2).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(343) + 1 + ((sqrt(49)*1)\/sqrt(7))**2 - (-3 + (1*(sqrt(7) + sqrt(28)))**2)).\nAnswer: -53 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -303748*g - 4252483. Give r(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1540 and 504910.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, 123, 463, 947, 1581?\nAnswer: 2371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 1, n: 1, g: 1, j: 1}. What is prob of sequence dg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34234128 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((3 - -1) + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**6\/24 + b**5\/20 - 5*b**4\/8 + 5*b**3\/6 - 2*b**2 - 23*b. Find the second derivative of j(a) wrt a.\nAnswer: 30*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/13 + 12\/(-42)*7\/(-13). Let s(p) be the third derivative of 0 + 9\/40*p**5 + 0*p**3 + w*p + 0*p**4 - 1\/80*p**6 - 43*p**2. Factor s(y).\nAnswer: -3*y**2*(y - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((5 + sqrt(1331) + 0 + (sqrt(1331) - -1*sqrt(1331) - sqrt(1331)) + -1)**2 - (2 + sqrt(1331)*1 - (sqrt(1331)*-2)**2*-2))*5.\nAnswer: -26546 + 825*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/9 - 1\/9. Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-5) - (-102)\/10. Let q = t - 10. Let u(g) = q + 1 - 4. Let k(a) = -a + 1. Calculate -k(v) - u(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/4)\/y)**(-16) assuming y is positive.\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*h + 2*h + h - 22*h - 13 + 9*h wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70453 - 30036. What is the ten thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-112)*-49 + (-6 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*v - 2*v = -45, 0 = -y + 5*v + 30. Let d be -1 - (1 + y\/(-7)). Let a = -406.35 - -406.65. Sort d, -4, a, -5 in descending order.\nAnswer: a, d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.3326873 rounded to two dps?\nAnswer: -7.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = 2*i - 115. Suppose -8 = -i*t + 8*t. Which is bigger: t or -27\/10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -472*z + 2*z**3 - 2248*z**2 + 470*z + 0*z**3 + 534*z**2 - 928*z**2 - 4509 wrt z?\nAnswer: 12*z - 5284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9842 is divided by 6790?\nAnswer: 3052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) 23 (b) -261 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 3 (b) 0.5 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3345 + -0.0655. Put q, 2\/23, 2, 4, -2 in decreasing order.\nAnswer: 4, 2, 2\/23, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90 - -901\/10. Which is the third smallest value? (a) n (b) 6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5*z, -2*m + 5*m - 3*z = 0. Let a = -104 - -107. Sort m, -5, -2, a in increasing order.\nAnswer: -5, -2, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 1 = 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1 (c) 44282 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181.4 + 181. Which is the smallest value? (a) 4 (b) r (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -23*l + 1. Let t(g) = -162*g + 7. Let k(p) = 7*n(p) - t(p). Determine k(-16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 5*k + 2. Let p = 285 + -278. Suppose 3*s = -p + 1. What is q(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1981 - -31.2\nAnswer: -1949.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 736 - 735 - 227*i - 494*i - 115*i.\nAnswer: -836*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4222977128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -202 greater than or equal to 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b**2 + 9843*b + 1 + 39*b**2 - 9841*b)*(2 + 1 - 6).\nAnswer: -96*b**2 - 6*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11, -25, -41, -59, -79?\n\"Answer: -s**2 - 11*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15 - (0 + 3) - -3. Suppose 5 = -k*x + 10*x. Is x greater than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716 < 722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2216213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 467895557?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**5\/10 + l**2. Let o(a) be the second derivative of 5*a**3\/6 + 104*a. Determine o(x(h)).\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -485662*x - 1. Let t(b) = -63*b. Give q(t(y)).\nAnswer: 30596706*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 + 23c6d?\nAnswer: 23c4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**4 + p**3 - p**2 - 1. Let b(y) = -16*y**4 - 5*y**3 + 5*y**2 + 8. Let j(f) = -b(f) - 5*v(f). Differentiate j(k) with respect to k.\nAnswer: 44*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*1*(-3)\/36*3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2. Let s = 3 - 2.8. Let k = 1944420 + -1944425. Which is the fourth biggest value? (a) x (b) -2 (c) s (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 797, 2\/17, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/6)\/(6275\/(-450) + 14). Solve 0 = -x*q + 2*y + 9, -q - q - y = -6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 2. Let f = -6 - l. Let h = -0.1319 - -0.0319. Which is the nearest to -2\/3? (a) h (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -10. Let c be 2\/n - (-172)\/(-14). Let l = c - -20. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 9. Let h(w) = -w - w + 1 + w**2 + l. Suppose a = 4*r - 43 + 40, 15 = 3*a. Give h(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156*l*o**3*y - 2*l*o**2*y**2 - 8*l*o**2*y - o**3*y**2 - 4*o**3 - 2*o**2*y**2 + 5*o + 3*y**2 wrt o?\nAnswer: -936*l*y - 6*y**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 5*j + 5. Suppose -2*r = r + 3. Let t be (6\/4)\/(r\/(-2)). Let p = -8 + t. Give b(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(16\/9)\/(u\/u**(1\/32)) assuming u is positive.\nAnswer: u**(233\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/50)\/(10\/55 + (-96)\/165)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*j. Let l be (j - -6)\/(1 + 1). Let i(x) = 3*x + 48. Let d be i(-14). What is the highest common divisor of d and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1898*b**6 - b**5 - 3*b**3 - 169498*b**2.\nAnswer: -227760*b**3 - 60*b**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 139720\nAnswer: -139720.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*j = -24, -2*x + 4 = 2*j - 6. Suppose 0 = y - o - x + 2, -3*o - 1 = -5*y. Let b = y + 1. Solve 0 = b*g - 4 + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4411232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18751 is divided by 399.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -929*j - 4. Let f(m) = -924*m - 6. Calculate 2*f(t) - 3*s(t).\nAnswer: 939*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 8 - 3*a**2 - 9)*(4 + 2*a - 4) in the form f*a**2 + q + k*a + s*a**3 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39264578 - -4.\nAnswer: 39264582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 2, v: 3, i: 12}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 + -650. Let b be u\/(-26) + 2\/(-13). Let k be b\/(-6)*180\/(-75). Solve -4*v + k = 4*c, -3 = -4*c + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*h - 2*f - 8 = -251*h, -4*f = 18*h + 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78 (base 10) to base 5.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*v + 2*v + 3*v + (-2*v + 5*v - v)*(4 - 5 - 1) + 4*v - v + 0*v - 2*v - 10*v + 5*v + (2 + 2 - 1)*(1 + 0 + 0)*(4*v + 0*v - 2*v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4005 and 5185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5522086 less than or equal to 5522085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d. Let f(w) = -72*w**2. What is f(n(p))?\nAnswer: -4608*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*t - 31213 = -31477 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22554 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45405 is divided by 257?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2217 + 2221. Solve -3*j - 1 = 3*k + 2, x*j = 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42616757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2.119137 millilitres to litres.\nAnswer: 0.002119137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 95*k + 582. Let d be c(-6). Solve 54 = -d*p + 30 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000201613 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -135*w + 44*w + 161434. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2147619 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9016*r + 9002*r + 701*r**6 + 444*r**6 - 2*r**2 wrt r?\nAnswer: 137400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*b - 1020, -326*z + 321*z - 531 = -b. Calculate the highest common divisor of b and 512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 2\/35*a**7 + 0*a**3 + 0 + 0*a + 8*a**2 + 4\/15*a**5 + 0*a**6 + 0*a**4. What is the third derivative of o(u) wrt u?\nAnswer: 288*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -139b - 43790?\nAnswer: -44b6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, p: 4, m: 5, v: 2, x: 4}. Give prob of sequence vx.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/((64\/(-36))\/(-4)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -115, -394, -931, -1810, -3115, -4930, -7339?\nAnswer: -10426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7*594\/154 + -25. Factor -3\/2*l**b + 27\/2*l - 12.\nAnswer: -3*(l - 8)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 26 - ((-3 - 0) + -6)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 12*p - 32. Solve p = h + h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36eb (base 15) to base 10.\nAnswer: 11696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 32 = -0*b. Let g = -2 + b. Let n be g + 12\/9*-3. Solve -n = i + 4*k, 0*k = k + 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 144.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 5*l + 7. Let x be y(-6). Let c(j) = -406*j - 2439. Let m be c(-6). What is the nearest to x in 4\/3, m, -3\/4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 3127 = -5*r - 3098, -6*r + 25 = 5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 22. Put -1, k, 34 in descending order.\nAnswer: 34, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x**2 - 5*x + 5. Let m(l) = 10*l**2 + 7*l - 7. Let c(n) = -5*m(n) - 7*o(n). Let r(k) = -3*k**2. Determine r(c(p)).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -17*o**7\/42 - 23*o**3\/6 + 3*o. Find the second derivative of h(f) wrt f.\nAnswer: -340*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2 + 6 + 4*f - 5 + 2*f. Let h be j(1). Solve r = 4*k + 15, 21 = -4*r + 3*r - h*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.7389731 years?\nAnswer: 0.07389731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3106*f**4 + 1738 wrt f?\nAnswer: 12424*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -9, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 7:42 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - 57. Solve 3*n = z*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + h + 2. Suppose -2860 + 430 = -15*r. Let b be ((-4)\/(-6))\/((-36)\/r). Let j(o) = o**3 + 3*o**2 + 2*o + 8. Let g be j(b). Give d(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 16. Let p be (-80)\/30*(-81)\/d. Suppose -5*s = -p - 86. Calculate the remainder when s is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4765.\nAnswer: 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2471*o**2. Let w(c) = 62*c**2 - 135. Calculate w(g(n)).\nAnswer: 378562142*n**4 - 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + d - 2*d + (-4 - 2 + 3)*(d - d - 2*d) as w + f*d and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Differentiate 4 + 5*h - 5*h - 3 + h**r wrt h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.28 - -0.17. Let n = p + -6.05. Let y = n - -9.8. What is y rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65\/25 - 4\/(-10) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3.2. Let n = -344\/21 - -50\/3. Which is the smallest value? (a) n (b) r (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.5 - 2.32. Round y to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -9. Let l(a) = 2*a + 1. Let o(r) = r. Let g(m) = d*l(m) - 2*o(m). What is the first derivative of g(t) wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*u**2 + 72*u**2 - 23*u**3.\nAnswer: -23*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**3\/2 - y**2 + y. Let u(a) = -18*a + 3. Let z be u(2). Let j = 31 + z. Determine g(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 8 = -14. Let w be 1 + 2 - ((v - 3) + -1). Solve 3*m = -o + 6*m + 17, -o = -w*m - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/4)\/54*66\/(-22)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1296112653 divided by -3.\nAnswer: -432037551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m\/m**(2\/17)*m)\/m)\/m*m**(-2))**(-2\/31))**38 assuming m is positive.\nAnswer: m**(1444\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14228*n**2 + 14378*n**2 - 28604*n**2 + n.\nAnswer: 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -106842384 != -106842384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-8)*2)\/((-2)\/(-8)). Suppose -4*v = q - 4975 - 6115, -22210 = -o*q - 2*v. Suppose -5*x = 5*g - q, 3*x + 5*g - 5320 = 1348. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -m + v + 11, 4*m - 4*v = 92. Suppose 4*a - a - m = -4*k, 1 = k. Suppose 28*q + 14 = 35*q. Solve q*g - a = -15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/1 - (-7 + -11). Suppose -2 = 5*y - v, 5*m = y + 7891. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 683*f**4 - 2*f**2 + 6*f + 12386 wrt f.\nAnswer: 2732*f**3 - 4*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 9*s = -6*s + 68333, 5*v - 85424 = -4*s. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*b - 14 + 281*b - 3 - 560*b.\nAnswer: 2*b - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 + 4 = 0. What is the least common multiple of (-6 + (-192)\/(-42))*(0 - 7) and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 - 46064*i**3 - 263942016*i**2 + 14925560832*i.\nAnswer: -2*i*(i - 56)*(i + 11544)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -6*g - 39 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -341728873033 + -206.\nAnswer: -341728873239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*y + 206*y - 99*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99 + -94. Suppose m = -k + 6, -7 = v*m + 2*k - 34. Suppose 0 = m*c - i - 7 - 1, -18 = -5*c - 4*i. Solve s = -c*s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -27 + 0*l + 8\/21*l**3 + 1\/14*l**4 + 1\/210*l**5 - 2*l**2. Find u such that g(u) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: 53454b (base 13) to base 10\nAnswer: 1951844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 10:12 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 186 - 117. Let w = -46 + q. Let n = w - 22.9999942. What is n rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0273192 rounded to 4 decimal places?\nAnswer: 0.0273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 196897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5253265 by -1050653.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 785418817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*t = -3*r + 40, -4*r - 3*t + 53 = 0. Suppose 5*l + 3390 = 5*d, r = 5*l - 14. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5433ba + 2?\nAnswer: 5433bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 1\/42*q**7 - 67*q**2 + 0 + 0*q**4 + 0*q**3 - 49\/60*q**5 - 1\/120*q**6 + 0*q. Find the third derivative of u(y) wrt y.\nAnswer: 120*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11795 rounded to 3 decimal places?\nAnswer: 0.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 12*l - 10. Let d be n(13). Solve -4*t + d*t = -5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11043 + 2012?\nAnswer: -5031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 136 = 12*l. Let k = l - 53. Suppose 0 = -q - k + 7. Let c(g) = g**2 + 8*g + 11. What is c(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223832339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*f - 153 = y, 2*y + 4*f = 102. Let t(k) = 3 + y*k**2 + 3 - 3*k - 50*k**2. What is t(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1407.4 - -1403.4. Let w = -3.2 - -3. What is the nearest to i in -9, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/(-4*1*sqrt(10)))\/((sqrt(240)\/sqrt(4))\/sqrt(12) - sqrt(405)).\nAnswer: sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -6*i + 2*i. Let f(b) = 6*b + 13. Let h(y) = -32 + 19 + 5*y + 24. Let a(r) = 3*f(r) - 4*h(r). Determine a(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 171*d - 513, -5*s - 51*d - 47*d - 15 = -103*d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*2\/12)\/((-60)\/270)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 + 2*f**2 - 2. Let s(w) = 3 + 4 - 84*w**2 - 10*w**3 + 77*w**2. Let a = 25 + -4. What is a*o(u) + 6*s(u)?\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, 999, 3 in increasing order.\nAnswer: 3, 5, 9, 999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150.99929 + -151. What is h rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -128 (b) 1\/9 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -6\/25, -1, -0.1, 0, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 31*h**2 - h - 18. Let n be r(-31). Let f(w) = w**3 - 12*w**2 - 14*w + 16. Determine f(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222775\/67 + (-9)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3*y + 0)*(-3644 + 4524 - 2328) in the form t*y + p and give t.\nAnswer: -4344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 1\/6*j**3 + 0*j**2 + 0 + 0*j**4 - 1\/20*j**5 + 3*j. What is the second derivative of l(b) wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1380 + 1404)*(-1 + 1\/2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5557*j - 3*j**2 + 4 + 2779*j + 2770*j. Calculate x(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*k = 296, 4*k - 6 = 2*k. Let y = -60 - b. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -33 - -16 - (1 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 467002, 934004, 1401004, 1868002, 2334998, 2801992?\n\"Answer: -k**2 + 467005*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**3\/3 - 15*o**2\/2 + 26*o - 13. Let z be a(-16). Sort 2, z, -5 in decreasing order.\nAnswer: z, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432344 is divided by 211.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.275 + 95.225. Round n to the nearest integer.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 4*q**3\/3 - q**2 + 2*q - 2. Let v be p(2). Suppose -2*n + v = 4*t, -3*t - 7 - 7 = -2*n. Solve -n*b - 4 = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 9:45 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -481? (a) -1\/10 (b) 3\/7 (c) -9 (d) -0.5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 4*v + 5. Let f be y(-3). What is the remainder when (165\/f + -2)\/(2\/8) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26435 less than or equal to 26421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11126?\nAnswer: 2, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjxxxjfmmfmm. Give prob of picking 1 f and 1 j.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -97\/44 != -1\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 225 - 305. Let y = 119 + c. What is the remainder when y is divided by (2 - 1) + 0 + 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q. Suppose 0 = -0*h - h + 4. Suppose h*a = -3*m + 10, 5*a + 0 - 10 = -5*m. Let t(x) = -x + 2*x - 4 + a. What is w(t(r))?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -725, -1613, -2845, -4415, -6317, -8545?\nAnswer: -11093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10272 and 38092.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 49359*u - 49359*u - u**2. Let x(b) = 808*b. Calculate q(x(k)).\nAnswer: -652864*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 77413*s - 3027. Is w(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*(sqrt(140)\/sqrt(4) - sqrt(35)))\/(1*sqrt(720)) - ((-6*(sqrt(77)*3 - sqrt(77)))\/(sqrt(11) + (sqrt(11) - sqrt(198)\/sqrt(2))))**2.\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g + 82. Give b(0).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -708112 by 8.\nAnswer: -88514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1051 - 503. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17179000 rounded to the nearest one hundred thousand?\nAnswer: -17200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 11) to base 5.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, p: 2, u: 2, z: 2, b: 1, w: 5}. What is prob of picking 1 u and 1 z?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - c**3 + 3*c**3)*(-3*c**2 - 2*c**2 + 2*c**2) - 144*c**2 + 144*c**2 - 12*c**5 - 5*c - 6*c**5 + 5*c + (2 + 2 - 3)*(c**5 + 5*c**5 - 4*c**5).\nAnswer: -25*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4 = 13. Let t = q + 8. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-33)\/(-12)*2)\/((-6)\/12). Let x(j) = j - 6. Let q(o) = -3*o + 18. Let t(m) = -4*q(m) - 11*x(m). Let b be t(-7). Which is greater: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10 = -80. Let v = 5 + i. Let n = -5 + v. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**6\/24 + 3*w**5\/40 - w**4\/4 + w**3\/6 + 6*w**2. Let a(b) be the first derivative of u(b). Let a(m) = 0. What is m?\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -132045623\/2148 + 245895\/4. Let j(l) = l - 6. Let w be j(6). Which is greater: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i**2 + 1157 - 1157.\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4*k + 30 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/7 - 6261594*s\/7 = 0. Calculate s.\nAnswer: -6261594, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p + 24*p**2 + 0*p**4 - 4*p + 12*p**3 + 9*p**2 - 3*p**4 + 25*p = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7694 = -2*g - 3*i, 5*g - i = 7702. What is g rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 35*o**3 + 21*o**2 - 232*o + 580. What is a(3)?\nAnswer: 1018","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2291 + -1520. Let y(t) = v*t + 1 - 772*t - 1. Let m(z) = -7*z + 3 - 3. What is m(y(s))?\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 2040*a - 6084.\nAnswer: -4*(a - 507)*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*n**4 - 239*n**4 - 395*n**2 + 56*n**4 - 244*n**4 + 25*n**4 wrt n?\nAnswer: -10944*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 4.6. Let r = p + -11. Let a = 0.1 - r. What is the smallest value in 2\/7, a, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 9 - 6 = -3*u, -3*x + 3*u = 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.13, -5, 189, 0.3, -0.2, -6, 2.1?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**2 + 0*j**2 + 0*j**2)*(-2 + 4 + 3)*(-3 + 6 + 5) to the form s*j + u*j**2 + k and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(65)\/sqrt(5)*4 + 0 + 3.\nAnswer: 3 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90208665 divided by -44155?\nAnswer: -2043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1621944 and 180216?\nAnswer: 1621944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 348*w**2 - 21*w + 10 - 351*w**2 + 22*w.\nAnswer: -3*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**7\/147 - 4*t**6\/105 + 8*t**4\/21 + 16*t**3\/21 - 31*t. Factor g(d).\nAnswer: -2*d*(d - 2)*(d + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2. Let l(b) = -7130*b**2. Calculate n(l(a)).\nAnswer: -101673800*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 166*q**2 + 228582*q - 228582*q. Let c(t) = -2*t. What is m(c(h))?\nAnswer: 664*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-6))\/1 - 10*7\/(-14)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + 4*d - 3*d)*(-2 + 4 + 0) - 5*d + 13*d - 6*d - 1 + 10*d + 1 + (2*d - 2 + 2)*(-6 + 1 + 3) to the form a*d + g and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 - 2*m**3 + 3*m**2 - 5450*m - 2*m**2 - m**3 + 5451*m - 25*m**3 to the form w*m + r*m**4 + x + t*m**2 + a*m**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*t - 16*t**3 + 7*t**3 + 12*t**3.\nAnswer: 3*t**3 - 46*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-2.585\nAnswer: -1.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14909893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 57 - 497 = 0. Suppose j = -8*b + 6*b + 10, 5*j = 0. Suppose 336 = b*y + 16*y. Calculate the remainder when a is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 20 = -0*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 10 = -4*r, -3*r - z = z - 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 9:54 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -559\/2, -0.4, -5.\nAnswer: -559\/2, -5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m**3 - 4*m - 8*m + 49*m**3 + 12*m.\nAnswer: 29*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) -1\/8 (b) -0.6 (c) 36 (d) 7\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2935404 by 6.\nAnswer: -489234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -424 + 131?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5143967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**4\/24 - 3*c**3\/2 - 15*c**2. What is the remainder when 11 is divided by x(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 25 = -p. Suppose -104*z + 698298 - 688938 = 0. What is the smallest common multiple of p and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**5\/15 + f**4\/24 - f**3\/6 - 5*f**2. Let d(i) = -7*i**2 - i + 2. Calculate -3*d(p) - 5*q(p).\nAnswer: p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728 + 444 = -142*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3.9. Which is the closest to 0? (a) g (b) 1\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*u + 141*u + 4464 = 64*u for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 2:20 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.77 or -24059\/6?\nAnswer: -24059\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*b - b. Let i be (10*1\/(-3))\/((-2)\/24). Solve 5*n - 30 = -2*t, 4*t - i = -b*n - n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 + 6*a + 2*a**2 - 4*a**2 - 4*a - 3 to the form y*a**4 + h*a**2 + n + o*a**3 + f*a and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuukkku. Give prob of sequence uu.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 1:45 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 24 = -2*s. Let b = s - -40. Calculate the highest common divisor of 84 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19867*p + 1104574 = 290027 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/423 and 35\/127314.\nAnswer: 5983758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -j + 10, -i + j = 8 - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) + (-2 - (-4856)\/12). Let s = b - 388. Solve 6*p - 3*p + s = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtrrtttrttddt. Give prob of picking 3 r.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9\/51 - (-594)\/102\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 38*i + 21*i + 10*i + 328 = 0, 3*c + 5*i - 59 = 4*i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4509 or 2\/86807?\nAnswer: 4509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f + 9. Let j be p(-13). Let o = -42 + j. Calculate the greatest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -3\/5, 0, 6.4, 1\/5, -1?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/50 and 157\/30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1080900.\nAnswer: 2, 3, 5, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.56991kg to nanograms.\nAnswer: 9569910000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*l - 2*r - 13, -10 = -l - 2*r. Let z(u) = -u + 5. Let y be z(6). Let a(n) = -9*n + 1. Calculate the remainder when a(y) is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288832492 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + h - 1. Let w be l(3). Suppose w*f = 7*f + 112. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**3 + 184*w**2 + 396*w - 576 = 0. Calculate w.\nAnswer: -3, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43\/156 + -1\/39. Let m be (7 + -6)\/(-2 + 7). Let a be (-4 + 7 + -2)*(-7)\/(-21). What is the closest to a in f, m, -2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 29 = 3*g, 62944*g - 62970*g - 50 = 7*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1242 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -107202168 divided by 73026?\nAnswer: -1468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 121?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8165 + 20*t + 9279 - 1114 - 20*t - 3*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6578*q - 35*q**2 - 6578*q to o*q + a + p*q**2 and give p.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -777.4 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/12*(-8)\/(-6). Let j = 14 - 15. What is the nearest to j in 0.4, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*h = 3*n - 24, 2*h = -5*n + 205. Let i = 61 - n. Is (-30)\/(-165) - (-3714)\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167323.97 - 6101.\nAnswer: 161222.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.3, -3, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -t - 10, 9 = 4*d + 2*t + 17 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 4 + 5 + -6 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/112)\/(286\/(-182)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37.74 + -35.74. Let s = -7 + 3. What is the nearest to 1 in s, a, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -0.1 (c) -0.242 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-6\/5)*m*m*m**(-29) assuming m is positive.\nAnswer: m**(-136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1901 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 37*z + 642. What is the hundreds digit of i(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51105489 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 v, and 1 m when four letters picked without replacement from nvmskkknykssvny?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + (-2 - -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 - (9 - 15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1004413 (base 5) to base 11.\nAnswer: 11218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -14362 bigger than -14366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18106641 + 26416641. What is a rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -85307 or -85222?\nAnswer: -85222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*a**3 + 140*a**3 + 140*a**3.\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g**2 + 13. Let o(v) = 7*v**2 + 13. Let y(s) = 4*f(s) - 3*o(s). What is the first derivative of y(q) wrt q?\nAnswer: 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**3 + 39. Let q(i) = i**3 + 10. Give 2*n(g) - 9*q(g).\nAnswer: -g**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)*q*q)\/q**31*(((q\/((((q*q**17)\/q)\/q)\/q))\/q)\/q)**(-3\/16) assuming q is positive.\nAnswer: q**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*w + 4 - 15*w + 26*w to the form t*w + x and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37535604?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(-1*sqrt(4)) + (sqrt(1377)*-1 - sqrt(1377)) - ((sqrt(204) + -2*sqrt(204))\/sqrt(12) + sqrt(17) + 0 + sqrt(68) + sqrt(17)))**2.\nAnswer: 8228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 74 = -0*d - 2*t, 0 = 2*d - 3*t + 49. Let z be 6\/(-10) - 532\/d. Suppose -3*j + z = -4*n, 0 = 3*j - 2*n + 5*n + 9. Solve -3*x = -2*x + j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3260233 (base 8) to base 9\nAnswer: 1575540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26\/6 - (-16)\/(-12). Let x be 6\/5*(-10)\/o. What is the third biggest value in 4, x, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55928, -55929, -55930?\nAnswer: -55931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/9))**(4\/11)*i**10\/(i\/(i\/i**(-6\/7))*i*i))**(2\/3) assuming i is positive.\nAnswer: i**(12164\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 3, z: 5, m: 1}. Give prob of sequence qz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353*d + 359*d = -30. Put 1, d, -737 in descending order.\nAnswer: 1, d, -737","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30831463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, t: 12, m: 6}. What is prob of sequence mmn?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4242641 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/(-30))\/(2\/(-15)). Let n(w) be the first derivative of w + 0*w + w**3 + y - w. Solve n(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/2, -0.05, 2\/9, 9 in increasing order.\nAnswer: -0.05, 2\/9, 1\/2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 173, 0.1, -16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g + 55*g + 38*g)*(-4 + 1 + 2)*(3*g - 4*g + 3*g).\nAnswer: -164*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 7*k + 5. Let q be r(-6). Let h = 15 + q. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*q = -245*q + 19395 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 239019, 478050, 717087, 956130?\n\"Answer: 3*o**2 + 239022*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -695*o + 2804*o - 705*o - 3 - 673*o - 664*o.\nAnswer: 67*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2+290.9\nAnswer: 288.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 317, -147, 0.8 in ascending order.\nAnswer: -147, 0, 0.8, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -353?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 - 24*a**2 - 4*a + 52. Suppose 2*m - 8 = 4*r, -2*m + 6*m - r - 44 = 0. Calculate the lowest common multiple of i(12) and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (76\/2)\/((-2)\/(-4)). Let v(x) = -37*x**2 + 299*x - 5. Let u be v(8). What is the greatest common divisor of l and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 - 1\/9*t**2 - 2\/3*t.\nAnswer: -(t + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36607?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 8*n**2 - 13*n + 10. Calculate q(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybiiryrwwwbw. What is prob of sequence ywyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2111730301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.86 + 36.796. Let l = s - 35. What is l rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/4 - 93*u**2\/2 + 2883*u\/4.\nAnswer: 3*u*(u - 31)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-7)*b)\/b)**(6\/11) assuming b is positive.\nAnswer: b**(-42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide (-11892)\/(-9) + (484\/33 - 15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Let a = t + -1. Calculate the least common multiple of 6 and 9 - (0 + a\/1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16781 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*v = 132 + 18, -v = 5*z - 183. Let d = z - 19. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2 + 3 - 7*z + z. Let m be x(1). Let p = -1\/5 + 11\/30. Which is the second biggest value? (a) m (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45822 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-1 - (5 + -5)) - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -131\/3*j**3 + 0 - 193*j - 31\/6*j**4 - j**2. What is the derivative of q(v) wrt v?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -13\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(-93) - (-1612917)\/279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16771.7 or 3\/4?\nAnswer: 16771.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u - 2. Let n(f) = f - 4 + 4 - 1 + 0*f. Let c(p) = -m(p) + 2*n(p). Let y(s) = -2*s. Give c(y(v)).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**6\/120 - s**5\/12 - s**4\/24 - 5*s**3\/3 + 2*s**2. Let v = 10 - 4. Let g be n(v). Solve 4*x = -2*d - g, -x - 5 - 2 = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w - 42*w**5 + 48*w**5 + 0*w wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 - 2*w**2 + 3*w + 2. Let c(u) = 4*u**3 + 5*u**2 - 7*u - 5. What is -2*c(j) - 5*h(j)?\nAnswer: 2*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 539 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*p + 32 = 276*p - 5*o, 0 = -5*p - 3*o - 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*t - 8. Suppose -i + 505 = t*y, -2*y + 54 = -3*i - 165. What is the remainder when y is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from mmmmmmmmffmmmmfmmmmm?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and (-3)\/6 - (-143)\/22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*o + 7*w - 6*w, 0 = 5*o + w - 35. Suppose -1 = u - 3, -2*u - o = -4*a. Suppose -3*x = 3*b - 15, 4*x = -2*b + 17 - 1. Solve -b*q + 5 = a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2\/13, 145298, 1, -4.\nAnswer: -4, -2\/13, 2\/3, 1, 145298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 145 - -14366?\nAnswer: 14544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9 + 5 - 132 - 4. Let n be 4*3\/(-102) + z\/(-34). Solve -5*w + 0*w - n*q + 33 = 0, -q + 22 = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 8:21 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.114205 and 0.\nAnswer: -0.114205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -713*k**2 + 1. Let f(l) = -46841*l. Determine f(s(z)).\nAnswer: 33397633*z**2 - 46841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5719\/26 + 220. Which is the biggest value? (a) 3 (b) -3 (c) j (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(9)\/(sqrt(15)\/sqrt(5)))*-1 - (4 + sqrt(12)\/sqrt(4) - (2 + sqrt(192))).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-72)\/3*(-968)\/96*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**3 + 27970*i**2 - 40971315*i + 13460736960 = 0.\nAnswer: -6848, 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5150273539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 1 - 6*m + 6*m)*(-1 + m**3 + 1).\nAnswer: m**5 + m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 984253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5559 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 4*c - 131. Let g(y) = 6*y**2 - 14*y - 392. Determine 2*g(t) - 7*m(t).\nAnswer: -2*t**2 + 133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 403, 1578, 3523, 6226, 9675, 13858?\n\"Answer: -2*w**3 + 397*w**2 - 2*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q**5*q))\/q)**(4\/5) assuming q is positive.\nAnswer: q**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5047553 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 342.511 - 0.511. Let z = u + -341.99999026. Round z to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, x: 1, y: 8, j: 3}. What is prob of picking 2 y and 1 x?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8758, 8724, 8648, 8506, 8274, 7928?\n\"Answer: -4*k**3 + 3*k**2 - 15*k + 8774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 97*x + 1201. Calculate the remainder when 684 is divided by g(83).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**4 - 6. Let q(b) = -b**4 - 6. Let n(w) = 3*c(w) - 2*q(w). What is the derivative of n(a) wrt a?\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 2, 8, -2 in descending order.\nAnswer: 29, 8, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 3*s - 3. Let l be (-1 - 1) + -11 + 0. Let o be (-10 - l)\/(0 + 1). Give r(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2. Let y(v) = v**3 - 5*v**2 - 5*v + 6. Let d be y(6). Let w be d\/(-8) - (-36)\/8. Let i(x) = 6*x**2 - w*x**2 - 2*x**2. Calculate i(t(m)).\nAnswer: 25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8 + 275*z - 275*z + 2*z**3 wrt z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 253 + -249. Let v(r) = 3*r**2 + 3*r - 1. Let p(h) = 3*h**2 + 4*h. Determine a*v(w) - 3*p(w).\nAnswer: 3*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -115?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -3. Suppose -2*q + 6*q - 19 = -x, 4 = -2*q + v*x. Solve t = 4*y - t - 6, -q*y = -4*t - 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2731254?\nAnswer: 2, 3, 17, 26777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.12 + 11.12. Let q = -7166039 + 7166050.000022. Let n = q - z. What is n rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/9)\/(-20))\/(-3 + 2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 = -180*t + 186*t + 4*v, 2*v + 71 = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115*z**2 - 13*z - 19*z - 116*z**2 + 89*z**5 - 252*z**5 wrt z?\nAnswer: -9780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*h**3 - 179*h**2 - 2190 wrt h?\nAnswer: -9*h**2 - 358*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-235)\/(-10))\/((-3)\/(-12)). Suppose 2*i - 22 + 128 = 0. Let a = f + i. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 819190 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 420? (a) 4 (b) -4 (c) -0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + 4*(-1 + sqrt(3) - sqrt(3))).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 16 + 23)*(-2*q + 0*q + 4*q).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**3\/2 - 625*b**2\/2 + 320*b + 630 = 0.\nAnswer: -126, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 56, 120, 194, 278, 372, 476?\n\"Answer: 5*l**2 + 49*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 81*i + 5150. Determine o(1).\nAnswer: 5231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.2, -0.0322, -7.8, 5\/2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -16*(1\/(24\/156) + -8). Solve -10*t + 12*t = -2*y, 3*t - 5*y - g = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 949 + 1099. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 2038 - 998 = 0. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 662.656 meters?\nAnswer: 662656000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -1.5. Let d = -4.499958 - g. What is d rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 10:25 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -18 - (8 - 6 - 0)) + -6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2.16. Let x = s - -0.04. Let w = 8 - 12. What is the third smallest value in w, 0.5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(5700))\/(sqrt(3) + (sqrt(81)\/sqrt(3))\/sqrt(9))*2*-5.\nAnswer: 1 + 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - 0. Let t(a) = -a**2 - 7*a + 8. Let g be t(p). Solve 9 = 2*j + 5*o, g*j + 4*j = -3*o + 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45384246.\nAnswer: 2, 3, 29, 73, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 - 2*w**4 + 881*w + 1 - 1763*w + 9*w**3 + 882*w to v*w**2 + z*w**4 + a*w**3 + o*w + f and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1339*a**6*h + 255*a**4*h + a**3 - 2305*a**2 - 1079*h wrt a?\nAnswer: 160680*a**3*h + 6120*a*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214867.\nAnswer: 214867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 21282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 11*o + 21. Give f(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001551 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 0*w**3 - 2*w**2 + w**3 - 2*w**2 + 4 - 6*w. Let m be 4\/(-6)*(2 + -13 - -2). Does 12 divide r(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 16*r**2 + 20*r - 50. Let w be h(17). Let s be ((-4)\/6)\/w*117\/(-273). Which is the fourth smallest value? (a) s (b) 2 (c) -0.05 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -21, 9, 3 in decreasing order.\nAnswer: 9, 3, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n - 8. Let y(f) = f. Calculate t(u) - 6*y(u).\nAnswer: 3*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11*h + 1. Let o be m(3). Let b = -27 - o. Suppose 0 = 3*l + 3*t + 9, -l + 2*t = -b*l - 4. Solve -2*w - l = d - 0, d - 4 = 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004595452 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*b - 29*b = 171. Suppose 3451 = b*z - 5828. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*f - 148 + 224 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (0 - 1) + 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1107, -1113, -1119, -1125?\nAnswer: -1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746266832?\nAnswer: 2, 23, 2027899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 10 = m + 16, 0 = 5*m - 5*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -10. Let w = 2140 + -1589. Let z = 552 - w. Which is the nearest to z? (a) g (b) 0.1 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*s + 10990 = 872*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttsstttsss. What is prob of sequence tst?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -510*h**3 + 5*h**4 + 13356*h**2 - 6*h**4 - 13228*h**2 - 3*h**4 - 4*h**4 = 0.\nAnswer: -64, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**2\/2 - 6*i - 3. Let m be -8*2*(-1)\/(-2). Let n be c(m). Solve -4*y + 3*y = n*o + 2, -2*y + 10 = -3*o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, s: 4, k: 1, c: 1}. Give prob of picking 3 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*o = 5, -2*o = -5*u + 37 + 3. Suppose 0 = -5*i - u + 45. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -6. Suppose 0 = 6*c - 46 - 8. Suppose w*p - c*p = -165. Is p a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4620 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 10.8188325ms?\nAnswer: 0.00000001788828125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f = 22*f + 4*c - 20, -f - 2 = 2*c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 1240?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 140\/(-20)*4\/(-7). Let i(p) = -7*p - 10. Let o(c) = 6*c + 10. Determine n*o(g) + 5*i(g).\nAnswer: g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42873273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 478656 by 53184.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3250277 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -483258, -966517, -1449776?\n\"Answer: -483259*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4228*-17.08\nAnswer: 72214.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**5\/7 + 634*p**4\/7 + 1873850*p**3\/7 + 1067354*p**2 - 5613720*p = 0.\nAnswer: -820, -7, 0, 3, 1141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = -5*y + 5*s + 9, 2*y - 2*s + 6 = 0. Let g be 11\/198 - (-195)\/1350. Suppose 1\/5*r**2 + y + g*r = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, b: 3, n: 1, y: 1}. Give prob of sequence bs.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(208) + sqrt(13) + 1 + 0.\nAnswer: -2 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*r + 52 = 0, -4*r = -2*t - 1 + 61. Suppose -7*h - t = -42. Factor 3\/4*y**h + 0 + 3\/8*y**4 - 9\/8*y**3 + 0*y.\nAnswer: 3*y**2*(y - 2)*(y - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + ((0 - 0) + 8 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*h - 9389 - 2610 = 194*h for h.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 13*h**8\/2520 + 41*h**7\/1575 - 7*h**6\/900 - 41*h**5\/450 - h**4\/30 + 9496*h**2. Let q(w) = 0. Calculate w.\nAnswer: -3, -1, -2\/13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-2) - (-12)\/(-20). Let r = 1221 + -4885\/4. Which is the closest to 1? (a) t (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a7e (base 16) to base 9\nAnswer: -3614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1411.973 - -1413. Let p = -0.66 - 0.29. Let x = c + p. What is x rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**5\/60 + f**4\/2 - 14*f**3\/3 - 226*f**2. Determine u(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 57.69468 and 41.71.\nAnswer: 99.40468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3001 (base 4) in base 15?\nAnswer: cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 174.30431 + -174.3. Round a to 4 decimal places.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2844 (base 10) to base 3\nAnswer: -10220100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146104 divided by -483.\nAnswer: 20872\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(175)*4 - sqrt(175))*3)**2.\nAnswer: 1080*sqrt(7) + 14319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-16)*2*(-24360)\/406.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*i**3 - 2589895*i**2 - 49085120*i.\nAnswer: 30*i - 5179790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 28, -5, 5, 3, 4.\nAnswer: -5, 2, 3, 4, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24008754 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*o**2 + 437*o**2 - 318*o**2 - 327*o**2.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-1 + (-9)\/7). Let p = 0.1 - -3.9. Which is the second smallest value? (a) v (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 4)*(3*a**3 - 48*a**2 + 41*a**2 - 15*a**3) to the form x + m*a + o*a**3 + i*a**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 3 + 1)*(2 + 0 - 3) + 2 - 2 - 3)*(3*v**4 + 2*v**4 + 0*v**4) to the form i*v + q + d*v**2 + w*v**3 + u*v**4 and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.9 + -0.1. Let f = j - -10. Let n(q) = q**3 + 3*q**2 + 2*q - 3. Let y be n(0). Which is smaller: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 50 + 15b81?\nAnswer: 15c01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00044611 rounded to 5 dps?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 6, b: 6, h: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000465 rounded to six decimal places?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 32*v - 78. Let b be k(29). Let c(s) = 0*s + 11*s + s - 18*s + b*s. Let d(o) = 145*o**2. Determine d(c(r)).\nAnswer: 1305*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1959 - -1955. Which is the nearest to 0.1? (a) m (b) 3 (c) 0.4 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1577.\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 33993.9969 to the nearest 10.\nAnswer: 33990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -12*x**3 - 6*x**2 + 10*x + 9. Let o be c(-1). Let -8\/3*k**2 + 4\/3*k**4 - 1\/3*k - 1\/3*k**o + 4\/3 + 2\/3*k**3 = 0. Calculate k.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n**2 + 2*n - 5. Let b = -27 - -30. Suppose -m = 5 - b. Let o(g) = -3*g**2 + g - 2. Let p(s) = m*i(s) + 5*o(s). Factor p(f).\nAnswer: -f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*r - 44*r - 52 = 0. Suppose k - 6*j = -j + r, -3*k = -3*j - 30. Which is the second biggest value? (a) -5 (b) k (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/18 - ((-1)\/(-6) - 50\/125)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**2*x**4 + 49006*c**2*x**2 - 11940*c*x**4 wrt x.\nAnswer: 24*c**2*x - 286560*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26941 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: Is -6 - (2 - (542 - -7)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 30437630?\nAnswer: 395689190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.6 - 0.9. Let t = v - 2. Which is the closest to -1? (a) t (b) -3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 8*r - 4759 = x, 0 = r + 2*x - 2387. What are the prime factors of r?\nAnswer: 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41017 is divided by 40100.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 8:33 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-12))\/(1\/(-15)). Let q(b) = -b**2 + 11*b - 2. What are the prime factors of q(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((0 + -8 - -8 - 9) + 2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 6 - -2 - (5 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3342*d**3 - 502 + 76*d**2 - 73*d**2 + d + 1059 + 87*d**3 + 857 wrt d.\nAnswer: -19530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 2*s**2 - 6*s + 7*s. Let n(d) = 2*d**2 - 3*d. Suppose -2*q - 37 = -41. Calculate q*n(u) + 3*x(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -0*g - 19 - 221. Solve 4*m = n + g, 56*n - 54*n = -3*m + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -570662.65 plus 0.03?\nAnswer: -570662.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/7)\/(c**(6\/5)*c))\/(c*c*c**(2\/5)*c**(-1\/14)))**(-2\/45) assuming c is positive.\nAnswer: c**(307\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 6784*f**2 + 14261*f**2 - 7117*f**2.\nAnswer: 360*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1944 is divided by 648.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/18 and 17\/168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.107, -3 in ascending order.\nAnswer: -3, -0.107, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*d - 14*d - 2 - 8)*(-52 - 20*d**2 + 52).\nAnswer: -60*d**3 + 200*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-6)*18\/4. Let u(h) = -q*h**2 - h**2 - 7*h + 10 - 4. Let k(r) = 8*r**2 + 8*r - 7. Let l(g) = 2*g + 7. Let f be l(-6). Calculate f*k(m) - 6*u(m).\nAnswer: 2*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725370567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1049*i - 1 + 6*i + 370*i)*(12*i**2 - 30*i**2 - 8*i**2).\nAnswer: -37050*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 474383774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, q: 3}. Give prob of sequence ffq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25526 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 6*c - 36. Let s(u) = 3*u - 8. Let r be s(3). Let t be (57 + -55)\/(r + (-9)\/11). Is k(t) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 12) to base 5.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*p + 9, 3*j - 41*p + 46*p = 3. Solve -37 + 25 = -j*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*s**2 + 5*s**2 - 29 + 28 + 20*s**2 to a + b*s**2 + t*s and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -103320 (base 4) to base 14\nAnswer: -66c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) 1\/1068 (c) 0.4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/83844 and -101\/612?\nAnswer: 83844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 936521953 to the power of 1\/4, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18369 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1327824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259 and 1073?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/59330 and -155\/8058?\nAnswer: 14061210","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 9113\/3 + -3039. Which is the third biggest value? (a) z (b) 10\/11 (c) -161\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-11844)\/(-64) + 1. Let w = j - 184. What is the second smallest value in w, 3\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/45515 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.5251725 to 1 dp.\nAnswer: 38.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2374\/7 + -340. Sort -1\/5, -31, -2\/11, t in increasing order.\nAnswer: -31, t, -1\/5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 2, t: 11}. What is prob of picking 2 v?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 - 113. Let b(a) = -2*a - 5. Let j be b(-4). Suppose j*w = x*w - 24. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -357547.716 to the nearest one thousand.\nAnswer: -358000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3635155\/39 + 93209. Let f be 87\/(-105) - 4\/(-10). Sort f, -4, m in decreasing order.\nAnswer: m, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -14974 + 14974 - 155*n. Let f(i) = 15*i**2. Calculate q(f(p)).\nAnswer: -2325*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -11, -20, 95?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -243 + 239. Let y(n) = -13*n - 37. What is the remainder when y(r) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1181561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 120 - 18 = 0. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/1 + -2 + 0. Suppose -117583 = 9*g - s*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2. Let w(k) be the first derivative of 5*k**3\/3 + 2. Give y(w(z)).\nAnswer: 25*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112122503 (base 6) to base 7.\nAnswer: -23354022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and 34.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b**4*s - 2*b**3*s + b**2*s - b*s + 6*b wrt b.\nAnswer: -120*b*s - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764852 to the power of 1\/2, to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v - 2. Suppose -3*a - 9 = -v*r - 26, -2*a + r + 10 = 0. Is (0 + a)\/((-3)\/(-22)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151459921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -46, 433, 912, 1391, 1870?\n\"Answer: 479*f - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7\/5)\/o)**9)**(3\/17) assuming o is positive.\nAnswer: o**(-324\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*y + 7*p + 136, 3*y + p = 110. List the prime factors of (-8)\/y + (-580)\/(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 38*n + 327. Suppose -1 = -5*w + 9. Suppose 5*q = -3*g - 8, -w*g + 9 = -q - 3. Calculate the remainder when u(7) is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3791 + 3791.2511. What is s rounded to two dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d - 30. Let q(s) be the first derivative of s**4\/4 - 2*s**3 + 2*s**2 - 6*s + 1. Is 9 a factor of q(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**6\/240 - 1389*s**5\/20 - 1929321*s**4\/4 - 1786551246*s**3 + s**2 + 94*s + 8. Factor a(n).\nAnswer: -(n + 2778)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((245\/14)\/(-7))\/(((-17850)\/20)\/21).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 44 = -0*c - 2*c, -3*k - 2*c + 8 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4823125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 5*h**2 - 6. Let t be u(5). Let d(x) = x**2 + 4*x - 8. Let n be d(t). What is the second derivative of 3 - 3 + 3*k**n + 14*k - 18*k wrt k?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/579777 and -121\/105414?\nAnswer: 1159554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 6*u**2 - 3*u + 5. Suppose -25 = -o + 4*n, -2*o + o + 20 = -3*n. Suppose -37 = 3*f + o*c, -29 = f - 4*c + 9*c. Determine y(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7257595884.\nAnswer: 2, 3, 7, 11, 7854541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(3) + 0)**2 + (sqrt(3) - (sqrt(3) + (sqrt(27)*-5 - sqrt(3)) - sqrt(3)))**2.\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68370 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20909561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + -100. Let i = 242 + h. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.52 - 1.15. Let y = 0.13 + n. Let u = -1.5 + y. Which is the nearest to u? (a) -2 (b) 4\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 x, and 1 w when three letters picked without replacement from xvxvxxxxxxxaxxxwaxa?\nAnswer: 13\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 82*n**2 + 2*n - 9. Let y(g) = -321*g**2 - 9*g + 38. What is -9*a(x) - 2*y(x)?\nAnswer: -96*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 8:46 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-30 - (-38 - -15))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 4*g - 43996, 5*a + 13*g = 96001 + 13971. Is 62 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**2\/4 + 45*z\/2 - 297\/4 = 0.\nAnswer: -33, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/9, 0.3, -3\/5, 3\/4, 4\/9 in decreasing order.\nAnswer: 13\/9, 3\/4, 4\/9, 0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/8)\/((-3)\/24). Suppose o - 6*d - 574 = -f*d, 5*o - 2914 = -2*d. Calculate the highest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9687 - 13734. Which is smaller: 0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1274 and -6630132.\nAnswer: -6631406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002830763374 rounded to 5 dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19901, -159748, -539461, -1278974, -2498221, -4317136, -6855653?\nAnswer: -10233706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*i = -386*i + 130 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 314 + -4?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00098437016 to six decimal places.\nAnswer: 0.000984","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -297 or -290?\nAnswer: -297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.123 - 0.523. Which is the closest to -1\/3? (a) 2 (b) -0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, e: 2, s: 2, r: 4, h: 6, f: 3}. What is prob of picking 2 f and 1 e?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/72 and (539\/2016)\/(-11 - -10).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -400 + 215634?\nAnswer: 215234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**2 - 3*y - 6. Let g(j) = -6*j**2 - 8*j - 16. Let z(s) = -8*a(s) + 3*g(s). Let w(m) = -28*m**2. Calculate w(z(o)).\nAnswer: -1008*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1594447, -5, 3 in ascending order.\nAnswer: -1594447, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from yadadayaoayydad?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7362 (base 11) in base 2?\nAnswer: 10011000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8*(-15)\/10 + -3. Calculate the lowest common multiple of 1\/(-3) - (-129)\/z and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 137 = 33. Let h(f) = 4 - 2*f + 4*f + 2. Does 14 divide h(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, r: 11, z: 1}. Give prob of sequence zr.\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 1 - 40 - (4 + -4).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o. Let j be (-4 - -1) + 18*2\/6. Suppose 3 = p, x + 2 = p - j. Give t(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 357396 by 158.\nAnswer: 2262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + j**2 + 4. What is s(-4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 219 and 2.3.\nAnswer: 503.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -21200112?\nAnswer: 21200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 - 1596014*n\/3 - 1596016\/3.\nAnswer: 2*(n - 798008)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1212011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*b + 5 = -2, -5*z - 3*b = 5. Let i = z - 2. Let g(y) = 5*y**2 + 27*y + 9. Let l be g(-5). Sort -3, i, l in increasing order.\nAnswer: -3, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + c - 3*c + (-5 + 1 + 2)*(-2*c + 4*c - 4*c) + c + 3 - 3)*(-7 + 10 - 13).\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -568 (base 10) in base 14?\nAnswer: -2c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 438211291?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3\/17 + 1178680*r**2\/17 + 10215134218*r - 1041986123148\/17 = 0.\nAnswer: -294673, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3096805?\nAnswer: 5, 17, 36433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (126\/49)\/(-6) + (-76)\/(-14). Let m = 197\/42 + -34\/7. Which is the third biggest value? (a) m (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2920, 1\/19, -5?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1966455?\nAnswer: 3, 5, 89, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 472 + -457. Calculate the remainder when i is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/20)\/(2\/(-5)). Let f(k) = k + 5. Let g be f(-5). Suppose g = -3*p - 2*p. What is the second biggest value in 3, p, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 158858, 6, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 2:30 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 e when four letters picked without replacement from rzzllzrzrzzellzll?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 8:10 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5742134 is divided by 49078.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**4 - f**2 - 30*f. Let p(t) = -74*t**4 - 17*t**3 + 58*t**2 - 128*t + 2. Let l(j) = 4*a(j) - p(j). Find the third derivative of l(q) wrt q.\nAnswer: 1872*q + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/1207 - -1211\/2414. Let j = 33 + -32. Which is the fourth biggest value? (a) 13 (b) z (c) -3\/2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 17*k**2 + 17*k - 32. Give a(-17).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.031? (a) 2 (b) -1307 (c) 16 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 2*g = 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 + 68 = 34*z + 10*z. Let m(p) = -p + 2. Let f be m(3). Let t = f - -9. Calculate the lowest common multiple of t and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -138675*y + 3050820. Determine l(22).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3756 - 4*r**3 - 11267 + 3758 + 3753.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 g, and 2 i when four letters picked without replacement from iaiagaiiiaagii.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 12 = 0, -k + g - 2 = -10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-27)*((-1)\/(-4) - 1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 405 and 502335.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*i + 9*i + 36*i)*(2*i - 2 + 2).\nAnswer: 136*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (576\/1024)\/(4\/(16\/3)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1798170200 to the nearest 1000000.\nAnswer: 1798000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -0.004779?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(sqrt(176)*-2 + sqrt(11) + -3*sqrt(44))*-1)**2.\nAnswer: 390*sqrt(11) + 16756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 - 84*n**2 - 809*n + 18. Calculate a(-27).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6048 - 6046. What is the nearest to -7.6 in u, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 9*v**2 - v + 26*v**2 - 1 + 49*v**2.\nAnswer: 84*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -297.96 + 303. Let p = 3.9 - l. Round p to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-1157.\nAnswer: 57.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*m + 3. Let y be 8\/(-6)*(-6)\/4. Solve -h = -y*h - m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 142*((-43990)\/4000 - -11) and -37\/1600.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.02461mm in meters?\nAnswer: 0.02502461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**4 + 15535*a**3 - 170375*a**2 + 294165*a - 139320 = 0. Calculate a.\nAnswer: 1, 9, 3096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 29\/(232\/(-102))*40\/(-30)*-2\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/22)\/(5576\/(-2176)) and 22\/287?\nAnswer: 3157","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 60 = 260. Let j be (-3)\/(-21) + f\/35. Which is the third biggest value? (a) j (b) 2 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 51, -2 in ascending order.\nAnswer: -2, 0.2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -860*m**2 - 6*m + 645. Let l(o) = 858*o**2 + 8*o - 644. Let w(s) = -4*d(s) - 3*l(s). What is the first derivative of w(r) wrt r?\nAnswer: 1732*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkz when three letters picked without replacement from {y: 1, l: 2, w: 1, z: 4, k: 3, g: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 5:59 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioqq when four letters picked without replacement from {q: 5, m: 2, i: 2, o: 4, t: 1}?\nAnswer: 20\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36250 and 72500.\nAnswer: 72500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263 + 7*d + 22 + 241.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103863 by -70.\nAnswer: 103863\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -129? (a) -3\/8 (b) -1 (c) 5 (d) -30 (e) -0.53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3\/5, -2365, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -6\/35*a**5 + 6\/7*a + 8\/7*a**3 - 1\/14*a**6 - 1 + 3\/2*a**2 + 3\/14*a**4. Factor q(o).\nAnswer: -3*(o - 2)*(o + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 1, x: 1, b: 2, j: 2}. Give prob of picking 1 b and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 401201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13*37.49\nAnswer: -487.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -257 + 5?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2202022211212 (base 3) in base 10?\nAnswer: -1462991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 7) in base 4?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*u - 21 = 0, z + 5*u - 15 = 2. Suppose 3*o + 2 = -2*g - z, 5*o - 60 = 5*g. Let k = g + 16. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v**(3\/10)*v)))\/(v**5\/v)*v**4\/v**(3\/5))**40 assuming v is positive.\nAnswer: v**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7)*p\/p**0*(p*p\/((p*p**(1\/3))\/p)*p)\/p*p**(-5)*p*p)**(-35) assuming p is positive.\nAnswer: p**(770\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56160546 + 0.1286.\nAnswer: 56160546.1286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(9\/(27\/16)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/8022 and 58\/987.\nAnswer: 377034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 0 + 8*v + 5 + v**2 + 5 - 4. Let a be p(-11). Let b be -3 + 0 - (-119)\/a. Is b equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/((-15)\/852))\/(54\/135) is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 4) to base 7\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7, 2, -3, -8?\n\"Answer: -5*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061643 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(117\/182)\/(-9).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1363 = a - 4*a, -1698 = -5*g - 2*a. Let q = g - 150. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 32 (b) -2\/3 (c) 140 (d) -9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(684) + 4 + (sqrt(684) - ((sqrt(684) - (sqrt(684) + sqrt(684)*2)) + sqrt(684)))*5)**2.\nAnswer: 528*sqrt(19) + 82780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j + 12. Let x be s(-5). Let n = x - 9. What is the remainder when 105 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 148*u - 913. Let a be m(-7). Solve -a*d - 12 = -86*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 16*u**2 + 10*u + 1. List the prime factors of s(-6).\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 - 4*t**2 + t. Suppose -s = p - 6*p - 69, 3*s - 3*p = 243. Suppose q = -27*q - s. Determine i(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3562 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 + -64. Let v(u) = 6*u**3 - 5*u + 5. Calculate the lowest common multiple of v(1) and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*a + 5*i, -2*i = -17*a + 22*a + 33 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35434 (base 9) in base 2?\nAnswer: 101110010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -80, 2055, 4, 1 in increasing order.\nAnswer: -80, 1, 3, 4, 2055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1ab08 (base 14) to base 16\nAnswer: -109b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -2a?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -29*m**3 - 2 + 26*m**3 - m + m. Let u(q) = -9*q**3 - 6. Give 7*a(z) - 2*u(z).\nAnswer: -3*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9ee + -8?\nAnswer: 9e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/2 + (12 - 15). Which is smaller: z or -2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5002279, 10004555, 15006831, 20009107, 25011383, 30013659?\nAnswer: 35015935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 20*t - 5. Let l be p(2). Suppose -5*x = 5*z + l, -3*x + z + 2*z = -3. Put 5, -4, x in decreasing order.\nAnswer: 5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 1:26 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 78590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58617 is divided by 573?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - 1 - (591 + -620).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 181 - 185. Let g = 3 - 2.7. Let h = g + -0.5. Which is the second biggest value? (a) i (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-15)*m**9 assuming m is positive.\nAnswer: m**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -828\/11 + 3323\/44. Let s be (-2 + 1)\/((-61)\/488). Determine h so that o*h**4 + s - 11\/4*h**3 + 21\/2*h**2 - 16*h = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4361.158 millennia?\nAnswer: 4361158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/4, -2\/97, -2\/7, -2\/3 in descending order.\nAnswer: 1\/4, -2\/97, -2\/7, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 131103*d - 130757*d - 9688 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a - 27*a + 15*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2\/285, -0.07 in descending order.\nAnswer: 0.3, -2\/285, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -239.902, -1\/4, -0.27 in increasing order.\nAnswer: -239.902, -0.27, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6374163*u**3 - 21441*u**2 - 85 wrt u?\nAnswer: -38244978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**4\/4 + 2*n**3 - 2*n**2 - 7*n - 45. Let l = 6 + -1. Determine j(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 - 100 - 40 = -58*s. Solve 1 = 5*p + 4*z, -s*p - 10 = -z - 16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 57*w - 197 - 105 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 d when three letters picked without replacement from {y: 2, d: 1, r: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 301001210 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 556 and 2780.\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-7 + 0 - (-36 - -41)) + (-5 - 120)\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25991 - 276*k - 401*k - 97*k + 12994 + 13003.\nAnswer: -774*k + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 1. Suppose -4*w - u + 9 = 0, -3*w - 15 = 2*w - 4*u. Let p(v) = -14*v - 16. Determine w*p(n) + 12*t(n).\nAnswer: -2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -92126 divided by 9649?\nAnswer: -92126\/9649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*u + 39, -3*u = -3*l - 2*u + 57. Let c be (l\/(-48))\/(3\/(-2)). Put c, -2\/7, -1, 3 in ascending order.\nAnswer: -1, -2\/7, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**5\/6 - 19*g**2. Let z(k) = -3*k**2. Give x(z(l)).\nAnswer: -90*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 17 = -d, -3*s + 53 = d + 40 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c2 - -38?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, m: 5, y: 7}. What is prob of sequence mmcy?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5 + (6 + 35 - -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 1:05 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1908 + 1908 - 127*p)*(14 + 10 + 1)*(0*p + 3*p - 2*p) as o*p + v + y*p**2 and give y.\nAnswer: -3175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -8, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/10*830\/249.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1 - 1 = 0. Let p = 2 - 4. Let q be (6\/(-1))\/(4\/p). Solve q*m - m - 10 = k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78771 and 358050.\nAnswer: 3938550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546145177?\nAnswer: 19, 5281, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/(-39) + 41\/(-3). Let i(j) = -j**3 - 13*j**2 + 11*j - 10. Is i(u) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 24. Let v be j(0). Let p = v + -22. Differentiate -7*d - 13 + 7*d - d**p + 0*d**2 wrt d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61763130 a multiple of 2574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 7:43 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 3:14 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*0.02774.\nAnswer: -0.38836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.775768 weeks to minutes.\nAnswer: 98539.74144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12782 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*(r*r**(-1))\/r)\/r)\/(r*r*r**(-7)\/r)*(r*r**(3\/2))\/(r\/(r*r**(2\/11)*r)))\/((r\/((r**(-1)*r)\/r))**9)**(-24) assuming r is positive.\nAnswer: r**(9717\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 11:18 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -149. Let h = j + -110. Let m(b) = -8*b**2 - 11. Let k(p) = -4*p**2 - 5. Give h*m(g) - 7*k(g).\nAnswer: 4*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmhu when four letters picked without replacement from {f: 1, m: 5, h: 2, u: 1, i: 3}?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 203, 477, 861, 1355?\nAnswer: 1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**4\/6 - b**3 - 15*b**2. Let z be m(2). Solve 0 = z*n - 0*n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5165 + -5228. Let c be 10*(1 + 101\/5). Is 10 a factor of c\/7 - (-18)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 14 = 2*j, 2*j + 14 = j - 5*z. Let a be (-53824806)\/819 + j\/(-26). What is a rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f - 600 = -29*f. What is the least common multiple of 5*16\/f*9 and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 i when two letters picked without replacement from iakaa?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.47 - -64.43. Let k = y + -76. What is k rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0491 + 1872.0491. Let m = 1872.000001007 - l. Round m to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 - 668.273186.\nAnswer: -668.183186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + c**2 - 1. Let o(h) be the third derivative of h**6\/120 + h**5\/30 + h**4\/24 - h**3\/2 + 19*h**2. Give -2*f(v) + o(v).\nAnswer: 3*v**3 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1908334.\nAnswer: 2, 954167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*z + 12, -4*o + 9*o = -4*z + 2. Suppose 3*q + 324 = 3*u, -3*u + 2*u = -o*q - 108. Let v = -115 + u. What is the common denominator of v and 29\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*x - 20, -24*x + 28*x = -2*w + 30. Solve 3*k + 15 = 3*g, 8*g + k - 11 = x*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34\/7? (a) -10 (b) 0.1 (c) 1\/3 (d) 1\/235 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 5:09 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*j + 442 + 318 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-4 - (-308)\/84).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**7\/210 - k**5\/30 + k**3\/6 - 5*k**2. Factor n(q).\nAnswer: (q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -6.1. Let g = 0.01 - -1.99. Let k = g + -2. What is the closest to -1 in 0.1, k, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -20\/7, 5\/6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33, 56, 153, 258?\n\"Answer: 4*q**2 + 77*q - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/13 + (-2528)\/(-208) + -10. Factor -9\/2*t**w + 0*t + 1\/2.\nAnswer: -(3*t - 1)*(3*t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1136, 1145, 1142, 1121, 1076?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11658359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107 + -207. Let u = 14540255.00113 + -14540155. Let s = n + u. What is s rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3\/2, 8\/19, -0.3, 3, 0.0219, 0.4, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 4 - 4) + -7 - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 + 3*s**2 + 226*s - 226*s as z*s**2 + p*s + o + d*s**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -bb?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44249006?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 11. Let g = -9 - x. Let i = -23 - -20. What is the closest to 0 in g, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010101000101001100001 + -101?\nAnswer: -1100010101000101001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}